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Books > Science & Mathematics > Mathematics > Algebra
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Near Rings, Fuzzy Ideals, and Graph Theory (Paperback)
Loot Price: R1,953
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Near Rings, Fuzzy Ideals, and Graph Theory (Paperback)
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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 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.
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