In this paper we extend the concept of fusibility to the module theoretic setting by introducing
fusible modules. Let $ R $ be a ring with identity, $ M $ a right $ R $-module and $0\neq m\in …

In this paper, we introduce the notions of FI-semisimple, FI-t-semisimple and strongly FI-t-
semisimple modules. This is a generalization of semisimple modules. Many results …

We introduce and investigate the class of AL-Simple Modules. This class strictly contains
endosimple modules. Also we introduce and investigate the class of AL-semisimple …

In this paper, we introduce the notion of FI-retractable modules which is a generalization of
retractable modules. A module is called FI-retract-able if for every nonzero fully invariant …

A module MR is called pseudo FQ-injective (or PFQ-injective for short) if every
monomorphism from a finitely generated submodule of M to M extends to an endomorphism …

Pure projective, pure injective and FP-injective modules over trivial ring extensions Page 1
Accepted manuscript to appear in IJAC Accepted Manuscript International Journal of Algebra and …

In this paper, first we give the definition of F-copartial morphisms with an additive exact
substructure F of an exact structure E in an additive category A. Then, we study many …

Recall that a left module A (resp. right module B) is said to be singly injective (resp. singly
flat) if Ext^ 1 _ R (F/K, A)= 0 E xt R 1 (F/K, A)= 0 (resp. Tor _ 1^ R (B, F/K)= 0 Tor 1 R (B, F/K) …

In this paper we generalize the notion of pure injectivity of modules by introducing what we
call a pure Baer injective module. Some properties and some characterization of such …