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Semihypergroup Theory

Bijan Davvaz
Publisher: 
Academic Press
Publication Date: 
2016
Number of Pages: 
156
Format: 
Paperback
Price: 
149.90
ISBN: 
9780128098158
Category: 
Monograph
We do not plan to review this book.
  • Preface
  • Chapter 1: A Brief Excursion Into Semigroup Theory
    • Abstract
    • 1.1 Basic Definitions and Examples
    • 1.2 Divisibility of Elements
    • 1.3 Regular and Inverse Semigroups
    • 1.4 Subsemigroups, Ideals, Bi-Ideals, and Quasi-Ideals
    • 1.5 Homomorphisms
    • 1.6 Congruence Relations and Isomorphism Theorems
    • 1.7 Green’s Relations
    • 1.8 Free Semigroups
    • 1.9 Approximations in a Semigroup
    • 1.10 Ordered Semigroups
  • Chapter 2: Semihypergroups
    • Abstract
    • 2.1 History of Algebraic Hyperstructures
    • 2.2 Semihypergroup and Examples
    • 2.3 Regular Semihypergroups
    • 2.4 Subsemihypergroups and Hyperideals
    • 2.5 Quasi-Hyperideals
    • 2.6 Prime and Semiprime Hyperideals
    • 2.7 Semihypergroup Homomorphisms
    • 2.8 Regular and Strongly Regular Relations
    • 2.9 Simple Semihypergroups
    • 2.10 Cyclic Semihypergroups
  • Chapter 3: Ordered Semihypergroups
    • Abstract
    • 3.1 Basic Definitions and Examples
    • 3.2 Prime Hyperideals of the Cartesian Product of Two Ordered Semihypergroups
    • 3.3 Right Simple Ordered Semihypergroups
    • 3.4 Ordered Semigroups (Semihypergroups) Derived From Ordered Semihypergroups
  • Chapter 4: Fundamental Relations
    • Abstract
    • 4.1 The β Relation
    • 4.2 Complete Parts
    • 4.3 The Transitivity of the Relation β in Semihypergroups
    • 4.4 The α Relation
  • Chapter 5: Conclusion
  • Bibliography
  • Index
 

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