An R-module M is called Ding projective if there exists an exact sequence⋯→ P1→ P0→
P0→ P1→⋯ of projective R-modules with M= Ker (P0→ P1) such that Hom (-, F) leaves the …

Abstract A module M_R is called Pseudo PQ-injective (or PPQ-injective for short) if every
monomorphism from a principal submodule of M to M extends to an endomorphism of M …

The concept of right Rickart rings (or right pp rings) has been extensively studied in the
literature. In this article, we study the notion of Rickart modules in the general module …

In this paper, the notions of nonnil-injective modules and nonnil-FP-injective modules are
introduced and studied. Especially, we show that a $\phi $-ring $ R $ is an integral domain if …

In this paper, we characterize-Noetherian rings and SM rings. More precisely, in terms of the-
operation on a commutative ring, we prove that is-Noetherian if and only if the direct limit of …

Given a flat local ring homomorphism R → SR→ S and two finitely generated R-modules M
and N, we describe conditions under which the modules\rm Tor^ R _ i (M, N) Tor i R (M, N) …

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 …

The concept of subflat domain is used to measure how close (or far away) a module is to be
flat. A right module is flat if its subflat domain is the entire class of left modules. In this note …

A module is said to be P–projective if it is a cokernel of a projective preenvelope. We first
obtain a number of characterizations of P–projectivity. Then we study when the exactness of …

In this paper, we introduce the notion of fpn-injective and fpn-flat modules, and investigate
their properties. In particular, we prove that every left R-module has an fpn-injective cover …