Representations of ordered doppelsemigroups by binary relations

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Фізико-технічні та математичні науки
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Відділення математики
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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. 27, № 1
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dc.contributor.author	Zhuchok, Y.V.
dc.contributor.author	Koppitz, J.
dc.date.accessioned	2023-02-28T19:28:02Z
dc.date.available	2023-02-28T19:28:02Z
dc.date.issued	2019
dc.identifier.citation	Representations of ordered doppelsemigroups by binary relations / Y.V. Zhuchok, J. Koppitz // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 144–154. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 17A30, 06F05, 43A65.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188428
dc.description.abstract	We extend the study of doppelsemigroups and introduce the notion of an ordered doppelsemigroup. We construct the ordered doppelsemigroup of binary relations on an arbitrary set and prove that every ordered doppelsemigroup is isomorphic to some ordered doppelsemigroup of binary relations. In particular, we obtain an analogue of Cayley’s theorem for semigroups in the class of doppelsemigroups. We also describe the representations of ordered doppelsemigroups by binary transitive relations.	uk_UA
dc.description.sponsorship	The paper was written during the research stay of the first author at the Potsdam University in the frame of the Programme of German Academic Exchange Service (DAAD).	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	Representations of ordered doppelsemigroups by binary relations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA