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Representations of ordered doppelsemigroups by binary relations

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 particul...

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Bibliographic Details
Date:	2019
Main Authors:	Zhuchok, Yurii, Koppitz, Jörg
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2019
Subjects:	doppelsemigroup ordered doppelsemigroup semigroup binary relation representation 17A30 06F05 43A65
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1294
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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