Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4414
Title: | Representations of ordered doppelsemigroups by binary relations |
Authors: | Zhuchok, Yu .V. Koppitz, J. |
Keywords: | Doppelsemigroup ordered doppelsemigroup semigroup Binary relation representation |
Issue Date: | 2019 |
Series/Report no.: | Математичні науки; |
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 ofordered doppelsemigroups by binary transitive relations. |
Description: | Zhuchok Y.V. Representations of ordered doppelsemigroups by binary relations / Y .V. Zhuchok , J.Koppitz // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp.144- 154 |
URI: | http://hdl.handle.net/123456789/4414 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (27). - 2019 |
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