The Theory of Partial Algebraic Operations / Edition 1

The Theory of Partial Algebraic Operations / Edition 1

by E.S. Ljapin, A.E. Evseev
     
 

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 pargoids, i.e. systems 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…  See more details below

Overview

The main aim of this book is to present a systematic theory of partial groupoids, the so-called pargoids, i.e. systems 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. 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
0Basic Terminology1
1Initial Concepts and Properties5
2Homomorphisms29
3Divisibility Relations69
4Intermediate Associativity89
5Semigroup Extensions of Partial Operations103
6Partial Groupoids of Transformations143
7Factorisation of Partial Groupoids175
Bibliography215
Index233

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