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- W2783602839 abstract "Given a multiplicative subset S in a commutative ring R, we consider S-weakly cotorsion and S-strongly flat R-modules, and show that all R-modules have S-strongly flat covers if and only if all flat R-modules are S-strongly flat. These equivalent conditions hold if and only if the localization RS is a perfect ring and, for every element s∈S, the quotient ring R/sR is a perfect ring, too. The multiplicative subset S⊂R is allowed to contain zero-divisors." @default.
- W2783602839 created "2018-01-26" @default.
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- W2783602839 date "2019-08-01" @default.
- W2783602839 modified "2023-10-18" @default.
- W2783602839 title "S-almost perfect commutative rings" @default.
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- W2783602839 doi "https://doi.org/10.1016/j.jalgebra.2019.05.018" @default.
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