Overview

In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.

Full Product Details

Author:   A. Nagy
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
Volume:   1
Dimensions:   Width: 17.00cm , Height: 1.40cm , Length: 24.40cm
Weight:   0.552kg
ISBN:  

9781441948533

ISBN 10:   1441948538
Pages:   269
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preliminaries.- Putcha semigroups.- Commutative semigroups.- Weakly commutative semigroups.- ?-, ?-, ?-commutative semigroups.- Conditionally commutative semigroups.- ?C-commutative semigroups.- Quasi commutative semigroups.- Medial semigroups.- Right commutative semigroups.- Externally commutative semigroups.- E-m semigroups, exponential semigroups.- WE-m semigroups.- Weakly exponential semigroups.- (m, n)-commutative semigroups.- n (2)-permutable semigroups.

Reviews

"From the reviews of the first edition: `This book is a valuable contribution to the ever-growing collection of semi group monographs. It contains a wealth of material disseminated in many papers published over the last 50-60 years as well as new results.' Mathematical Reviews, 2002d ""‘Special Classes of Semigroups’ collects a substantial body of recent work, and a number of previously unpublished results of the author … . This is a fine book, well thought out, written clearly and carefully, with meticulous scholarship, and full of nice results which appear in no other book; altogether a worthwhile addition to your semigroup library."" (Pierre Antoine Grillet, Semigroup Forum, Vol. 70 (1), 2005)"

From the reviews of the first edition: 'This book is a valuable contribution to the ever-growing collection of semi group monographs. It contains a wealth of material disseminated in many papers published over the last 50-60 years as well as new results.'Mathematical Reviews, 2002d 'Special Classes of Semigroups' collects a substantial body of recent work, and a number of previously unpublished results of the author ! . This is a fine book, well thought out, written clearly and carefully, with meticulous scholarship, and full of nice results which appear in no other book; altogether a worthwhile addition to your semigroup library. (Pierre Antoine Grillet, Semigroup Forum, Vol. 70 (1), 2005)

From the reviews of the first edition: 'This book is a valuable contribution to the ever-growing collection of semi group monographs. It contains a wealth of material disseminated in many papers published over the last 50-60 years as well as new results.' Mathematical Reviews, 2002d 'Special Classes of Semigroups' collects a substantial body of recent work, and a number of previously unpublished results of the author ! . This is a fine book, well thought out, written clearly and carefully, with meticulous scholarship, and full of nice results which appear in no other book; altogether a worthwhile addition to your semigroup library. (Pierre Antoine Grillet, Semigroup Forum, Vol. 70 (1), 2005)

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