Interassociativity and three-element doppelsemigroups
In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism groups. We prove that there exist \(75\) pairwise non-isomorphic three-element doppelsemigroups among which \(41\) doppels...
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| Veröffentlicht in: | arXiv.org 2020-04 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism groups. We prove that there exist \(75\) pairwise non-isomorphic three-element doppelsemigroups among which \(41\) doppelsemigroups are commutative. Non-commutative doppelsemigroups are divided into \(17\) pairs of dual doppelsemigroups. Also up to isomorphism there are \(65\) strong doppelsemigroups of order \(3\), and all non-strong doppelsemigroups are not commutative. |
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| ISSN: | 2331-8422 |