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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| Datum: | 2024 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2024
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| Online Zugang: | 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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Algebra and Discrete Mathematics| _version_ | 1856543032255447040 |
|---|---|
| author | Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. |
| author_facet | Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. |
| author_sort | Desiateryk, Oleksandra O. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2024-09-23T09:29:11Z |
| 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. |
| first_indexed | 2025-12-02T15:39:40Z |
| format | Article |
| id | admjournalluguniveduua-article-2222 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:39:40Z |
| publishDate | 2024 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | variant sandwich semigroup Brandt semigroup Rees matrix semigroup 20M10 20M17 20M18 Desiateryk, Oleksandra O. Ganyushkin, Olexandr G. Sandwich semigroups and Brandt semigroups |
| title | Sandwich semigroups and Brandt semigroups |
| title_full | Sandwich semigroups and Brandt semigroups |
| title_fullStr | Sandwich semigroups and Brandt semigroups |
| title_full_unstemmed | Sandwich semigroups and Brandt semigroups |
| title_short | Sandwich semigroups and Brandt semigroups |
| title_sort | sandwich semigroups and brandt semigroups |
| topic | variant sandwich semigroup Brandt semigroup Rees matrix semigroup 20M10 20M17 20M18 |
| topic_facet | variant sandwich semigroup Brandt semigroup Rees matrix semigroup 20M10 20M17 20M18 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2222 |
| work_keys_str_mv | AT desiaterykoleksandrao sandwichsemigroupsandbrandtsemigroups AT ganyushkinolexandrg sandwichsemigroupsandbrandtsemigroups |