Homogeneously simple associative algebras

Homogeneously simple associative algebras

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.

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Bibliographische Detailangaben
Veröffentlicht in:Russian mathematics 2011-05, Vol.55 (5), p.14-18
1. Verfasser: Koreshkov, N. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X11050033