On the representation type of Jordan basic algebras
A finite dimensional Jordan algebra J over a field k is called \textit{basic} if the quotient algebra J/RadJ is isomorphic to a direct sum of copies of k.
 We describe all basic Jordan algebras J with (RadJ)²=0 of finite and tame representation type over an algebraically closed field of cha...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2017 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155920 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the representation type of Jordan basic algebras / I. Kashuba, S. Ovsienko, I. Shestakov // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 47-61. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575240677163008 |
|---|---|
| author | Kashuba, I. Ovsienko, S. Shestakov, I. |
| author_facet | Kashuba, I. Ovsienko, S. Shestakov, I. |
| citation_txt | On the representation type of Jordan basic algebras / I. Kashuba, S. Ovsienko, I. Shestakov // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 47-61. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A finite dimensional Jordan algebra J over a field k is called \textit{basic} if the quotient algebra J/RadJ is isomorphic to a direct sum of copies of k.
We describe all basic Jordan algebras J with (RadJ)²=0 of finite and tame representation type over an algebraically closed field of characteristic 0.
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| first_indexed | 2025-11-26T13:23:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155920 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T13:23:56Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kashuba, I. Ovsienko, S. Shestakov, I. 2019-06-17T15:28:44Z 2019-06-17T15:28:44Z 2017 On the representation type of Jordan basic algebras / I. Kashuba, S. Ovsienko, I. Shestakov // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 47-61. — Бібліогр.: 15 назв. — англ. 1726-3255 2010 MSC:16G60, 17C55, 17C99. https://nasplib.isofts.kiev.ua/handle/123456789/155920 A finite dimensional Jordan algebra J over a field k is called \textit{basic} if the quotient algebra J/RadJ is isomorphic to a direct sum of copies of k.
 We describe all basic Jordan algebras J with (RadJ)²=0 of finite and tame representation type over an algebraically closed field of characteristic 0. Supported by the Brazilian FAPESP Proc. 2016/08740-1 and CNPq Proc.307998/2016-9.
 Supported by the Brazilian FAPESP Proc. 2014/09310-5 and CNPq Proc.303916/2014-1. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the representation type of Jordan basic algebras Article published earlier |
| spellingShingle | On the representation type of Jordan basic algebras Kashuba, I. Ovsienko, S. Shestakov, I. |
| title | On the representation type of Jordan basic algebras |
| title_full | On the representation type of Jordan basic algebras |
| title_fullStr | On the representation type of Jordan basic algebras |
| title_full_unstemmed | On the representation type of Jordan basic algebras |
| title_short | On the representation type of Jordan basic algebras |
| title_sort | on the representation type of jordan basic algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155920 |
| work_keys_str_mv | AT kashubai ontherepresentationtypeofjordanbasicalgebras AT ovsienkos ontherepresentationtypeofjordanbasicalgebras AT shestakovi ontherepresentationtypeofjordanbasicalgebras |