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Polygroup Theory and Related Systems

Davvaz Bijan
4.9/5 (30369 ratings)
Read Now Download Now ⏭ listen AudioBook
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.Contents: "A Brief Excursion into Group Theory: "IntroductionThe Abstract Definition of a Group and Some ExamplesSubgroupsNormal Subgroups and Quotient GroupsGroup HomomorphismsPermutation GroupsDirect ProductSolvable and Nilpotent Groups"Hypergroups: "Introduction and Historical Development of HypergroupsDefinitions and Examples of HypergroupsSome Kinds of SubhypergroupsHomomorphisms of HypergroupsRegular and Strongly Regular RelationsComplete HypergroupsJoin Spaces"Polygroups: "Definition and Examples of PolygroupsExtension of Polygroups by PolygroupsSubpolygroups and Quotient PolygroupsIsomorphism Theorems of Polygroups * Relation on PolygroupsGeneralized PermutationsPermutation PolygroupsRepresentation of PolygroupsPolygroup HyperringsSolvable PolygroupsNilpotent Polygroups"Weak Polygroups: "Weak HyperstructuresWeak Polygroups as a Generalization of PolygroupsFundamental Relations on Weak PolygroupsSmall Weak Polygroups"Combinatorial Aspects of Polygroups: "Chromatic PolygroupsPolygroups Derived from CogroupsConjugation LatticeReadership: Graduate students and researchers in algebraic hyperstructures and applications.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Polygroup Theory and Related Systems. To get started finding Polygroup Theory and Related Systems, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
209
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2013
ISBN
1283971550

Polygroup Theory and Related Systems

Davvaz Bijan
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
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.Contents: "A Brief Excursion into Group Theory: "IntroductionThe Abstract Definition of a Group and Some ExamplesSubgroupsNormal Subgroups and Quotient GroupsGroup HomomorphismsPermutation GroupsDirect ProductSolvable and Nilpotent Groups"Hypergroups: "Introduction and Historical Development of HypergroupsDefinitions and Examples of HypergroupsSome Kinds of SubhypergroupsHomomorphisms of HypergroupsRegular and Strongly Regular RelationsComplete HypergroupsJoin Spaces"Polygroups: "Definition and Examples of PolygroupsExtension of Polygroups by PolygroupsSubpolygroups and Quotient PolygroupsIsomorphism Theorems of Polygroups * Relation on PolygroupsGeneralized PermutationsPermutation PolygroupsRepresentation of PolygroupsPolygroup HyperringsSolvable PolygroupsNilpotent Polygroups"Weak Polygroups: "Weak HyperstructuresWeak Polygroups as a Generalization of PolygroupsFundamental Relations on Weak PolygroupsSmall Weak Polygroups"Combinatorial Aspects of Polygroups: "Chromatic PolygroupsPolygroups Derived from CogroupsConjugation LatticeReadership: Graduate students and researchers in algebraic hyperstructures and applications.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Polygroup Theory and Related Systems. To get started finding Polygroup Theory and Related Systems, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
209
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2013
ISBN
1283971550

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