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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 9, Pages 36–42
(Mi ivm7126)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm7126 https://www.mathnet.ru/eng/ivm/y2010/i9/p36
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Abstract page: | 264 | Full-text PDF : | 40 | References: | 25 | First page: | 5 |
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