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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...

Over the past four decades, interest has been arisen in the study of modern algebraic systems like: Nearrings, Modules over Nearrings. The concept "Dimension" of a vector space, when generalized to modules becomes the concept "Goldie Dimension," introduced by Goldie. In this Monograph this concept was extended to N-groups and studied fundamental results. The Monograph also covers a vital study of several important concepts like Matrix Nearrings, IFP Ideal, Spanning Dimension, Direct systems. The concept of directed hypercube introduced and studied "graph of complement ideals of N-groups with...