Epimorphisms and pseudovarieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915249860378624 |
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| author | Almeida, Jorge Shah, Aftab Hussain |
| author_facet | Almeida, Jorge Shah, Aftab Hussain |
| contents | For each of the following conditions, we characterize the pseudovarieties of semigroups V that satisfy it: (i) every epimorphism to a member of V is onto; (ii) every epimorphism to a finite semigroup with domain a member of V is onto; (iii) for every epimorphism from S to T with S in V and T finite, T is also a member of V. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Epimorphisms and pseudovarieties Almeida, Jorge Shah, Aftab Hussain Group Theory 20M07, 20M50 For each of the following conditions, we characterize the pseudovarieties of semigroups V that satisfy it: (i) every epimorphism to a member of V is onto; (ii) every epimorphism to a finite semigroup with domain a member of V is onto; (iii) for every epimorphism from S to T with S in V and T finite, T is also a member of V. |
| title | Epimorphisms and pseudovarieties |
| topic | Group Theory 20M07, 20M50 |
| url | https://arxiv.org/abs/2504.13311 |