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Polygroup Theory and Related Systems

Bujan Davvaz
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

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