On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range
- Let X be an infinite linearly ordered set and let Y be a nonempty subset of X. We calculate the relative rank of the semigroup OP(X,Y) of all orientation-preserving transformations on X with restricted range Y modulo the semigroup O(X,Y) of all order-preserving transformations on X with restricted range Y. For Y = X, we characterize the relative generating sets of minimal size.
| Author details: | Ilinka DimitrovaORCiDGND, Jörg KoppitzORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1080/00927872.2021.2000998 |
| ISSN: | 0092-7872 |
| ISSN: | 1532-4125 |
| Title of parent work (English): | Communications in algebra |
| Publisher: | Taylor & Francis Group |
| Place of publishing: | Philadelphia |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2022/01/22 |
| Publication year: | 2022 |
| Release date: | 2024/01/25 |
| Tag: | Order-preserving transformations; orientation-preserving; relative rank; restricted range; semigroups on infinite chain; transformation; transformations |
| Volume: | 50 |
| Issue: | 5 |
| Number of pages: | 12 |
| First page: | 2157 |
| Last Page: | 2168 |
| Funding institution: | DAADDeutscher Akademischer Austausch Dienst (DAAD)European Commission [57442043] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
