East, James and Higgins, Peter M (2020) Green's relations and stability for subsemigroups. Semigroup Forum, 101 (1). pp. 77-86. DOI https://doi.org/10.1007/s00233-019-10039-8
East, James and Higgins, Peter M (2020) Green's relations and stability for subsemigroups. Semigroup Forum, 101 (1). pp. 77-86. DOI https://doi.org/10.1007/s00233-019-10039-8
East, James and Higgins, Peter M (2020) Green's relations and stability for subsemigroups. Semigroup Forum, 101 (1). pp. 77-86. DOI https://doi.org/10.1007/s00233-019-10039-8
Abstract
We prove new results on inheritance of Green's relations by subsemigroups in the presence of stability of elements. We provide counterexamples in other cases to show in particular that not all right-stable semigroups are embeddable in left-stable semigroups. This is carried out in the context of a survey of the various closely related notions of stability and minimality of Green's classes that have appeared in the literature over the last sixty years, and which have sometimes been presented in different forms.
| Item Type: | Article |
|---|---|
| Additional Information: | V2: 8 pages, referee suggestions incorporated, to appear in Semigroup Forum. V1: 6 pages |
| Uncontrolled Keywords: | Green’s relations; Stability; Regularity; Subsemigroups |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 11 Jul 2019 11:47 |
| Last Modified: | 30 Oct 2024 16:29 |
| URI: | http://repository.essex.ac.uk/id/eprint/24968 |
Available files
Filename: 1906.02313v2.pdf