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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862581508746772480 |
|---|---|
| author | Bondarenko, V.M. Tertychna, O.M. |
| author_facet | Bondarenko, V.M. Tertychna, O.M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-26T21:36:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153368 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T21:36:15Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bondarenko, V.M. Tertychna, O.M. 2019-06-14T03:37:47Z 2019-06-14T03:37:47Z 2008 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. https://nasplib.isofts.kiev.ua/handle/123456789/153368 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On tame semigroups generated by idempotents with partial null multiplication Article published earlier |
| spellingShingle | On tame semigroups generated by idempotents with partial null multiplication Bondarenko, V.M. Tertychna, O.M. |
| title | 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_short | On tame semigroups generated by idempotents with partial null multiplication |
| title_sort | on tame semigroups generated by idempotents with partial null multiplication |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153368 |
| work_keys_str_mv | AT bondarenkovm ontamesemigroupsgeneratedbyidempotentswithpartialnullmultiplication AT tertychnaom ontamesemigroupsgeneratedbyidempotentswithpartialnullmultiplication |