IS AN IRNG SINGLY GENERATED AS AN IDEAL?
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 …