Let ${P_R} $ be a projective module with trace ideal $ T $. An $ R $-module ${X_R} $ is $ T
$-accessible if $ XT= X.{\text {If}}{P_R} $ is finitely generated projective and $ C $ is the $ R …

Endomorphism rings and the category of finitely generated projective modules Page 1
COMMLTNICATIONS IN ALGEBRA, 28(8), 3837-3 852 (2000) Endomorphism rings and the …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

We studied almost relative projective modules and almost relative injective modules in [3, 6,
7]. In this short note we define a new module, an almost projective (resp. almost injective) …

This paper investigates two related problems. The first is to describe the double centralizer
of an arbitrary projective right R-module. This proves to be the ring of left quotients of R with …

Does Hopkins' theorem extend to projective modules, ie, are projective Artinian modules
Noetherian? An example is given to answer this question in the negative; however, we show …

Endomorphism rings of projective and quasiprojective modules (and in particular the
problem of finding conditions on a module for its endomorphism ring to have a certain …

It is proved that a module M over a commutative noetherian ring R is injective if Ext _ R^ i
((R/\mathfrak p) _\mathfrak p, M)= 0 Ext R i ((R/p) p, M)= 0 holds for every i\geqslant 1 i⩾ 1 …

Let A be a right order in a semisimple ring $\Sigma,{M_A} $ be a finite-dimensional
torsionless right A-module and ${\hat M_A} $ be the injective hull of M. JM Zelmanowitz has …

Cukerman [2], Shanny [5], and Ware [7] have shown that a ring R is Artin semisimple if and
only if R has a nonfinitely generated free module with regular endomorphism ring. This …