We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …

In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …

Ar-module M is said to be Hopfian (respectively Co-Hopfian) in case any surjective
(respectively injective) R-homomorphism is automatically an isomorphism. In this paper we …

Let R be a ring and I an ideal of R. We define and study I-pure submodules, I-FP-injective
modules, I-flat modules, I-coherent rings and I-semihereditary rings. Using the concepts of I …

An R-module M is called strongly FP-injective if Ext R i (P, M)= 0 for any finitely presented R-
module P and any i> 0. Denoted by SFI the class of all strongly FP-injective R-modules and …

We introduce and investigate ss-injectivity as a generalization of both soc-injectivity and
small injectivity. A module M is said to be ss-N-injective (where N is a module) if every R …

A ring extension is a ring homomorphism preserving identities. In this article, we establish
the relationship among relatively flat modules, relatively projective modules and relatively …

Let R be a ring and M a left R-module. M which satisfies DCC on essential submodules is
GCH, and M which satisfies ACC on small submodules is WH. If M [X] is GCH R [X]-module …

In this paper, we dualize the concept of {\Sigma}-Rickart modules as {\Sigma}-dual Rickart
modules. An R-module M is said to be {\Sigma}-dual Rickart if the direct sum of arbitrary …

In this paper, we study the class of rings in which every flat ideal is finitely generated. We
investigate the stability of this property under localization and homomorphic image, and its …