… modules and their endomorphism rings. It shows that if M is a self-cogenerator pseudo-projective
module … By the dual method for pseudo-projective modules, it shows that for a pseudo-…

… will be right modules unless otherwise specified. Since we want all modules MR to have an
endomorphism ring End(… The notion dual to that of projective module is the notion of injective …

… Notice that any object μW : W0 → W1 in Morph(Mod-k) has a semilocal endomorphism ring
of dual Goldie dimension ≤ n + m, so that all the monoids in the rest of this example will be …

… endomorphism ring of a cyclic module. Let us recall a description of the endomorphism ring
of a cyclic right module … generated module over a semilocal ring whose endomorphism ring …

… endomorphism rings of certain modules, (iii) modules are closely and tightly connected to
their endomorphism rings … then we obtain the dual of the N-module First Isomorphism Theorem…

… ring. This monograph deals with the right R-modules MR whose endomorphism ring End
(MR… The volume deals with the objects A of A whose endomorphism ring EndA (A) is semilocal. …

… indecomposable left and right artinian rings, either all simple modules are finite or have the
… noetherian semiperfect rings. We further show that all their endomorphism rings have the …

… Moreover, the author [10] studied semiperfect rings and perfect rings via modules having …
-projective modules and their endomorphism rings. It is shown that a ring R is a semilocal ring if …

… rings and their relation to endomorphism rings of modules, in particular maximal Cohen-Macaulay
modules and reflexive modules… rings the maximal ideal m is isomorphic to its dual m ∗ …

… endomorphism-extendable modules, automorphism-extendable modules, \(\pi\)-injective
modules, endomorphism-… The notion of an automorphism-liftable module is dual to the notion of …