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.

UDC: 512.554

Received: 25.11.2009
Revised: 11.05.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:5, 14–18

Bibliographic databases:

• 
• 
•