… of replacing the global dimension by injective dimension. The … by the ones used in the global
dimension case, as for instance … of the finite global dimension case and the finite injective …

… the modules of finite projective or injective dimension over a … dimension coincides with one
of injective dimension. Then it follows that the highest finite projective (or injective) dimension …

… having a minimal injective resolution each term of which is of finite projective dimension, and
… Further, assuming that each term in a minimal injective resolution is projective, we obtain a …

… fact that the injective dimension of any finite module of finite injective dimension equals the
… Then we can show that the injective dimension of the Λ-module M is greater than or equal to …

… quasi-Frobenius rings are those which are self injective [10, Theorem 18]. This … injective
dimension is finite. Thus, for example, Theorem 3.3, describing rings of self injective dimension …

… with finite projective dimension, the Gorenstein injective dimension GidRM equals the usual
injective dimension idRM… In particular, if GidRR is finite, then also idRR is finite, and thus R is …

… FP-idRR (FP-idRR) is called the left (right) self-FP-injective dimension of R. It is clear that
M is FP-injective if ;md only if FP - idM = 0. … From [7, Corollary 3.181 we know that self-FP-injective …

… finite injective dimension, or equivalently, the class of all modules of finite projective dimension
… These modules are called Gorenstein injective modules. 'C will denote the class of those …

… The injective dimensions of RU and US are identical provided both of them are finite. Under
the assumption that the injective dimensions of RU and US are finite, we describe when the …

… injective dimension. Specifically, if M is a module of finite positive Gorenstein injective
dimension over a commutative noetherian ring R, then its Gorenstein injective dimension is the …