Amalgamating inverse semigroups over ample semigroups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914830107017216 |
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| author | Sohail, Nasir |
| author_facet | Sohail, Nasir |
| contents | A semigroup amalgam (S; T1, T2) is known to be non-embeddable if T1 and T2 are both groups (completely regular semigroups, Clifford semigroups) but S is not such. We prove some non-embeddability conditions for semigroup amalgams (S; T1, T2) in which T1 and T2 are inverse semigroups but S is not such. We also introduce some sufficient conditions that make the inverse hulls of the copies of S in T1 and T2 isomorphic; making, in turn, the amalgam (S; T1, T2) weakly embeddable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05739 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Amalgamating inverse semigroups over ample semigroups Sohail, Nasir Group Theory 20M18, 20M15, 20M10 A semigroup amalgam (S; T1, T2) is known to be non-embeddable if T1 and T2 are both groups (completely regular semigroups, Clifford semigroups) but S is not such. We prove some non-embeddability conditions for semigroup amalgams (S; T1, T2) in which T1 and T2 are inverse semigroups but S is not such. We also introduce some sufficient conditions that make the inverse hulls of the copies of S in T1 and T2 isomorphic; making, in turn, the amalgam (S; T1, T2) weakly embeddable. |
| title | Amalgamating inverse semigroups over ample semigroups |
| topic | Group Theory 20M18, 20M15, 20M10 |
| url | https://arxiv.org/abs/2406.05739 |