On tame semigroups generated by idempotents with partial null multiplication
Let I be a finite set without 0 and J a subset in I×I without diagonal elements (i,i). We define S(I,J) to be the semigroup with generators ei, where i∈I∪0, and the following relations: e0=0; e2i=ei for any i∈I; eiej=0 for any (i,j)∈J. In this paper we study finite-dimensional representations o...
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| Дата: | 2008 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153368 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On tame semigroups generated by idempotents with partial null multiplication / V.M. Bondarenko, O.M. Tertychn // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 15–22. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1533682019-06-15T01:26:35Z On tame semigroups generated by idempotents with partial null multiplication Bondarenko, V.M. Tertychna, O.M. Let I be a finite set without 0 and J a subset in I×I without diagonal elements (i,i). We define S(I,J) to be the semigroup with generators ei, where i∈I∪0, and the following relations: e0=0; e2i=ei for any i∈I; eiej=0 for any (i,j)∈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. 2008 Article On tame semigroups generated by idempotents with partial null multiplication / V.M. Bondarenko, O.M. Tertychn // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 15–22. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 15A, 16G. http://dspace.nbuv.gov.ua/handle/123456789/153368 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let I be a finite set without 0 and J a subset in I×I without diagonal elements (i,i). We define S(I,J) to be the semigroup with generators ei, where i∈I∪0, and the following relations: e0=0; e2i=ei for any i∈I; eiej=0 for any (i,j)∈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. |
| format |
Article |
| author |
Bondarenko, V.M. Tertychna, O.M. |
| spellingShingle |
Bondarenko, V.M. Tertychna, O.M. On tame semigroups generated by idempotents with partial null multiplication Algebra and Discrete Mathematics |
| author_facet |
Bondarenko, V.M. Tertychna, O.M. |
| author_sort |
Bondarenko, V.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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153368 |
| citation_txt |
On tame semigroups generated by idempotents with partial null multiplication / V.M. Bondarenko, O.M. Tertychn // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 15–22. — Бібліогр.: 6 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT bondarenkovm ontamesemigroupsgeneratedbyidempotentswithpartialnullmultiplication AT tertychnaom ontamesemigroupsgeneratedbyidempotentswithpartialnullmultiplication |
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2023-05-20T17:38:46Z |
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2023-05-20T17:38:46Z |
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1796153769251045376 |