Near Rings, Fuzzy Ideals, and Graph Theory

Bhavanari Satyanarayana, Kuncham Syam Prasad

Research output: Book/ReportBook

26 Citations (Scopus)

Abstract

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.

Original languageEnglish
PublisherCRC Press/Balkema
Number of pages458
ISBN (Electronic)9781439873113
ISBN (Print)9780367380045
DOIs
Publication statusPublished - 21-05-2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Near Rings, Fuzzy Ideals, and Graph Theory'. Together they form a unique fingerprint.

Cite this