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.
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Original Russian Text © N.A. Koreshkov, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 9, pp. 36–42.
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Koreshkov, N.A. Finite-dimensional homogeneously simple algebras of associative type. Russ Math. 54, 30–35 (2010). https://doi.org/10.3103/S1066369X10090033
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DOI: https://doi.org/10.3103/S1066369X10090033