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- W3098169502 abstract "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." @default.
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- W3098169502 date "2012-06-01" @default.
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- W3098169502 title "IS AN IRNG SINGLY GENERATED AS AN IDEAL?" @default.
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- W3098169502 doi "https://doi.org/10.1142/s0218196712500361" @default.
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