… for which E.+, is an injective envelope of d(En); such will be cal injective resolution. We
write IdA(A) for the injective dimension of a Amodule A. It is easy to see that, for a minimal …

… cohomology modules of finitely generated modules, we assumed that the modules have finite
injective dimension … We, however, need to consider modules of infinite injective dimension …

… dimension known as Gorenstein injective dimension. That the result was obtained for the
relative dimension … the embedding is a homology isomorphism, so HomR(S, X) is acyclic. As X …

… We shall say that A is a G-module (or a G-kernel) if G operates continuously as a group of
automorphisms of A. By an extension of G by the G-module A we shall mean a locally compact …

… B-module remains injective when considered as an A-module, it follows by the corollary to
… A-module of projective dimension less than s and M is a fg A-module of projective dimension …

… Here, since finite-dimensional Hopf algebras are self-injective, we have cd(A) ∈ {0,∞},
and the interest of Question 1 is more on the theoretical side, but, as Etingof pointed out, …

… dimension d and I an ideal of R. We show that the set of associated primes of the local
cohomology module … For any R-module M, the ith local cohomology module of M with support in I …

… the injective dimension of M in Mod, that is, inj.dimS M = max{ i | µi(P, M) 0 for some prime
ideal P }. Similarly, ∗inj.dimS M denotes the injective dimension of a Zn-graded S-module M in …

… 4 cohomology module of M with support in VI s PP > I, P g Spec A . The local cohomology
modules … In this section, we study the injective dimensions of local cohomology modules of …

… a module of finite positive Gorenstein injective dimension over a commutative noetherian ring
R, then its Gorenstein injective dimension is … that the part of a local cohomology module Hi …