On some anti-inverse transformation semigroups
- A semigroup S is called anti-inverse if for all a E S there is a b is an element of S such that aba = b and bab = a. Each anti-inverse semigroup is regular. In the present paper, we study anti-inverse subsemigroups within the semigroup T-n of all transformations on an n-element set (1 <= n is an element of N). In particular, we characterize all anti-inverse semigroups within the J-classes of T-n and illustrate our result by four examples.
| Author details: | Ilinka DimitrovaORCiDGND, Jörg KoppitzORCiDGND |
|---|---|
| URL: | http://www.proceedings.bas.bg/ |
| ISSN: | 1310-1331 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Dokladi na Balgarskata Akademija na Naukite = Comptes rendus de l'Académie Bulgare des Sciences. - ISSN 1310-1331. - 63 (2010), 6, S. 793 - 798 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
