Special Classes of Semigroups

1. Front Matter

   Pages i-viii

   PDF

2. Preliminaries

   • Attila Nagy

   Pages 1-33

3. Putcha semigroups

   • Attila Nagy

   Pages 35-42

4. Commutative semigroups

   • Attila Nagy

   Pages 43-57

5. Weakly commutative semigroups

   • Attila Nagy

   Pages 59-68

6. ℛ-, ℒ-, ℋ-commutative semigroups

   • Attila Nagy

   Pages 69-75

7. Conditionally commutative semigroups

   • Attila Nagy

   Pages 77-91

8. ∛C-commutative semigroups

   • Attila Nagy

   Pages 93-107

9. Quasi commutative semigroups

   • Attila Nagy

   Pages 109-117

10. Medial semigroups

    • Attila Nagy

    Pages 119-135

11. Right commutative semigroups

    • Attila Nagy

    Pages 137-173

12. Externally commutative semigroups

    • Attila Nagy

    Pages 175-182

13. E-m semigroups, exponential semigroups

    • Attila Nagy

    Pages 183-197

14. WE-m semigroups

    • Attila Nagy

    Pages 199-213

15. Weakly exponential semigroups

    • Attila Nagy

    Pages 215-222

16. (m, n)-commutative semigroups

    • Attila Nagy

    Pages 223-246

17. n ₍₂₎-permutable semigroups

    • Attila Nagy

    Pages 247-258

18. Back Matter

    Pages 259-269

    PDF

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.

• DEX
• Group theory
• algebra
• boundary element method
• commutative property
• computer
• computer science
• review
• semigroup

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)

• Department of Algebra, Institute of Mathematics, Budapest University of Technology and Economics, Hungary

  Attila Nagy

Policies and ethics