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Algebra and Discrete Mathematics, 2017, Volume 23, Issue 1, Pages 47–61 (Mi adm596)  

This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

On the representation type of Jordan basic algebras

Iryna Kashubaa, Serge Ovsienkob, Ivan Shestakova

a Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matão 1010, São Paulo 05311-970, Brasil
b Faculty of Mechanics and Mathematics, Kiev Taras Shevchenko University, Volodymyrska St, 60, Kyiv, 01033 Ukraine
Full-text PDF (359 kB) Citations (1)
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Abstract: A finite dimensional Jordan algebra $J$ over a field $\mathbf{k}$ is called basic if the quotient algebra $J/\operatorname{Rad} J$ is isomorphic to a direct sum of copies of $\mathbf{k}$. We describe all basic Jordan algebras $J$ with $(\operatorname{Rad} J)^2=0$ of finite and tame representation type over an algebraically closed field of characteristic 0.
Keywords: Jordan algebra, Jordan bimodule, representation type, quiver of an algebra.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2016/08740-1
2014/09310-5
National Council for Scientific and Technological Development (CNPq) 307998/2016-9
303916/2014-1
The first author was supported by the Brazilian FAPESP Proc. 2016/08740-1 and CNPq Proc. 307998/2016-9. The the third author was supported by the Brazilian FAPESP Proc. 2014/09310-5 and CNPq Proc. 303916/2014-1.
Received: 28.03.2017
Bibliographic databases:
Document Type: Article
MSC: 16G60, 17C55, 17C99
Language: English
Citation: Iryna Kashuba, Serge Ovsienko, Ivan Shestakov, “On the representation type of Jordan basic algebras”, Algebra Discrete Math., 23:1 (2017), 47–61
Citation in format AMSBIB
\Bibitem{KasOvsShe17}
\by Iryna~Kashuba, Serge~Ovsienko, Ivan~Shestakov
\paper On the representation type of Jordan basic algebras
\jour Algebra Discrete Math.
\yr 2017
\vol 23
\issue 1
\pages 47--61
\mathnet{http://mi.mathnet.ru/adm596}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000398979400006}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Algebra and Discrete Mathematics
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    References:21
     
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