On representation type of the semigroup $S^0_{32}$ over an arbitrary field
In this paper we study matrix representations of a semigroup that is the simplest amplification of the wild semigroup S_{32}=<a, b\,|\, a^3 = a, b^2 = b>, namely the semigroup S^0_{32}=<a, b\,|\, a^3 = a, b^2 = b, ab=0>. We prove that the semigroup S^0_{32} has finite representation type...
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| Format: | Article |
| Language: | English |
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State University “Uzhhorod National University”
2018-06-01
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| Series: | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| Online Access: | http://visnyk-math.uzhnu.edu.ua/article/view/157966 |
| _version_ | 1818728965050728448 |
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| author | О. В. Зубарук |
| author_facet | О. В. Зубарук |
| author_sort | О. В. Зубарук |
| collection | DOAJ |
| description | In this paper we study matrix representations of a semigroup that is the simplest amplification of the wild semigroup S_{32}=<a, b\,|\, a^3 = a, b^2 = b>, namely the semigroup S^0_{32}=<a, b\,|\, a^3 = a, b^2 = b, ab=0>. We prove that the semigroup S^0_{32} has finite representation type over an arbitrary field. |
| first_indexed | 2024-12-17T22:38:22Z |
| format | Article |
| id | doaj.art-33b24f34cb33464791aa77414abdaa1c |
| institution | Directory Open Access Journal |
| issn | 2616-7700 |
| language | English |
| last_indexed | 2024-12-17T22:38:22Z |
| publishDate | 2018-06-01 |
| publisher | State University “Uzhhorod National University” |
| record_format | Article |
| series | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| spelling | doaj.art-33b24f34cb33464791aa77414abdaa1c2022-12-21T21:30:02ZengState University “Uzhhorod National University”Науковий вісник Ужгородського університету. Серія: Математика і інформатика2616-77002018-06-0101(32)808510.24144/2616-7700.2018.1(32).80-85157966On representation type of the semigroup $S^0_{32}$ over an arbitrary fieldО. В. ЗубарукIn this paper we study matrix representations of a semigroup that is the simplest amplification of the wild semigroup S_{32}=<a, b\,|\, a^3 = a, b^2 = b>, namely the semigroup S^0_{32}=<a, b\,|\, a^3 = a, b^2 = b, ab=0>. We prove that the semigroup S^0_{32} has finite representation type over an arbitrary field.http://visnyk-math.uzhnu.edu.ua/article/view/157966 |
| spellingShingle | О. В. Зубарук On representation type of the semigroup $S^0_{32}$ over an arbitrary field Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| title | On representation type of the semigroup $S^0_{32}$ over an arbitrary field |
| title_full | On representation type of the semigroup $S^0_{32}$ over an arbitrary field |
| title_fullStr | On representation type of the semigroup $S^0_{32}$ over an arbitrary field |
| title_full_unstemmed | On representation type of the semigroup $S^0_{32}$ over an arbitrary field |
| title_short | On representation type of the semigroup $S^0_{32}$ over an arbitrary field |
| title_sort | on representation type of the semigroup s 0 32 over an arbitrary field |
| url | http://visnyk-math.uzhnu.edu.ua/article/view/157966 |
| work_keys_str_mv | AT ovzubaruk onrepresentationtypeofthesemigroups032overanarbitraryfield |