Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917355109482496 |
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| author | Sohail, Nasir Shah, Aftab Hussain Väljako, Kristo |
| author_facet | Sohail, Nasir Shah, Aftab Hussain Väljako, Kristo |
| contents | The problem of embedding an ample semigroup in an inverse semigroup as a (2, 1, 1)-type subalgebra is known to be undecidable. In this article, we investigate the problem for certain classes of ample semigroups. We also give examples of semigroups that are left (respectively, right) but not right (respectively, left) ample. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01949 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups Sohail, Nasir Shah, Aftab Hussain Väljako, Kristo Group Theory 20M18, 20M10, 20M15 The problem of embedding an ample semigroup in an inverse semigroup as a (2, 1, 1)-type subalgebra is known to be undecidable. In this article, we investigate the problem for certain classes of ample semigroups. We also give examples of semigroups that are left (respectively, right) but not right (respectively, left) ample. |
| title | Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups |
| topic | Group Theory 20M18, 20M10, 20M15 |
| url | https://arxiv.org/abs/2508.01949 |