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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| Date: | 2017 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155920 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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