3 research outputs found

    Is an irng singly generated as an ideal?

    No full text
    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

    IS AN IRNG SINGLY GENERATED AS AN IDEAL?

    No full text
    corecore