Polygroup Theory and Related Systems

Publisher:

World Scientific

Publication Date:

2013

Number of Pages:

200

Format:

Hardcover

Price:

57.00

ISBN:

9789814425308

Category:

Monograph

We do not plan to review this book.

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
- Definitions 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
- γ_* Relation on Polygroups
- Generalized Permutations
- Permutation Polygroups
- Representation of Polygroups
- Polygroup Hyperrings
- 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