In this paper we study a condition right FGTF on a ring R, namely when all finitely generated
torsionless right R-modules embed in a free module. We show that for a von Neuman …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

This paper is essentially concerned with-injectivity (a generalization of injectivity) and an
analog ous concept which generalizes projectivityИ called-projectivity. Introduction …

Let $ _RU $ be a left R-module whose Morita context is nondegenerate and $ S={\text
{End}}(U) $. We show the following:(1) There is a projectivity (that is, an order-preserving …

Projective modules over the endomorphism ring of a biuniform module - ScienceDirect Skip
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We construct infinite families of pairwise non-isomorphic indecomposable totally reflexive
modules of high multiplicity. Under suitable conditions on the totally reflexive modules M and …

Let R be a commutative semilocal ring and U be the minimal injective cogenerator in the
category of R-modules. If R is almost noetherian, ie, each non-minimal prime ideal of R is …

An R-module M is said to satisfy ACC d (resp. DCC d) on submodules if for every ascending
(resp. descending) chain {M i} of submodules of M, M i= φ i (M i+ 1)(resp. M i+ 1= φ i (M i)) for …

Let be an endomorphism of an arbitrary ring R with identity and let M be a right R-module.
We introduce the notion of-symmetric modules as a generalization of-reduced modules. A …

We make a detailed study of idempotent ideals that are traces of countably generated
projective right modules. We associate to such ideals an ascending chain of finitely …