Bhavanari, Satyanarayana and Kuncham, Syam Prasad
(2013)
*Near Rings, Fuzzy Ideals and Graph Theory.*
Chapman & Hall, 2013 Taylor & Francis Group (London, New York).
ISBN 13: 9781439873106

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## 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.

Item Type: | Book |
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Uncontrolled Keywords: | Groups, rings, nearrings, modules, ideals, prime ideals, matrix nearrings, Goldie dimension, gamma nearring, graph, hypercubes, ideal symmetry, fuzzy sets, fuzzy ideal. |

Subjects: | Engineering > MIT Manipal > Mathematics |

Depositing User: | MIT Library |

Date Deposited: | 01 Mar 2014 05:38 |

Last Modified: | 01 Mar 2014 05:38 |

URI: | http://eprints.manipal.edu/id/eprint/138975 |

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