… linearly compact modules have semi-local endomorphism ring, cancel … We also deduce that
modules over commutative rings … of dual Goldie dimension to find classes of modules whose …

… For an R-module M the canonical ring map … module M := Hh I (R) if Hl I (R) = 0 for every l =
h (= height(I)) (I an ideal of R); furthermore the same holds for the Matlis dual of such a module…

… module, then the a-closed submodules coincide with the dual-closed submodules and
Corollary 2.6 gives Theorem 9 of [S] or Theorem 2 of [7]. The a-closed submodules and the dual-…

… ring C we shall denote always by ec the category of all right Cmodules and by Endc(M) the
C-endomorphism ring … We shall say that A has a duality for modules if there exists a duality be…

… modules and their endomorphism rings. Specifically, the basic problem is to describe the
projective modules whose endomorphism rings … Call a projective module regular if every cyclic …

… Before we shall continue we will give a certain variation of the Local Duality Theorem for an
n-dimensional Gorenstein ring (R, m). Let y = y1,...,yn denote a system of parameters. Then …

… module is fg Similarly artinian rings are characterised by the property that every f .g module
is artinian… This led Vamos to introduce two classes of rings, namely rings possessing the dual …

… V, or QI, ring to simple rings. The latter are characterized as those right Noetherian rings
for which the endomorphism ring of any indecomposable injective right module is a field (see …

… In § 16 we shall deal with the endomorphism rings of faithful modules over a quasi-Frobenius
ring. We shall prove that for a quasi-Frobenius ring A the A-endomorphism rings of two …

… R-module and E = End,(P) be its endomorphism ring. If P is finitely generated as an R-module,
then the basic theory of … Let P* denote the dual module Hom(,P, RR) and E denote the R-…