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# Radicals of algebras graded by cancellative linear semigroups

journal contribution

posted on 2023-05-16, 10:22 authored by Kelarev, AVWe 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. Â© 1996 American Mathematical Society.

## History

## Publication title

Proceedings of the American Mathematical Society## Volume

124## Pagination

61-65## ISSN

0002-9939## Department/School

School of Natural Sciences## Publisher

Amer Mathematical Soc## Place of publication

201 Charles St, Providence, USA, Ri, 02940-2213## Repository Status

- Restricted