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Original Articles

Central Simple Nonassociative Algebras with Operators

Pages 4153-4169 | Received 02 Apr 2008, Published online: 10 Nov 2009
 

Abstract

The classical central simple theory of associative algebras generalizes, in this article, to a central simple theory of nonassociative algebras with operators and a related central irreducible theory of modules. These theories are motivated by, and apply to, problems of constructing and classifying simple Jordan Lie algebras, irreducible modules, and birings.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

It is a pleasure to thank the referee for helpful comments and suggestions at this time.

Notes

Communicated by I. Shestakov.

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