Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre–Grothendieck duality
نویسندگان
چکیده
منابع مشابه
Injective Modules and Fp-injective Modules over Valuation Rings
It is shown that each almost maximal valuation ring R, such that every indecomposable injective R-module is countably generated, satisfies the following condition (C): each fp-injective R-module is locally injective. The converse holds if R is a domain. Moreover, it is proved that a valuation ring R that satisfies this condition (C) is almost maximal. The converse holds if Spec(R) is countable....
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It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to 2. This implies that the projective dimension of any countably generated FP-injective module over an Archimedean chain ring is less or equal to 3. By [7, Theorem 1], for any module G over a commutative arithmetical ring R the weak dimension of G ...
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15 صفحه اولCOMPLEXES OF INJECTIVE kG-MODULES
Let G be a finite group and k be a field of characteristic p. We investigate the homotopy category K(Inj kG) of the category C(Inj kG) of complexes of injective (= projective) kG-modules. If G is a p-group, this category is equivalent to the derived category Ddg(C(BG; k)) of the cochains on the classifying space; if G is not a p-group it has better properties than this derived category. The ord...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2016
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-016-0290-6