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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 characteris...
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Інститут прикладної математики і механіки НАН України
2017
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155920 |
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irk-123456789-1559202019-06-18T01:28:20Z On the representation type of Jordan basic algebras Kashuba, I. Ovsienko, S. Shestakov, I. 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. 2017 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/155920 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 |
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. |
| format |
Article |
| author |
Kashuba, I. Ovsienko, S. Shestakov, I. |
| spellingShingle |
Kashuba, I. Ovsienko, S. Shestakov, I. On the representation type of Jordan basic algebras Algebra and Discrete Mathematics |
| author_facet |
Kashuba, I. Ovsienko, S. Shestakov, I. |
| author_sort |
Kashuba, I. |
| title |
On the representation type of Jordan basic algebras |
| title_short |
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_sort |
on the representation type of jordan basic algebras |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155920 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kashubai ontherepresentationtypeofjordanbasicalgebras AT ovsienkos ontherepresentationtypeofjordanbasicalgebras AT shestakovi ontherepresentationtypeofjordanbasicalgebras |
| first_indexed |
2023-05-20T17:48:22Z |
| last_indexed |
2023-05-20T17:48:22Z |
| _version_ |
1796154137109331968 |