Nagy Special Classes of Semigroups

2001
ISBN: 978-1-4757-3316-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1, 269 Seiten, eBook

Reihe: Advances in Mathematics

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-permutable semigroups.
Students and researchers working in algebra and computer science.

Zielgruppe

Research

Autoren/Hrsg.

Nagy, A.

Inhaltsverzeichnis

Preface. 1. Preliminaries. 2. Putcha semigroups. 3. Commutative semigroups. 4. Weakly commutative semigroups. 5. R-, L-, H-commutative semigroups. 6. Conditionally commutative semigroups. 7. RC-commutative semigroups. 8. Quasi commutative semigroups. 9. Medial semigroups. 10. Right commutative semigroups. 11. Externally commutative semigroups. 12. E-m semigroups, exponential semigroups. 13. WE-m semigroups. 14. Weakly exponential semigroups. 15. (m,n)-commutative semigroups. 16. n(2)-permutable semigroups. Bibliography. Index.