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- W4253256357 abstract "Let R be a ring with radical (all rings have a unit element, all modules are unital). Often, one wishes to lift modules modulo , that is, to a given, say, left R / -module U find a left R -module E with the property that E / E ≃ U . This is of course not always possible. Here I prove, roughly, that if a finitely generated projective U can be lifted at all, it can be lifted to a projective. Or rather, if U can be lifted to an E satisfying a certain mild condition, then E is projective (Lemma)." @default.
- W4253256357 created "2022-05-12" @default.
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- W4253256357 date "1966-07-01" @default.
- W4253256357 modified "2023-09-24" @default.
- W4253256357 title "Lifting Projectives" @default.
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- W4253256357 doi "https://doi.org/10.1017/s0027763000026520" @default.
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