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research article
Is an irng singly generated as an ideal?
Recall that a rng is a ring which is possibly non-unital. In this note, we address the problem whether every finitely generated idempotent rng (abbreviated as irng) is singly generated as an ideal. It is well-known that it is the case for a commutative irng. We prove here it is also the case for a free rng on finitely many idempotents and for a finite irng. A relation to the Wiegold problem for perfect groups is discussed.
Type
research article
Authors
Publication date
2012
Publisher
Published in
Volume
22
Issue
4
Article Number
1250036
URL
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 11, 2011
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