Near Rings, Fuzzy Ideals, and Graph Theory

Bhavanari Satyanarayana

ISBN 10: 1439873100 / ISBN 13: 9781439873106

Published by Taylor & Francis Inc Mai 2013, 2013

About this Item

Neuware - This reference covers various topics pertaining to near rings with applications and interpretations to fuzzy algebra and graph theory. The authors present the basic notations, simple descriptions, and appropriate illustrations of near rings, fuzzy algebra, and graph theory. They also discuss fundamental decomposition theorems of near rings as well as interesting applications of ideals of near rings to graph theory. The text includes an abundant supply of equations, tables, figures, and photographs to clarify concepts and aid comprehension.

Seller Inventory # 9781439873106

Bibliographic Details

• Title: Near Rings, Fuzzy Ideals, and Graph Theory
• Publisher: Taylor & Francis Inc Mai 2013
• Publication Date: 2013
• Language: English
• ISBN 10: 1439873100
• ISBN 13: 9781439873106
• Binding: Buch
• Condition: Neu
• Dimensions: 236W x 163H x 30D millimeters 236 millimeters width by 163 millimeters height by 30 millimeters depth
• Weight: 846 grams

About this title

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.

About the Author

Satyanarayana, Bhavanari; Prasad, Kuncham Syam