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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.
Table des matières
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.
Résumé
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.
Texte suppl.
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)
Commentaire
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)
