On the monoid of all partial order-preserving extensive transformations
- A partial transformation alpha on an n-element chain X-n is called order-preserving if x <= y implies x alpha <= y alpha for all x, y in the domain of alpha and it is called extensive if x <= x alpha for all x in the domain of alpha. The set of all partial order-preserving extensive transformations on X-n forms a semiband POEn. We determine the maximal subsemigroups as well as the maximal subsemibands of POEn.
| Author details: | Ilinka DimitrovaORCiDGND, Jörg KoppitzORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1080/00927872.2011.557813 |
| ISSN: | 0092-7872 |
| Title of parent work (English): | Communications in algebra |
| Publisher: | Taylor & Francis Group |
| Place of publishing: | Philadelphia |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2012 |
| Publication year: | 2012 |
| Release date: | 2017/03/26 |
| Tag: | Extensive transformation; Maximal subsemibands; Maximal subsemigroups; Rank; Transformation semigroup |
| Volume: | 40 |
| Issue: | 5 |
| Number of pages: | 6 |
| First page: | 1821 |
| Last Page: | 1826 |
| Funding institution: | SWU-Blagoevgrad [NID-N9/F-7]; DFG [GZ: KO 1546/3-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
