Radicals of algebras graded by cancellative linear semigroups

Kelarev, A.

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

Radicals of algebras graded by cancellative linear semigroups
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Proc. Amer. Math. Soc. 124 (1996), 61-65 Request permission

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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