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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 9, Pages 36–42 (Mi ivm7126)  
This article is cited in 1 scientific paper (total in 1 paper)

Finite-dimensional homogeneously simple algebras of associative type

N. A. Koreshkov

Chair of Algebra and Mathematical Logic, Kazan State University, Kazan, Russia
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Abstract: In this paper we describe finite-dimensional homogeneously simple algebras of associative type whose 1-component is a full matrix algebra. In addition, we prove that a finite-dimensional division ring of associative type over an algebraically closed field is isomorphic to a group algebra.
Keywords: homogeneously simple algebra of associative type, division ring of associative type.
Received: 12.11.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 9, Pages 30–35
DOI: https://doi.org/10.3103/S1066369X10090033
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: N. A. Koreshkov, “Finite-dimensional homogeneously simple algebras of associative type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9, 36–42; Russian Math. (Iz. VUZ), 54:9 (2010), 30–35
Citation in format AMSBIB
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\by N.~A.~Koreshkov
\paper Finite-dimensional homogeneously simple algebras of associative type
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 9
\pages 36--42
\mathnet{http://mi.mathnet.ru/ivm7126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789305}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 9
\pages 30--35
\crossref{https://doi.org/10.3103/S1066369X10090033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649558709}
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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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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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