… cohomology group for G in V by the continuous cohomology group of a certain factor group of
G in the trivial 1-dimensional G-module… a continuousG-module A is continuously injective if, …

… In terms of cohomology, Baer’s criterion asserts that an R-module M is … of Baer’s criterion,
the injective dimension of an R-complex is detected by vanishing of Ext against cyclic modules. …

… intersection of the highest dimensional primary components of … For a commutative ring A of
finite dimension we denote by GA … Matlis structure theory about injective modules. It induces a …

… module. There is a canonical homomorphism M → D(D(M)) which is easily seen to be injective…
variation of the Local Duality Theorem for an n-dimensional Gorenstein ring (R, m). Let y = …

… Schenzel have discussed the injectivity and surjectivity of the homomorphism µ in terms
of numerical invariants τd,d, where τi,j is defined to be the socle dimension of Hi …

… We show that the corresponding cohomology groups ${\sf H}^i({\bf G}_*,{\bf A}_*)$, $0\leq
i \… cohomology of crossed modules first introduced in \cite{ccg}, and further studied in [9], [15]. …

… vanishing theorem for the sheaves of local cohomology Hf (F) for all i> r and all quasicoherent
F. Applications include computa-tion of the cohomological dimension of Pn-Y for arbitrary …

… the dimension of the mod-p cohomology ring and of Alperin–Evens on the complexity of
modules … Because this module is also injective it is a projective direct summand of M ⊕ M and …

… sequences, functors, injective and projective modules, projective and injective resolutions,
projective and injective dimension, homology and cohomology modules, and derived functors…

… injective resolution of M up to any desired cohomological … an algorithm computing the
local cohomology modules Hi … local cohomology modules and the cohomological dimension …