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- W2062421581 abstract "If T is a perfect torsion theory for a category of modules over a commutative ring R, a module C is called T—cotorsion provided HomR(QT,C) = 0 = ExtR (QT,C) where QT denotes the T-injective hull of R. Motivated by the now classical results of D. K. Harrison for abelian groups and of E. Matlis for modules over a domain, the theory of T—cotorsion modules is extended. For example, a category equivalence is obtained between the category of T—compact T-cotorsion modules and the category of T-torsion T-reduced modules. The class of T-divisible modules (homomorphic images of T-injective modules) is shown to be closed under formation of extensions if and only if pdRQT ≤ 1, in the case that QT is T—cocritical." @default.
- W2062421581 created "2016-06-24" @default.
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- W2062421581 date "1990-01-01" @default.
- W2062421581 modified "2023-09-23" @default.
- W2062421581 title "COTORSION MODULES AND PROJECTIVE DIMENSION ONE" @default.
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- W2062421581 doi "https://doi.org/10.1080/16073606.1990.9631970" @default.
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