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 doppelsemigroup...

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Published in:Algebra and Discrete Mathematics
Date:2019
Main Authors: Gavrylkiv, V., Rendziak, D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188491
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Interassociativity and three-element doppelsemigroups / V. Gavrylkiv, D. Rendziak // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 224–247. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine