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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| Дата: | 2019 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188428 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188428 |
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irk-123456789-1884282023-03-01T01:27:05Z Representations of ordered doppelsemigroups by binary relations Zhuchok, Y.V. Koppitz, J. 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. 2019 Article 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. 1726-3255 2010 MSC: 17A30, 06F05, 43A65. http://dspace.nbuv.gov.ua/handle/123456789/188428 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Zhuchok, Y.V. Koppitz, J. |
| spellingShingle |
Zhuchok, Y.V. Koppitz, J. Representations of ordered doppelsemigroups by binary relations Algebra and Discrete Mathematics |
| author_facet |
Zhuchok, Y.V. Koppitz, J. |
| author_sort |
Zhuchok, Y.V. |
| title |
Representations of ordered doppelsemigroups by binary relations |
| title_short |
Representations of ordered doppelsemigroups by binary relations |
| title_full |
Representations of ordered doppelsemigroups by binary relations |
| title_fullStr |
Representations of ordered doppelsemigroups by binary relations |
| title_full_unstemmed |
Representations of ordered doppelsemigroups by binary relations |
| title_sort |
representations of ordered doppelsemigroups by binary relations |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188428 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT zhuchokyv representationsofordereddoppelsemigroupsbybinaryrelations AT koppitzj representationsofordereddoppelsemigroupsbybinaryrelations |
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2023-10-18T23:08:20Z |
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2023-10-18T23:08:20Z |
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