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Radicals of algebras graded by cancellative linear semigroups

Citation

Kelarev, AV, Radicals of algebras graded by cancellative linear semigroups, Proceedings of the American Mathematical Society, 124, (1) pp. 61-65. ISSN 0002-9939 (1996) [Refereed Article]

DOI: doi:10.1090/S0002-9939-96-03036-5

Abstract

We consider algebras over a field of characteristic zero, and prove that the Jacobson radical is homogeneous in every algebra graded by a linear cancellative semigroup. It follows that the semigroup algebra of every linear cancellative semigroup is semisimple. © 1996 American Mathematical Society.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:8867
Year Published:1996
Web of Science® Times Cited:2
Deposited By:Mathematics
Deposited On:1996-08-01
Last Modified:2011-08-22
Downloads:0

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