This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5-7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Universite d'Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects.

Geomicrobiology is a combination of geology and microbiology, and includes the study of interaction of microorganisms with their environment, such as in sedimentary rocks. This is a new and rapidly-developing field that has led in the past decade to a radically-revised view of the diversity and activity of microbial life on Earth. Geomicrobiology examines the role that microbes have played in the past and are currently playing in a number of fundamental geological processes. The present book is of great importance for researchers working in the field of microbiology, biotechnology, geology and environmental biotechnology. It can be a major reference book for students as well as researchers.

Geomicrobiology is a combination of geology and microbiology, and includes the study of interaction of microorganisms with their environment, such as in sedimentary rocks. This is a new and rapidly-developing field that has led in the past decade to a radically-revised view of the diversity and activity of microbial life on Earth. Geomicrobiology examines the role that microbes have played in the past and are currently playing in a number of fundamental geological processes. The present book is of great importance for researchers working in the field of microbiology, biotechnology, geology and environmental biotechnology. It can be a major reference book for students as well as researchers.

This book discusses the revolution of cycles and rhythms that is expected to take place in different branches of science and engineering in the 21st century, with a focus on communication and information processing. It presents high-quality papers in vibration sciences, rhythms and oscillations, neurosciences, mathematical sciences, and communication. It includes major topics in engineering and structural mechanics, computer sciences, biophysics and biomathematics, as well as other related fields. Offering valuable insights, it also inspires researchers to work in these fields. The papers included in this book were presented at the 1st International Conference on Engineering Vibration, Communication and Information Processing (ICoEVCI-2018), India.

An increasing variety of biological problems involving resource management, conservation and environmental quality have been dealt with using the principles of population biology (defined to include population dynamics, genetics and certain aspects of community ecology). There appears to be a mixed record of successes and failures and almost no critical synthesis or reviews that have attempted to discuss the reasons and ways in which population biology, with its remarkable theoretical as well as experimental advances, could find more useful application in agriculture, forestry, fishery, medicine and resource and environmental management. This book provides examples of state-of-the-art applications by a distinguished group of researchers in several fields. The diversity of topics richly illustrates the scientific and economic breadth of their discussions as well as epistemological and comparative analyses by the authors and editors. Several principles and common themes are emphasized and both strengths and potential sources of uncertainty in applications are discussed. This volume will hopefully stimulate new interdisciplinary avenues of problem-solving research.

It follows naturally from the widely accepted Darwinian dictum that failures of populations or of species to adapt and to evolve under changing environments will result in their extinction. Population geneti cists have proclaimed a centerstage role in developing conservation biology theory and applications. However, we must critically reexamine what we know and how we can make rational contributions. We ask: Is genetic variation really important for the persistence of species? Has any species become extinct because it ran out of genetic variation or because of inbreeding depression? Are demographic and environmental stochas ticity by far more important for the fate of a population or species than genetic stochasticity (genetic drift and inbreeding)? Is there more to genetics than being a tool for assessing reproductive units and migration rates? Does conventional wisdom on inbreeding and "magic numbers" or rules of thumb on critical effective population sizes (MVP estimators) reflect any useful guidelines in conservation biology? What messages or guidelines from genetics can we reliably provide to those that work with conservation in practice? Is empirical work on numerous threatened habitats and taxa gathering population genetic information that we can use to test these guidelines? These and other questions were raised in the invitation to a symposium on conservation genetics held in May 1993 in pleasant surroundings at an old manor house in southern Jutland, Denmark."

This volume is an outcomeof invited lecturesdelivered at the Ring Theory Section of the 23rd Ohio State-DenisonConferencein May 1996. It also contains articles by some invited mathematicianswho could not attend the conference. These peer-refereedarticles showcasethe latest developmentsand trends in classicalRing Theory, highlighting the cro- fertilization of new techniquesand ideaswith the existing ones. Providing a wide variety of methodologies,this volume should be valuable both to graduatestudentsas well as to specialistsin Ring Theory. We would like to thank our colleagueswho investeda lot of their time to make the conferencea great success. In particular, our thanks go to ProfessorsTom Dowling, Dan Sanders,SurinderSehgal,Ron Solomonand Sergio R. L6pez-Permouthfor their help. The financial support for the Conference,provided by the Departmentof Mathematics,The Ohio State University, and MathematicsResearchInstitute, Columbus, is gratefully acknowleged. Many thanksgo to Dean Violet I. Meek for her commitment to the promotion of researchby her continuousencouragement of such efforts and for providing financial support from the Lima campusof The Ohio StateUniversity. We havereceivedimmensecooperationfrom all the refereeswho, meticulouslyand in a very short time, provided us with their reports in spite of their busy schedules. We expressour sincerethanks to all of them. Finally, we thank Ms. Cindy White for her excellent job in typing parts of this volume. We are pleasedto dedicatethis volume to ProfessorBruno J. Miiller on the occasionof his retirementfor his many contributionsto the Theory of Rings and Modules. As this volume was going to presswe have learned that ProfessorCarl Faith is retiring this year.

Fascinated by the diversity of living organisms, humans have always been curious about its origin. Darwin was the first to provide the scholary and persuasive thesis for gradual evolution and speciation under natural selection. Although we now have much information on evolution, we still don't understand it in detail. Many questions still remain open due to the complexity and multiplicity of interacting factors. Several approaches mainly arising from population ecology and genetics are presented in this book in order to help understand genetic variation and evolution.

This is a self-contained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the Wedderburn-Artin theorem for semisimple artinian rings, Noether-Lasker theorem, the Smith-Normal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Noether-Lasker theorem. In addition, there are over 150 new problems and examples.

An increasing variety of biological problems involving resource management, conservation and environmental quality have been dealt with using the principles of population biology (defined to include population dynamics, genetics and certain aspects of community ecology). There appears to be a mixed record of successes and failures and almost no critical synthesis or reviews that have attempted to discuss the reasons and ways in which population biology, with its remarkable theoretical as well as experimental advances, could find more useful application in agriculture, forestry, fishery, medicine and resource and environmental management. This book provides examples of state-of-the-art applications by a distinguished group of researchers in several fields. The diversity of topics richly illustrates the scientific and economic breadth of their discussions as well as epistemological and comparative analyses by the authors and editors. Several principles and common themes are emphasized and both strengths and potential sources of uncertainty in applications are discussed. This volume will hopefully stimulate new interdisciplinary avenues of problem-solving research.

Rye first appeared rather late in the history of human civilization. The oldest archaeological records of rye date from the Hallstatt period in Silesia, Thuringia and Westfalia and from the Lacene period. After the pioneering work of N. 1. V AVILOV on the origin of cultivated plants three broad classes came in recognition: wild, weedy and cultivated rye. As a crop, rye is most winterhardy of all cereals so that in Northern Europe its cultivation reaches beyond the Arctic circle in Finland. While Soviet Russia contributes most to the total world production, in Finland, Poland, Germany, Sweden, Netherlands and Belgium also its rank is high among grain crops. It is striking to note that for the past many years, research on practical agronomical and breeding problems has been quite active in these countries and current ly attempts to improve rye are being made on modern lines. Some of the main problems in this field concern with the development of hybrid varieties, improvement of autotetraploid fertility, use of best pollina tion procedures to obtain highly self-fertile lines and the transfer of rye characters to wheat as such or in the form of amphiploid Triticales. In Russia, however, the Michurinist agrobiologists are primarily engaged in the study of interspecific conversions, branched ear types and nutritional methods of improving varieties, and perhaps this is one reason of only little having been known about rye genetics.

or fruit production as a consequence of the lack of optimum pollination conditions (CLARK and FRYER, 1920; ARMSTRONG and WHITE, 1935; VALLEAU, 1918; KVAALE, 1927; and many others). In order to mini mize the influence of poor pollen producers, systematic planning of a field planting or an orchard might be necessary. Above all, the im portant reason for its wide popularity is its potential use in the com mercial production of hybrid seed. A male-sterile plant is an effective female for a crossing program and its employment renders the labori ous procedure of emasculation superfluous. ]ONES and EMSWELLER (1937) and STEPHENS (1937) were probably the first to outline a scheme of its application in onion and sorghum respectively. However certain specific problems have limited the practicability and hence some of them will be mentioned in a later seetion (Section VIII). Lately several attempts have been made to obtain some chemie al method for the artificial induction of male sterility. However, for a successful approach to the induction problem a thorough understan ding of various pathways that bring about pollen abortion in naturally occurring cases, would be of great value. It may be hoped that data from these induction experiments alongwith the available biochemi cal analyses would lead to the emergence and elucidation of useful information of both theoretical and practical interest.

This is a self-contained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the Wedderburn-Artin theorem for semisimple artinian rings, Noether-Lasker theorem, the Smith-Normal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Noether-Lasker theorem. In addition, there are over 150 new problems and examples.

This book discusses the revolution of cycles and rhythms that is expected to take place in different branches of science and engineering in the 21st century, with a focus on communication and information processing. It presents high-quality papers in vibration sciences, rhythms and oscillations, neurosciences, mathematical sciences, and communication. It includes major topics in engineering and structural mechanics, computer sciences, biophysics and biomathematics, as well as other related fields. Offering valuable insights, it also inspires researchers to work in these fields. The papers included in this book were presented at the 1st International Conference on Engineering Vibration, Communication and Information Processing (ICoEVCI-2018), India.

Supercapacitors are electrochemical energy storage devices that are capable of providing high power density and remarkable energy. These features make it an attractive device for different energy storage applications such as: electrical vehicles, back-up power systems, electronic components etc. They can complement or replace batteries in electrical energy storage and harvesting applications, when high power delivery or uptake is needed. Depending upon the charge storage mechanism as well as active material used, there exists different class of supercapacitors. First one is the electrochemical double layer capacitors which are the most common type of supercapacitors that uses carbon or its derivative with high surface area as active electrode materials. Second group of capacitors known as pseudocapacitors or redox supercapacitors, which uses either noble transition metal oxides like RuOx, CoOx, NiOx etc. or electron conducting polymers like polypyrrole, polyaniline, polythiophene etc. were used as electrode materials. Third one is new and emerging class of electrochemical capacitors called as Hybrid capacitors which is a combination of capacitive or pseudocapacitive electrode with

Goat, commonly known as the "poor man's cow," is widely distributed and usually associated with poor people. Economic contribution of goat is extremely important for the security and livelihood of poor people throughout the developing countries. The Jamunapari breed bas been extensively utilized to upgrade indigenous breeds for milk and meat purpose, and bas been exported to neighboring countries for the same purposes. This work exploit to answer the problem of tracking the oestrus cycle in Jamunapari goat by analyzing different methods for tracking of the oestrus cycle and develop the simple, economical and easy method to perform under field conditions with a high accuracy with minimum intervention.

Isabgol or Blond Psyllium (Plantago ovata Forsk.) is a winter season medicinal plant. It belongs to family Plantaginaceae and genus Plantago.In recent years, demand of isabgol has increased in the western countries and it is traded in major medicinal drug market of the world. The productivity of Isabgol is very low. The limited existing genetic variability is the major bottleneck for the improvement of the crop and because of small size and closely borne florets, artificial hybridization is difficult for inducing the variability. So the present investigation was carried out to estimate the induced variability, efficiency and effectiveness of physical mutagen and to isolate desirable mutants in M2 and M3 generation of Isabgol. Variety R1-89 of isabgol was treated with 9 doses of gamma rays (15 kR - 135 kR with an interval of 15 kR) and studied the M1, M2 and M3 generations for mutagenic variability and efficient and effective dose of gamma rays.

The biological branches botany and plant breeding have been growing rapidly which have influenced the thinking of plant breeder and botanist. It is hard work to make a good compilation to cover the knowledge of botany and plant breeding in a single plate form in a simple mode. I am trying to compile it. The present compilation is mainly for UG and PG students of plant breeding and agriculture botany. Under the present compilation, i am including the introduction and history of plant breeding, and general principle and methods of plant breeding in a simple language. Tables and photographs have been used where necessary to make the task clear.In addition to plant breeding also include the introductory botany.Here i am including the plants structure and their different parts in detail. Also include the mode of reproduction and pollination, fertilization, embryo formation, seed development and taxonomy of the plants. I am sure that it will be helpful for increase the knowledge of students of agricultural botany and plant breeding. I would like to record my gratitude for my wife and family for support.

Nanotechnology will serve as multifunctional tools that will not only be used with any number of diagnostic and therapeutic agents, but will change the very foundations of cancer diagnosis, treatment, and prevention. Cancer is a genetically rooted disease that involves the simultaneous occurrence of two general categories of cellular malfunctions. Ligand-mediated targeting of anticancer therapeutics is being explored utilizing he potential of Nanotechnology. The basic principle underlies ligand-targeted therapeutics is that the delivery of antineoplastic drugs to cancer cells- or cancer-associated tissues such as tumor vasculature can be selectively increased by associating the drugs with molecules that bind to antigens or receptors that are either uniquely expressed or over-expressed on the target cells relative to normal tissues. This allows specific delivery of drugs bound with nanoparticles to the cancer cells. This concept is utilized in the study presented in this book. Con-A, a plant lectin is employed here as a ligand which guides the SLN's bearing anticancer drug to the target tumor vasculature. The study summarizes the effective potential of SLN's in suppressing tumor.

Nature is beautiful. Nature is endured with various plants, which are of tremendous help to human being. In the past, almost all the medicines used were from the plants, the plant being man's only chemist from ages.Historically, the majority of the natural product-based drugs were first discovered by traditional cell-based in vitro assays before their real molecular biological targets were identified. Thus most traditional cell-based in vitro assays can be viewed as detection methods of the fundamental and unique phenomena of living organisms. Large number of medicinal plants has been advocated in folklore medicines, for treating various disease and disorder. Two of such plants are Dolichos biflorus Linn. and Asparagus racemosus Willd. local communities for the treatment of different diseases are using the different parts of these plants for human being. Hence in current studies the plants has been selected for there pharmacological & phytochemical study. The detailed study of Dolichos biflorus Linn. and Asparagus racemosus Willd. is included in this book and various important finding of the plants are included in this research book.

Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied. This ""Contemporary Mathematics"" series volume communicates the potential for collaboration among those interested in exploring the wealth of applications for abstract algebra in fields such as information and coding. The expository papers would serve well as supplemental reading in graduate seminars.

Kasch Modules.- Compactness in Categories and Interpretations.- A Ring of Morita Context in Which Each Right Ideal is Weakly Self-injective.- Splitting Theorems and a Problem of Muller.- Decompositions of D1 Modules.- Right Cones in Groups.- On Extensions of Regular Rings of Finite Index by Central Elements.- Intersections of Modules.- Minimal Cogenerators Over Osofsky and Camillo Rings.- Uniform Modules Over Goldie Prime Serial Rings.- Co-Versus Contravariant Finiteness of Categories of Representations.- Monomials and the Lexicographic Order.- Rings Over Which Direct Sums of CS Modules Are CS.- Exchange Properties and the Total.- Local Bijective Gabriel Correspondence and Torsion Theoretic FBN Rings.- Normalizing Extensions and the Second Layer Condition.- Generators of Subgroups of Finite Index in GLm (?G).- Weak Relative Injective M-Subgenerated Modules.- Direct Product and Power Series Formations Over 2-Primal Rings.- Localization in Noetherian Rings.- Projective Dimension of Ideals in Von Neumann Regular Rings.- Homological Properties of Color Lie Superalgebras.- Indecomposable Modules Over Artinian Right Serial Rings.- Nonsingular Extending Modules.- Right Hereditary, Right Perfect Rings Are Semiprimary.- On the Endomorphism Ring of a Discrete Module: A Theorem of F. Kasch.- Nonsingular Rings with Finite Type Dimension.