Interassociativity and three-element doppelsemigroups

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
Hauptverfasser: Gavrylkiv, Volodymyr, Rendziak, Diana
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Automorphisms
Isomorphism
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description 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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title Interassociativity and three-element doppelsemigroups
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