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 |
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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 |