Radicals of algebras graded by cancellative linear semigroups-Reference-Cited by-同舟云学术

Radicals of algebras graded by cancellative linear semigroups

Published:1996 Issue:1 Volume:124 Page:61-65
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kelarev A.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-01/S0002-9939-96-03036-5/S0002-9939-96-03036-5.pdf

Reference20 articles.

1. On the semi-simplicity of group algebras;Amitsur, S. A.;Michigan Math. J.,1959

2. On graded rings with finiteness conditions;Camillo, V. P.;Proc. Amer. Math. Soc.,1982

3. Homogeneity of the radical of semigroup-graded rings;Clase, M. V.;Comm. Algebra,1994

4. M. V. Clase, E. Jespers, A. V. Kelarev, and J. Okniński, Artinian semigroup graded rings, Bull. London Math. Soc. (to appear).

5. Radicals of graded rings;Jespers, E.,1993

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a theorem of Cohen and Montgomery for graded rings;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2001-10

2. Power graphs and semigroups of matrices;Bulletin of the Australian Mathematical Society;2001-04

3. Determination of interfering triazine degradation products by gas chromatography–ion trap mass spectrometry;Journal of Chromatography A;2000-01