Monod, NicolasOzawa, NarutakaThom, Andreas2011-12-112011-12-112011-12-11201210.1142/S0218196712500361https://infoscience.epfl.ch/handle/20.500.14299/73071Recall 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.text::journal::journal article::research article