Alam, Noor and Higgins, Peter M and Khan, Noor Mohammad (2020) Epimorphisms, dominions and H-commutative semigroups. Semigroup Forum, 100 (2). pp. 349-363. DOI https://doi.org/10.1007/s00233-019-10050-z
Alam, Noor and Higgins, Peter M and Khan, Noor Mohammad (2020) Epimorphisms, dominions and H-commutative semigroups. Semigroup Forum, 100 (2). pp. 349-363. DOI https://doi.org/10.1007/s00233-019-10050-z
Alam, Noor and Higgins, Peter M and Khan, Noor Mohammad (2020) Epimorphisms, dominions and H-commutative semigroups. Semigroup Forum, 100 (2). pp. 349-363. DOI https://doi.org/10.1007/s00233-019-10050-z
Abstract
In the present paper, a series of results and examples that explore the structural features of H-commutative semigroups are provided. We also generalise a result of Isbell from commutative semigroups to H-commutative semigroups by showing that the dominion of an H-commutative semigroup is H-commutative. We then use this to generalise Howie and Isbell's result that any H-commutative semigroup satisfying the minimum condition on principal ideals is saturated.
| Item Type: | Article |
|---|---|
| Additional Information: | 20 pages |
| Uncontrolled Keywords: | Semigroup; H-commutative semigroups; Epimorphism; Dominion; Saturated semigroups |
| 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: | 08 Aug 2019 12:03 |
| Last Modified: | 30 Oct 2024 16:23 |
| URI: | http://repository.essex.ac.uk/id/eprint/25124 |
Available files
Filename: 1908.01813v2.pdf