Interassociativity and three-element doppelsemigroups

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Фізико-технічні та математичні науки
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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2019, Vol. 27, Vol. 28
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Algebra and Discrete Mathematics, 2019, Vol. 28, № 2
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dc.contributor.author	Gavrylkiv, V.
dc.contributor.author	Rendziak, D.
dc.date.accessioned	2023-03-02T19:24:26Z
dc.date.available	2023-03-02T19:24:26Z
dc.date.issued	2019
dc.identifier.citation	Interassociativity and three-element doppelsemigroups / V. Gavrylkiv, D. Rendziak // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 224–247. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 08B20, 20M10, 20M50, 17A30.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188491
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors would like to express their sincere thanks to the anonymous referee for a very careful reading of the paper and for all its insightful comments and valuable suggestions, which improve considerably the presentation of this paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Interassociativity and three-element doppelsemigroups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA