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This volume consists of a collection of invited papers on the
theory of rings and modules, most of which were presented at the
biennial Ohio State - Denison Conference, May 1992, in memory of
Hans Zassenhaus. The topics of these papers represent many modern
trends in Ring Theory. The wide variety of methodologies and
techniques demonstrated will be valuable in particular to young
researchers in the area. Covering a broad range, this book should
appeal to a wide spectrum of researchers in algebra and number
theory.
This book discusses recent developments and the latest research in
algebra and related topics. The book allows aspiring researchers to
update their understanding of prime rings, generalized derivations,
generalized semiderivations, regular semigroups, completely simple
semigroups, module hulls, injective hulls, Baer modules, extending
modules, local cohomology modules, orthogonal lattices, Banach
algebras, multilinear polynomials, fuzzy ideals, Laurent power
series, and Hilbert functions. All the contributing authors are
leading international academicians and researchers in their
respective fields. Most of the papers were presented at the
international conference on Algebra and its Applications
(ICAA-2014), held at Aligarh Muslim University, India, from
December 15-17, 2014. The book also includes papers from
mathematicians who couldn't attend the conference. The conference
has emerged as a powerful forum offering researchers a venue to
meet and discuss advances in algebra and its applications,
inspiring further research directions.
This book discusses recent developments and the latest research in
algebra and related topics. The book allows aspiring researchers to
update their understanding of prime rings, generalized derivations,
generalized semiderivations, regular semigroups, completely simple
semigroups, module hulls, injective hulls, Baer modules, extending
modules, local cohomology modules, orthogonal lattices, Banach
algebras, multilinear polynomials, fuzzy ideals, Laurent power
series, and Hilbert functions. All the contributing authors are
leading international academicians and researchers in their
respective fields. Most of the papers were presented at the
international conference on Algebra and its Applications
(ICAA-2014), held at Aligarh Muslim University, India, from
December 15-17, 2014. The book also includes papers from
mathematicians who couldn't attend the conference. The conference
has emerged as a powerful forum offering researchers a venue to
meet and discuss advances in algebra and its applications,
inspiring further research directions.
This volume showcases mostly the contributions presented at the
International Conference in Algebra and Its Applications held at
the Aligarh Muslim University, Aligarh, India during November
12-14, 2016. Refereed by renowned experts in the field, this
wide-ranging collection of works presents the state of the art in
the field of algebra and its applications covering topics such as
derivations in rings, category theory, Baer module theory, coding
theory, graph theory, semi-group theory, HNP rings, Leavitt path
algebras, generalized matrix algebras, Nakayama conjecture, near
ring theory and lattice theory. All of the contributing authors are
leading international academicians and researchers in their
respective fields. Contents On Structure of -Prime Rings with
Generalized Derivation A characterization of additive mappings in
rings with involution| Skew constacyclic codes over Fq + vFq + v2Fq
Generalized total graphs of commutative rings: A survey
Differential conditions for which near-rings are commutative rings
Generalized Skew Derivations satisfying the second Posner's theorem
on Lie ideals Generalized Skew-Derivations on Lie Ideals in Prime
Rings On generalized derivations and commutativity of prime rings
with involution On (n, d)-Krull property in amalgamated algebra
Pure ideals in ordered -semigroups Projective ideals of
differential polynomial rings over HNP rings Additive central
m-power skew-commuting maps on semiprime rings A Note on
CESS-Lattices Properties Inherited by Direct Sums of Copies of a
Module Modules witnessing that a Leavitt path algebra is directly
infinite Inductive Groupoids and Normal Categories of Regular
Semigroups Actions of generalized derivations in Rings and Banach
Algebras Proper Categories and Their Duals On Nakayama Conjecture
and related conjectures-Review On construction of global actions
for partial actions On 2-absorbing and Weakly 2-absorbing Ideals in
Product Lattices Separability in algebra and category theory
Annihilators of power values of generalized skew derivations on Lie
ideals Generalized derivations on prime rings with involution
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.
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