Algebras of multiplace functions / Wieslaw A. Dudek, Valentin S. Trokhimenko.

Format:

Book

Author/Creator:

Dudek, Wieslaw A.

Contributor:

Trokhimenko, Valentin S.

Language:

English

Subjects (All):

Algebra.

Physical Description:

1 online resource (400 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : De Gruyter, c2012.

Language Note:

English

Summary:

This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also a useful source of information for graduate and PhD students who are starting their research in this area. The book is the first monograph in the English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras, and its generalizations and applications. The results presented here were originally published mostly in the Russian literature: In 2006, the first version of this book was edited in Russian and it is now presented in an extended version, where two new and very important chapters are added. The monograph is a broad survey of unknown or little-known Russian literature on algebras of multiplace functions and presents to the mathematical community a beautiful and strongly developing theory.

Contents:

Front matter

Preface

Contents

Chapter 1. Main concepts

Chapter 2. Menger algebras of functions

Chapter 3. Ordered Menger algebras

Chapter 4. Relations between functions

Chapter 5. (2, n)-semigroups of functions

Chapter 6. Systems of multiplace functions

Chapter 7. Open problems

Bibliography

Index of notations

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

9786613940711

9781283628266

1283628260

OCLC:

812066437