Radicals of algebras graded by cancellative linear semigroups
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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.References
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Additional Information
- A. V. Kelarev
- Email: kelarev@hilbert.maths.utas.edu.au
- Received by editor(s): March 29, 1994
- Received by editor(s) in revised form: August 12, 1994
- Communicated by: Ken Goodearl
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 61-65
- MSC (1991): Primary 16N20; Secondary 16S35
- DOI: https://doi.org/10.1090/S0002-9939-96-03036-5
- MathSciNet review: 1291778