Polygroup Theory and Related Systems:

Name: Polygroup Theory and Related Systems:
Price: 39.92 USD
Availability: InStock
ISBN: 9789814425308

ISBN-10: 9814425303

ISBN-13: 9789814425308

Edition: 2012

Authors: Bijan Davvaz

List price: $44.00

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Description:

"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."--Publisher's website.

Book details

List price: $44.00
Copyright year: 2012
Publisher: World Scientific Pub Co Inc
Binding: Cloth Text
Pages: 200
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.188
Language: English



Preface



A Brief Excursion into Group Theory



Introduction



The abstract definition of a group and some examples



Subgroups



Normal subgroups and quotient groups



Group homomorphisms



Permutation groups



Direct product



Solvable and nilpotent groups



Hypergroups



Introduction and historical development of hypergroups



Definition and examples of hypergroups



Some kinds of subhypergroups



Homomorphisms of hypergroups



Regular and strongly regular relations



Complete hypergroups



Join spaces



Polygroups



Definition and examples of polygroups



Extension of polygroups by polygroups



Subpolygroups and quotient polygroups



Isomorphism theorems of polygroups



ï¿½&ast; relation on polygroups



Generalized permutations



Permutation polygroups



Representation of polygroups



Polygroup hyper rings



Solvable polygroups



Nilpotent polygroups



Weak Polygroups



Weak hyperstructures



Weak polygroups as a generalization of polygroups



Fundamental relations on weak polygroups



Small weak polygroups



Combinatorial Aspects of Polygroups



Chromatic polygroups



Polygroups derived from cogroups



Conjugation lattice


Bibliography


Index