PROJECTIVE MODULES OVER RINGS WITH MANY UNITS Page 1 proceedings of the
american mathematical society Volume 83, Number 3, November 1981 PROJECTIVE MODULES …

In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

A note on modules over regular rings Page 1 BULL. AUSTRAL. MATH. SOC. MOS I6A30,
I6A52, I6A50 VOL.- 4 ( 1971 ), 57-62. A note on modules over regular rings KM Rangaswamy …

In [3], Bass has shown that a ring R is left perfect if and only if every flat left R-module is
projective and if and only if R satisfies the descending chain condition on principal right …

Several characterizations are given of (Zelmanowitz) regular modules among the torsionless
modules, the locally projective modules, the nonsingular modules, and modules where …

We survey recent progress on the realization problem for von Neumann regular rings, which
asks whether every countable conical refinement monoid can be realized as the monoid of …

Introduction. Throughout the paper, R is a ring with identity and right socle S, 3= R/S, and all
modules are right unital modules unless mentioned otherwise. Over the years several …

A right $ R $-module $ M $ is called $ R $-projective provided that it is projective relative to
the right $ R $-module $ R_ {R} $. This paper deals with the rings whose all nonsingular …

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 …

One can try to generalize this result to (unital left) modules A over a ring with 1, by replacing
torsion-freeness and freeness by flatness and projectivity, respectively. One naturally …