This article is cited 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.

UDC: 512.554

Received: 12.11.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:9, 30–35

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