Polygroup Theory And Related Systems

Bijan Davvaz (Yazd Univ, Iran)

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Hardback

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English

World Scientific Publishing Co Pte Ltd
02 October 2012

Algebra; Combinatorics & graph theory

This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.

By: Bijan Davvaz (Yazd Univ Iran)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Dimensions: Height: 229mm, Width: 155mm, Spine: 23mm
Weight: 522g
ISBN: 9789814425308
ISBN 10: 9814425303
Pages: 208
Publication Date: 02 October 2012
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

A Brief Excursion into Group Theory; Hypergroups: Definitions and Examples of Hypergroups; Some Kinds of Subhypergroups; Homomorphism of Hypergroups; Regular and Strongly Regular Relations; Complete Hypergroups; Join Spaces; Polygroups: Definition and Examples of Polygroups; Extensions of Polygroups by Polygroups; Subpolygroups and Quotient Polygroups; Isomorphism Theorem of Polygroups; γ* Relation on Polygroups; Generalized Permutation; Permutation Polygroups; Representation of Polygroups; Polygroup Hyperrings; Solvable Polygroups; Nilpotent Polygroups; Weak Polygroups: Weak Hyperstructures; Weak Polygroups; Fundamental Relation on Weak Polygroups; Small Weak Polygroups; Combinatorial Aspects of Polygroups: Chromatic Polygroups; Polygroups Derived from Cogroups; Conjugation Lattice.