Overview

This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.

Full Product Details

Author:   P.A. Grillet
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
Volume:   2
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.694kg
ISBN:  

9781441948571

ISBN 10:   1441948570
Pages:   437
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

General structure theory.- I. Elementary properties.- II. Cancellative semigroups.- III. Semilattice decompositions.- IV. Subdirect decompositions.- V. Group coextensions.- VI. Finitely generated semigroups.- VII. Subcomplete semigroups.- VIII. Other results.- Congruences.- IX. Nilsemigroups.- X. Group-free semigroups.- XI. Subcomplete semigroups.- Cohomology.- XII. Commutative semigroup cohomology.- XIII. The overpath method.- XIV. Semigroups with zero cohomology.- References.- Author Index.- Notation.

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