Graphs From Rings
DOWNLOAD eBooks
Download Graphs From Rings PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Graphs From Rings book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Graphs From Rings
DOWNLOAD eBooks
Author : David F. Anderson
language : en
Publisher: Springer Nature
Release Date : 2021-10-31
Graphs From Rings written by David F. Anderson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-31 with Mathematics categories.
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.
Graphs From Rings
DOWNLOAD eBooks
Author : David F. Anderson
language : en
Publisher:
Release Date : 2021
Graphs From Rings written by David F. Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
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.
Near Rings Fuzzy Ideals And Graph Theory
DOWNLOAD eBooks
Author : Bhavanari Satyanarayana
language : en
Publisher: CRC Press
Release Date : 2013-05-21
Near Rings Fuzzy Ideals And Graph Theory written by Bhavanari Satyanarayana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-21 with Computers categories.
Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the book presents the essentials of near rings theory, relevant examples, notations, and simple theorems. It then describes the prime ideal concept in near rings, takes a rigorous approach to the dimension theory of N-groups, gives some detailed proofs of matrix near rings, and discusses the gamma near ring, which is a generalization of both gamma rings and near rings. The authors also provide an introduction to fuzzy algebraic systems, particularly the fuzzy ideals of near rings and gamma near rings. The final chapter explains important concepts in graph theory, including directed hypercubes, dimension, prime graphs, and graphs with respect to ideals in near rings. Near ring theory has many applications in areas as diverse as digital computing, sequential mechanics, automata theory, graph theory, and combinatorics. Suitable for researchers and graduate students, this book provides readers with an understanding of near ring theory and its connection to fuzzy ideals and graph theory.
The Graphs Associated With Rings
DOWNLOAD eBooks
Author : Sumi T
language : en
Publisher: Eliva Press
Release Date : 2023-06-08
The Graphs Associated With Rings written by Sumi T and has been published by Eliva Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-08 with categories.
A ring is an abstract structure with a commutative addition, and a multiplication which may or may not be commutative. This distinction yields two quite different theories: the theory of respectively commutative or non-commutative rings. These notes are mainly concerned about commutative rings. Non-commutative rings have been an object of systematic study only quite recently, during the 20th century. Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points does not matter. Each object in a graph is called a node. The subject of graph theory had its beginnings in recreational math problems (see number game), but it has grown into a significant area of mathematical research, with applications in chemistry, operations research, social sciences, and computer science. The study of algebraic structures using the properties of graphs becomes an exciting research topic in the past twenty years, leading to many fascinating results and questions. There are many papers on assigning a graph to a group or a ring. Also, investigation of algebraic properties of groups or rings using the associated graph becomes an exciting topic. In 1999, the zero-divisor graph of a commutative ring Γ(R) was defined by David F. Anderson and Paul S. Livingston as the undirected graph with vertex set Z(R)∗, in which there is an arc from x to y if and only if xy = 0. Through this book, we illustrate some results about the Graphs associated with Rings.
Graphs Rings And Polyhedra
DOWNLOAD eBooks
Author : Isidoro Gitler
language : en
Publisher:
Release Date : 2011
Graphs Rings And Polyhedra written by Isidoro Gitler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Regular Odd Rings And Non Planar Graphs
DOWNLOAD eBooks
Author : Derek Allan Holton
language : en
Publisher:
Release Date : 1980
Regular Odd Rings And Non Planar Graphs written by Derek Allan Holton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Graph theory categories.
Neutrosophic Invertible Graphs Of Neutrosophic Rings
DOWNLOAD eBooks
Author : T. Chalapathi
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Invertible Graphs Of Neutrosophic Rings written by T. Chalapathi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
We begin by considering some properties of the self and mutual additive inverse elements of finite Neutrosophic rings. We then proceed to determine several properties of Neutrosophic invertible graphs and we obtain an interrelation between classical rings, Neutrosophic rings and their Neutrosophic invertible graphs.
Rings Of Cutsets In Graphs
DOWNLOAD eBooks
Author : Charles H. C. Little
language : en
Publisher:
Release Date : 1980
Rings Of Cutsets In Graphs written by Charles H. C. Little and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Rings (Algebra) categories.
Commutative Algebra
DOWNLOAD eBooks
Author : Marco Fontana
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-29
Commutative Algebra written by Marco Fontana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-29 with Mathematics categories.
Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
Isomorphisms Symmetry And Computations In Algebraic Graph Theory
DOWNLOAD eBooks
Author : Gareth A. Jones
language : en
Publisher: Springer Nature
Release Date : 2020-01-10
Isomorphisms Symmetry And Computations In Algebraic Graph Theory written by Gareth A. Jones and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-10 with Mathematics categories.
This book consists of a selection of peer-reviewed contributions to the Workshop on Algebraic Graph Theory that took place in Pilsen, Czech Republic in October 2016. Primarily intended for early career researchers, it presents eight self-contained articles on a selection of topics within algebraic combinatorics, ranging from association schemes to symmetries of graphs and isomorphism testing. Algebraic combinatorics is a compelling mathematical discipline based on the powerful interplay of algebraic and combinatorial methods. Algebraic interpretation of combinatorial structures (such as symmetry or regularity) has often led to enlightening discoveries and powerful results, while discrete and combinatorial structures have given rise to new algebraic structures that have found valuable applications. In addition to these original research contributions, the reader will find a survey linking numerous threads in algebraic combinatorics, and an extensive tutorial showcasing the universality of algebraic methods in the study of combinatorial structures.