Discrete (quasi-discrete) modules form an important class in module theory, they are studied
extensively by many authors. The class of lifting modules is obtained by considering only …

Let 𝑅 be an arbitrary ring with identity and 𝑀 a right 𝑅-module. In this paper, we introduce a
class of modules which is analogous to that of Goldie*-lifting and principally Goldie*-lifting …

Let R be a ring with identity and M is a unitary left R–module. M is called J–lifting module if
for every submodule N of M, there exists a submodule K of N such that ${\rm {M}}={\rm …

Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

Following, a ring R is called right almost-perfect if every flat right R-module is projective
relative to R. In this article, we continue the study of these rings and will find some new …

Let R be a ring with identity and let be a finite direct sum of relatively protective R-modules
Mi Then it is proved that M is lifting if and only if M is amply supplemented and Mi is lifting for …

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

In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …

ON N-COHERENT RINGS, N-HEREDITARY RINGS AND N-REGULAR RINGS Page 1 Archive
of SID Bulletin of the Iranian Mathematical Society Vol. 37 No. 4 (2011), pp 251-267. ON …

A submodule N of a module M is called D D-closed if the socle of M/N is zero. D D-closed
submodules are similar to S S-closed submodules (a generalization of closed submodules) …