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- W2738779121 abstract "A module M is lifting if for every submodule A of M, there exists a direct summand B of M such that B ≤ A and A/B small in M/B. Every non-cosingular lifting module has the summand sum property. We call any module M FI-lifting if for every fully invariant submodule A of M there exists a direct summand B of M such that B ≤ A and A/B is small in M/B. In contrast to lifting modules, any finite direct sum of FI-lifting modules is FI-lifting." @default.
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- W2738779121 date "2005-01-01" @default.
- W2738779121 modified "2023-09-27" @default.
- W2738779121 title "THE LIFTING CONDITION AND FULLY INVARIANT SUBMODULES" @default.
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