Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T02:10:47.292Z Has data issue: false hasContentIssue false
  • English
  • Français

Rings graded by bisimple inverse semigroups

Published online by Cambridge University Press:  11 July 2007

W. D. Munn
W. D. Munn
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)