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POLYGROUP THEORY AND RELATED SYSTEMS
Langbeschreibung
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.
Inhaltsverzeichnis
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.
ISBN-13:
9789814425308
Veröffentl:
2012
Erscheinungsdatum:
28.09.2012
Seiten:
210
Autor:
Bijan Davvaz
Gewicht:
464 g
Format:
235x157x16 mm
Sprache:
Englisch