Self-injective and PF endomorphism rings Page 1 ISRAEL JOURNAL OF MATHEMATICS, Vol.
58, No. 3, 1987 SELF-INJECTIVE AND PF ENDOMORPHISM RINGS BY JL GARCiA …

We provide some characterizations of rings R for which every (finitely generated) module
belonging to a class C of R-modules is a direct sum of cyclic submodules. We focus on the …

All rings will be commutative with identity. A module M is called Π-semiartinian if the direct
product MI is a semiartinian module for every nonempty set I. A ring R is said to be Π …

In the paper [4], the author introduced the notion of m-adic free modules in order to give a
differential characterization of regular local rings. Later, more generally, A. Grothendieck …

In this paper, the" relative" version of semi-projectivity is considered. Let M and N be
modules. N is called M-semi-projective, if any homomorphism from N to an M-cyclic …

Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …

Let $ C $ be a semidualizing module over a commutative Noetherian local ring $ R $. In this
paper we introduce a new class of modules, namely $ C $-canonical modules which are a …

In this note, we consider certain generalizations of injectivity and p-injectivity in connection
with von Neumann regular rings, self-injective regular rings, II-regular rings, semi-simple …

A right R-module M is called R-projective provided that it is projective relative to the right R-
module R. One of the parts of this thesis deals with the rings whose all nonsingular right …

Let $ R $ be a commutative ring. An $ R $-module $ M $ is said to be $ w $-split if Ext $ _
{R}^ 1 (M, N) $ is a GV-torsion $ R $-module for all $ R $-modules $ N $. It is known that …