Co-retractable modules appeared in 2006 by Clark, Lomp and Vanaja. In this article, we
present and study the relationships between two known concepts namely semi-simple …

ABSTRACT A module M Is said to be weakly projective If and only If It has a projective cover
11": P (M)--+ M and every map from P (M) Into a finitely generated (free) module can be …

We provide new characterizations of pseudo-Frobenius and quasi-Frobenius rings in terms
of tight modules. In the process, we also provide fresh perspectives on FGF and CF …

Introduction. Recently the concept of weakly injective modules due to [ll] has extensively
been studied and used to characterize various rings and modules; see [I-3, 5, 10-14, 16-18 …

In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …

The purpose of this paper is to further the study of weakly injective and weakly tight modules
a generalization of injective modules. A right R-module M is said to be weakly tight (tight) if …

Given a right R-module M, a module QE arM] is said to be weakly injective in arM] if for every
finitely generated submodule N of the M-injective hull Q, N is contained in a submodule Y of …

The purpose of this paper is to further the study of weakly injective and weakly projective
modules as a generalization of injective and projective modules. For a locally qfd module …

A module M is said to be weakly projective iff it has a projective cover π: P (M)-→ M and
every mapping P (M) into a finitely generated module can be factored through M via an …

The aim of the present paper is to introduce and study the dual concepts of weakly
automorphism invariant modules and essential tightness. These notions are non-trivial …