On tame semigroups generated by idempotents with partial null multiplication
Let \(I\) be a finite set without \(0\) and \(J\) a subset in \(I\times I\) without diagonal elements \((i,i)\). We define \(S(I,J)\) to be the semigroup with generators \(e_i\), where \(i\in I\cup 0\), and the following relations: \(e_0=0\); \(e_i^2=e_i\) for any \(i\in I\); \(e_ie_j=0\) for an...
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| Дата: | 2018 |
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| Автори: | , |
| 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/824 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-8242018-03-22T09:57:42Z On tame semigroups generated by idempotents with partial null multiplication Bondarenko, Vitaliy M. Tertychna, Olena M. semigroup, representation, tame type, the Tits form 15A, 16G Let \(I\) be a finite set without \(0\) and \(J\) a subset in \(I\times I\) without diagonal elements \((i,i)\). We define \(S(I,J)\) to be the semigroup with generators \(e_i\), where \(i\in I\cup 0\), and the following relations: \(e_0=0\); \(e_i^2=e_i\) for any \(i\in I\); \(e_ie_j=0\) for any \((i,j)\in J\). In this paper we study finite-dimensional representations of such semigroups over a field \(k\). In particular, we describe all finite semigroups \(S(I,J)\) of tame representation type. Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/824 Algebra and Discrete Mathematics; Vol 7, No 4 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/824/354 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
semigroup representation tame type the Tits form 15A 16G |
| spellingShingle |
semigroup representation tame type the Tits form 15A 16G Bondarenko, Vitaliy M. Tertychna, Olena M. On tame semigroups generated by idempotents with partial null multiplication |
| topic_facet |
semigroup representation tame type the Tits form 15A 16G |
| format |
Article |
| author |
Bondarenko, Vitaliy M. Tertychna, Olena M. |
| author_facet |
Bondarenko, Vitaliy M. Tertychna, Olena M. |
| author_sort |
Bondarenko, Vitaliy M. |
| title |
On tame semigroups generated by idempotents with partial null multiplication |
| title_short |
On tame semigroups generated by idempotents with partial null multiplication |
| title_full |
On tame semigroups generated by idempotents with partial null multiplication |
| title_fullStr |
On tame semigroups generated by idempotents with partial null multiplication |
| title_full_unstemmed |
On tame semigroups generated by idempotents with partial null multiplication |
| title_sort |
on tame semigroups generated by idempotents with partial null multiplication |
| description |
Let \(I\) be a finite set without \(0\) and \(J\) a subset in \(I\times I\) without diagonal elements \((i,i)\). We define \(S(I,J)\) to be the semigroup with generators \(e_i\), where \(i\in I\cup 0\), and the following relations: \(e_0=0\); \(e_i^2=e_i\) for any \(i\in I\); \(e_ie_j=0\) for any \((i,j)\in J\). In this paper we study finite-dimensional representations of such semigroups over a field \(k\). In particular, we describe all finite semigroups \(S(I,J)\) of tame representation type. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/824 |
| work_keys_str_mv |
AT bondarenkovitaliym ontamesemigroupsgeneratedbyidempotentswithpartialnullmultiplication AT tertychnaolenam ontamesemigroupsgeneratedbyidempotentswithpartialnullmultiplication |
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2024-04-12T06:26:38Z |
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2024-04-12T06:26:38Z |
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