Sandwich semigroups and Brandt semigroups
In this paper we study a connection between variants of semigroups and Brandt semigroups. We find necessary conditions under which a variant of a semigroup is a Brandt semigroup. For variants of Rees matrix semigroups we studied a structure of a sandwich matrix. We proved that if semigroup does not...
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| Дата: | 2024 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2024
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2222 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-22222024-09-23T09:29:11Z Sandwich semigroups and Brandt semigroups Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. variant, sandwich semigroup, Brandt semigroup, Rees matrix semigroup 20M10, 20M17, 20M18 In this paper we study a connection between variants of semigroups and Brandt semigroups. We find necessary conditions under which a variant of a semigroup is a Brandt semigroup. For variants of Rees matrix semigroups we studied a structure of a sandwich matrix. We proved that if semigroup does not contain a bicyclic subsemigroup, then any variant of this semigroup is not a Brandt semigroup. Thus a variant of a finite semigroup is not a Brandt semigroup. Lugansk National Taras Shevchenko University 2024-09-23 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2222 10.12958/adm2222 Algebra and Discrete Mathematics; Vol 38, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2222/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2222/1156 Copyright (c) 2024 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2024-09-23T09:29:11Z |
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OJS |
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English |
| topic |
variant sandwich semigroup Brandt semigroup Rees matrix semigroup 20M10 20M17 20M18 |
| spellingShingle |
variant sandwich semigroup Brandt semigroup Rees matrix semigroup 20M10 20M17 20M18 Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. Sandwich semigroups and Brandt semigroups |
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variant sandwich semigroup Brandt semigroup Rees matrix semigroup 20M10 20M17 20M18 |
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Article |
| author |
Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. |
| author_facet |
Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. |
| author_sort |
Desiateryk, Oleksandra O. |
| title |
Sandwich semigroups and Brandt semigroups |
| title_short |
Sandwich semigroups and Brandt semigroups |
| title_full |
Sandwich semigroups and Brandt semigroups |
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Sandwich semigroups and Brandt semigroups |
| title_full_unstemmed |
Sandwich semigroups and Brandt semigroups |
| title_sort |
sandwich semigroups and brandt semigroups |
| description |
In this paper we study a connection between variants of semigroups and Brandt semigroups. We find necessary conditions under which a variant of a semigroup is a Brandt semigroup. For variants of Rees matrix semigroups we studied a structure of a sandwich matrix. We proved that if semigroup does not contain a bicyclic subsemigroup, then any variant of this semigroup is not a Brandt semigroup. Thus a variant of a finite semigroup is not a Brandt semigroup. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2222 |
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AT desiaterykoleksandrao sandwichsemigroupsandbrandtsemigroups AT ganyushkinolexandrg sandwichsemigroupsandbrandtsemigroups |
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2024-09-24T04:03:44Z |
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2024-09-24T04:03:44Z |
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