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polygroup theory and related system bijaan davvaz [pdf]

Polygroup Theory and Related System by Bijaan Davvaz

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About this book :-
Polygroup Theory and Related System written by Bijaan Davvaz
The presented book is composed by five chapters. The first chapter contains a fairly detailed discussion of the basic ideas underlying the theory of groups. The second chapter is about hypergroups, their history and some basic results on some important classes of hypergroups such as complete hypergroups, join spaces and canonical hypergroups. The following chapters are about polygroups. In third chapter, the concept of polygroups and some examples are presented. Then, fundamental relations defined on polygroups, isomorphism theorems, permutation polygroups, polygroup hyperrings, solvable polygroups and nilpotent polygroups are studied. The fourth chapter deal with the concepts of weak algebraic hyperstructures; and the notions of Hv-groups (weak hypergroups) and weak polygroups are studied. In the last chapter, we present some combinatorial aspects of polygroups such as chromatic polygroups.

Book Detail :-
Title: Polygroup Theory and Related System
Edition:
Author(s): Bijaan Davvaz
Publisher: World Scientific Publishing Company
Series:
Year: 2012
Pages: 210
Type: PDF
Language: English
ISBN: 9814425303,9789814425308
Country: Iran
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Book Contents :-
Polygroup Theory and Related System written by Bijaan Davvaz cover the following topics.
1. A Brief Excursion into Group Theory
2. Hypergroups
3. Polygroups
4. Weak Polygroups
5. Combinatorial Aspects of Polygroups
Bibliography
Index


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