Items related to Near Rings, Fuzzy Ideals, and Graph Theory

Near Rings, Fuzzy Ideals, and Graph Theory - Hardcover

Satyanarayana, Bhavanari; Prasad, Kuncham Syam

 
9781439873106: Near Rings, Fuzzy Ideals, and Graph Theory
Hardcover
ISBN 10: 1439873100 ISBN 13: 9781439873106
Publisher: Chapman and Hall/CRC, 2013

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Satyanarayana, Bhavanari; Prasad, Kuncham Syam

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
2013
Language
English
ISBN 10 
1439873100
ISBN 13 
9781439873106
Binding
Hardcover
Edition number
1
Number of pages
480