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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 19–24
(Mi ivm7299)
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Homogeneously simple associative algebras
N. A. Koreshkov Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, Kazan, Russia
Abstract:
We prove that every finite-dimensional homogeneously simple associative algebra over an algebraically closed field is representable as the product of a full matrix algebra and a graded field.
Keywords:
homogeneously simple associative algebra, graded field.
Received: 25.11.2009 Revised: 11.05.2010
Citation:
N. A. Koreshkov, “Homogeneously simple associative algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 19–24; Russian Math. (Iz. VUZ), 55:5 (2011), 14–18
Linking options:
https://www.mathnet.ru/eng/ivm7299 https://www.mathnet.ru/eng/ivm/y2011/i5/p19
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