Rings graded by bisimple inverse semigroups
Published online by Cambridge University Press: 11 July 2007
Abstract
Sufficient conditions are obtained for a ring R, faithfully graded by a bisimple inverse semigroup S, to be (a) prime and (b) right primitive, these conditions being on the subring RG consisting of all elements of R with support contained in G, a maximal subgroup of S. Earlier results on semigroup rings arise as special cases.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 3 , June 2000 , pp. 603 - 609
- Copyright
- Copyright © Royal Society of Edinburgh 2000
- 5
- Cited by