The Theory of Partial Algebraic Operations / Edition 1

The Theory of Partial Algebraic Operations / Edition 1

by E.S. Ljapin, A.E. Evseev
     
 

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ISBN-10: 0792346092

ISBN-13: 9780792346098

Pub. Date: 06/30/1997

Publisher: Springer Netherlands

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

Overview

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.

Product Details

ISBN-13:
9780792346098
Publisher:
Springer Netherlands
Publication date:
06/30/1997
Series:
Mathematics and Its Applications (closed) Series, #414
Edition description:
1997
Pages:
238
Product dimensions:
6.10(w) x 9.25(h) x 0.02(d)

Related Subjects

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.

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