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- W4239999736 abstract "A proof is given to show all flat left modules of a ring are free if and only if the ring is a local ring with a left T-nilpotent maximal ideal. We characterize left perfect rings whose radical R has the property that $I{R^n} = { 0}$ for some positive integer n if I is a finitely generated right ideal contained in R. We cite an example of a left perfect ring which does not have this property. It is shown that if the set of irreducible elements of a left perfect ring is right T-nilpotent then the ring is right perfect." @default.
- W4239999736 created "2022-05-12" @default.
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- W4239999736 date "1972-03-01" @default.
- W4239999736 modified "2023-09-24" @default.
- W4239999736 title "Left Perfect Rings That are Right Perfect and a Characterization of Steinitz Rings" @default.
- W4239999736 doi "https://doi.org/10.2307/2038310" @default.
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