Article contents
The algebra of a commutative semigroup over a commutative ring with unity
Published online by Cambridge University Press: 14 November 2011
Synopsis
A new description is provided for the nil radical of the algebra RS of a commutative semigroup S over a commutative ring R with a 1. It is shown that the Jacobson radical of RS is nil if the Jacobson radical of R is nil and that the converse holds in the case where S is periodic.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 3-4 , 1985 , pp. 387 - 398
- Copyright
- Copyright © Royal Society of Edinburgh 1985
References
- 6
- Cited by