Introduction. The aim of this paper is to study conditions which reflect the projectivity of a
given finitely generated flat module over a commutative ring. The use of the invariant factors …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …

Ring Ouasi-Frobenius? Page 1 oURNAL OF ALGEBRA 165, 531–542 (1994) When Is a Self-Injective
Semiperfect Ring Ouasi-Frobenius? JOHN CLARK Department of Mathematics and Statistics …

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) …

Finitely Presented Modules over Right Non-Singular Rings. Page 1 REND. SEM. MAT. UNIV.
PADOVA, Vol. 120 2008) Finitely Presented Modules over Right Non-Singular Rings. ULRICH …

A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

We show that the class of rings with flat socles is closed under the formation of polynomial
extensions, direct products, and excellent extensions. We also point out that if a ring R can …

Lazard showed this for n= 0 (see [10], Theorem 3.3). In Section 2 we shall consider the
following problem:“When bf--generated flat modules admit N-generated projective …

Left perfect rings (ie rings over which all flat left modules are projective) were characterized
by Bass [I] as those having the descending chain condition on principal right ideals. Around …