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- W1993831717 abstract "Abstract Let R be a noetherian ring, and denote the full subcategories of R-modules L such that Exti(E,L)=0 for all injective R-modules E for 1⋚i⋚n and O⋚i⋚n by Cn, and C′n respectively. Then LeCn, if and only if every injective resolution of L is an injective resolvent of the nth cosyzygy. In this case, L is not injective if and only if its injective dimension is greater than n. If LeC′n and idN⋚n. then Hom(N,L)=0 for all R-modules N. As an application, let Kn be the nth syzygy of an injective resolvent of the nth cosyzygy of an R-module N, then there exists a homomorphism φ:N → K such that ((φ,iN), Kn • E(N)) and (φ,Kn) are preenvelopes of N for Cs and C′s respectively, for s≥n. If the global dimension of R is at most 2, then C′1 is reflective in the category of R-modules." @default.
- W1993831717 created "2016-06-24" @default.
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- W1993831717 date "1986-01-01" @default.
- W1993831717 modified "2023-09-26" @default.
- W1993831717 title "INJECTIVE RESOLVENTS AND PREENVELOPES" @default.
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- W1993831717 doi "https://doi.org/10.1080/16073606.1986.9632119" @default.
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