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This book gives an overview of research on graphs associated with
commutative rings. The study of the connections between algebraic
structures and certain graphs, especially finite groups and their
Cayley graphs, is a classical subject which has attracted a lot of
interest. More recently, attention has focused on graphs
constructed from commutative rings, a field of study which has
generated an extensive amount of research over the last three
decades. The aim of this text is to consolidate this large body of
work into a single volume, with the intention of encouraging
interdisciplinary research between algebraists and graph theorists,
using the tools of one subject to solve the problems of the other.
The topics covered include the graphical and topological properties
of zero-divisor graphs, total graphs and their transformations, and
other graphs associated with rings. The book will be of interest to
researchers in commutative algebra and graph theory and anyone
interested in learning about the connections between these two
subjects.
This book gives an overview of research on graphs associated with
commutative rings. The study of the connections between algebraic
structures and certain graphs, especially finite groups and their
Cayley graphs, is a classical subject which has attracted a lot of
interest. More recently, attention has focused on graphs
constructed from commutative rings, a field of study which has
generated an extensive amount of research over the last three
decades. The aim of this text is to consolidate this large body of
work into a single volume, with the intention of encouraging
interdisciplinary research between algebraists and graph theorists,
using the tools of one subject to solve the problems of the other.
The topics covered include the graphical and topological properties
of zero-divisor graphs, total graphs and their transformations, and
other graphs associated with rings. The book will be of interest to
researchers in commutative algebra and graph theory and anyone
interested in learning about the connections between these two
subjects.
This tenth anniversary publication of the Berglund Center is
dedicated to two groups; first, to the many authors who have
contributed to Interface over the decade that we have published. We
have been fortunate that so many have contributed selflessly to
Interface, often on short notice and always with minimal
compensation. They have done so because they believed in the
importance of the Internet as a communications channel, and have
desired to help build Interface as a source for analysis, and as a
tool for expressing their own voices.
This classroom-tested textbook is an introduction to probability
theory, with the right balance between mathematical precision,
probabilistic intuition, and concrete applications. Introduction to
Probability covers the material precisely, while avoiding excessive
technical details. After introducing the basic vocabulary of
randomness, including events, probabilities, and random variables,
the text offers the reader a first glimpse of the major theorems of
the subject: the law of large numbers and the central limit
theorem. The important probability distributions are introduced
organically as they arise from applications. The discrete and
continuous sides of probability are treated together to emphasize
their similarities. Intended for students with a calculus
background, the text teaches not only the nuts and bolts of
probability theory and how to solve specific problems, but also why
the methods of solution work.
A booklet designed to leade elders and members to a deeper
understanding of the sacraments. This thoughtful booklet helps,
guides and explains. A valuable resource for all elders. The Elder
and the Sacraments discusses: The meaning of the Sacraments, The
meaning of Baptism, The Elder's responsibilities regarding Baptism,
The Lord's Supper. "It is certainly necessary for elders, as
spiritual leaders of the congregation, to be quite clear in their
own minds about the true meaning of the sacraments, if they are to
help to lead the members into a deeper Christian experience."
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