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Decompositions of groups of invertible elements in a ring

Published online by Cambridge University Press:  04 November 2009

Petar Pavešić
Petar Pavešić
Affiliation:
Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia, (petar.pavesic@fmf.uni-lj.si)
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Abstract

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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