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- W1590900968 abstract "A module over a Gorenstein ring is said to be Gorenstein injective if it splits under all modules of finite projective dimension. We show that over a Gorenstein ring every module has a Gorenstein injective envelope. We apply this result to the group algebra $hat{Z}_{rho}G$ (with $G$ a finite group and $hat{Z}_{p}$ the ring of $p$-adic integers for some prime $p$) and show that ever finitely generated $hat{Z}_{p}G$-module has a cover by a lattice. This gives a way of lifting finite dimensional representations of $G$ over $Z/(p)$ to modular representations of $G$ over $hat{Z}_{p}$." @default.
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- W1590900968 date "1996-12-01" @default.
- W1590900968 modified "2023-10-17" @default.
- W1590900968 title "Covers and envelopes over Gorenstein rings" @default.
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- W1590900968 doi "https://doi.org/10.21099/tkbjm/1496163097" @default.
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