Basic semigroups: theory and applications
A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section 4 is devoted to some application of basic semigroups: matrix representations (inc...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1011 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10112018-05-15T06:58:22Z Basic semigroups: theory and applications Ponizovskii, J. S. A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section 4 is devoted to some application of basic semigroups: matrix representations (including faithful representations), finiteness theorems, the problem of Korjakov (when a matrix semigroup over field \(K\) is conjugate to a matrix semigroup over a proper subfield of \(K\)). The paper is a survey and contains no proofs (which may be found in papers from References). Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1011 Algebra and Discrete Mathematics; Vol 3, No 4 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1011/540 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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OJS |
| language |
English |
| topic |
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| spellingShingle |
Ponizovskii, J. S. Basic semigroups: theory and applications |
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| format |
Article |
| author |
Ponizovskii, J. S. |
| author_facet |
Ponizovskii, J. S. |
| author_sort |
Ponizovskii, J. S. |
| title |
Basic semigroups: theory and applications |
| title_short |
Basic semigroups: theory and applications |
| title_full |
Basic semigroups: theory and applications |
| title_fullStr |
Basic semigroups: theory and applications |
| title_full_unstemmed |
Basic semigroups: theory and applications |
| title_sort |
basic semigroups: theory and applications |
| description |
A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section 4 is devoted to some application of basic semigroups: matrix representations (including faithful representations), finiteness theorems, the problem of Korjakov (when a matrix semigroup over field \(K\) is conjugate to a matrix semigroup over a proper subfield of \(K\)). The paper is a survey and contains no proofs (which may be found in papers from References). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1011 |
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AT ponizovskiijs basicsemigroupstheoryandapplications |
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2024-04-12T06:27:18Z |
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2024-04-12T06:27:18Z |
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