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- W2912609749 abstract "In this paper, we study the conditions under which a module is a strict Mittag–Leffler module over the class [Formula: see text] of Gorenstein injective modules. To this aim, we introduce the notion of [Formula: see text]-projective modules and prove that over noetherian rings, if a module can be expressed as the direct limit of finitely presented [Formula: see text]-projective modules, then it is a strict Mittag–Leffler module over [Formula: see text]. As applications, we prove that if [Formula: see text] is a two-sided noetherian ring, then [Formula: see text] is a covering class closed under pure submodules if and only if every injective module is strict Mittag–Leffler over [Formula: see text]." @default.
- W2912609749 created "2019-02-21" @default.
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- W2912609749 date "2019-03-08" @default.
- W2912609749 modified "2023-09-29" @default.
- W2912609749 title "Strict Mittag–Leffler modules over Gorenstein injective modules" @default.
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- W2912609749 doi "https://doi.org/10.1142/s0219498820500504" @default.
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