Decompositions of groups of invertible elements in a ring
Published online by Cambridge University Press: 04 November 2009
Abstract
We describe decompositions of the group of units of a ring and of its subgroups, induced by idempotents with certain properties. The results apply to several classes of rings, most notably to semi-perfect rings.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1275 - 1287
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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