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Representations of ordered doppelsemigroups by binary relations
Репозиторій DSpace/Manakin
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Representations of ordered doppelsemigroups by binary relations
Інший ID:
2010 MSC: 17A30, 06F05, 43A65.
Посилання:
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.
Підтримка:
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).
Дата:
2019
Переглядів:
231
Завантажень:
184
Анотація:
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.
