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Radicals of algebras graded by cancellative linear semigroups
Author(s):
A.
V.
Kelarev
Journal:
Proc. Amer. Math. Soc.
124
(1996),
61-65.
MSC (1991):
Primary 16N20;
Secondary 16S35
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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.
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Additional Information:
A.
V.
Kelarev
Affiliation:
Department of Mathematics, University of Tasmania, Hobart, G. P. O. Box 252 C, Tasmania 7001, Australia
Email:
kelarev@hilbert.maths.utas.edu.au
DOI:
10.1090/S0002-9939-96-03036-5
PII:
S 0002-9939(96)03036-5
Received by editor(s):
March 29, 1994
Received by editor(s) in revised form:
August 12, 1994
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
1996,
American Mathematical Society
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