The Theory of Partial Algebraic Operations by E.S. LjapinThe Theory of Partial Algebraic Operations by E.S. Ljapin

The Theory of Partial Algebraic Operations

byE.S. Ljapin, A.E. Evseev

Paperback | December 4, 2010

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The main aim of this book is to present a systematic theory of partial groupoids, the so-called `paragoids', i.e. with a single partial binary operation, giving the foundations of this theory, the main problems, and its most important results with full proofs. Attention is paid to specific features of the theory of partial groupoids. This theory is distinct from the theory of total operations (groups, semi-groups etc.) and the theory of transformations, but they are connected, and their relations are also studied. Audience: This volume will be of interest to researchers of general algebraic systems, group theory, functional analysis and information theory.
Title:The Theory of Partial Algebraic OperationsFormat:PaperbackDimensions:248 pagesPublished:December 4, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148677

ISBN - 13:9789048148677

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Table of Contents

Preface. Translator's Preface. 0. Basic Terminology. 1. Initial Concepts and Properties. 2. Homomorphisms. 3. Divisibility Relations. 4. Intermediate Associativity. 5. Semigroup Extensions of Partial Operations. 6. Partial Groupoids of Transformations. 7. Factorisation of Partial Groupoids. Bibliography. Index.