REPRESENTATIONS OF ORDERED DIMONOIDS BY BINARY RELATIONS

Yuriy V. Zhuchok

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Source: Crossref

Published: Mar 1, 2014

DOI: 10.1142/s1793557114500065

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Source abstract

We introduce the notion of an ordered dimonoid and prove that every ordered dimonoid can be exactly represented as an ordered dimonoid of binary relations. Also we find sufficient conditions under which an ordered dimonoid is isomorphic to some ordered dimonoid of reflexive (or transitive) binary relations.

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