… In Section 5 we apply some general results of cohomology theory for abelian … the cohomology
functor arising from Lemma 5.1 is trivial on the injective S-modules in positive dimensions. …

… characterization of regular rings, and Bass' formula for injective dimension must be intrigued
by the highlights of this monograph. … , now we extend it to complexes with finite homology. G-…

… annihilation of local cohomology modules over an arbitrary … commutative Noetherian ring
of dimension not exceeding 4. … +1 →⋯ provide the minimal injective resolution for M. We use …

… computation of the cohomology of infinite-dimensional Lie al… topic: the cohomology of
finite-dimensional Lie algebras and … close to the homology of infinite-dimensional Lie algebras.) …

… local cohomology module. Here we adopt the convention that the flat dimension of the zero
module is to … to see that the injective dimension of the nitely generated R-module HomR(Hn …

… injective Γ-module, and we establish the basic results that allow to compute bounded
cohomology via relatively injective … infinite-dimensional second bounded cohomology module. In …

… of modules of finite Gorenstein projective, injective and flat … projective and Gorenstein
injective dimensions is closely … complete cohomological functors in the category of left R-modules. …

… cohomological dimensions. We then resolve the Artinianness of top local cohomology modules
over … factorization domain R of dimension at most three, the top local cohomology module …

… cohomology and show how an injective (surjective) algebra morphism A -A can give rise to
a long exact cohomology … The fact that r is injective implies a is thus by dimension a is an A-…

… of a certain second cohomology module, are associated in a … only if the second cohomology
module of A with coefficients … the dimensions of the first and second cohomology modules (…