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 …

In this paper, we first define the notion of $\mathcal {F} $-cosmall quotient for an additive
exact substructure $\mathcal {F} $ of an exact structure $\mathcal {E} $ in an additive …

In this paper, we introduce a class of exact structures in terms of finiteness conditions of
modules, which are called n-pure exact structures. We investigate the properties of n-pure …

Some Relations Between Crossed Modules and Simplicial Objects in Categories of Interest
Page 1 EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 7, No. 4, 2014 …

In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most …

Let A and B be modules, which are faithfully flat over their endomorphism ring. The
categories of A-solvable and B-solvable modules coincide if and only if A and B are similar …

Equivalences and Dualities between FCI and FGP Modules 1 Introduction Page 1 International
Journal of Algebra, Vol. 3, 2009, no. 19, 911 - 918 Equivalences and Dualities between FCI …

We prove that pure morphisms of commutative rings are effective A-descent morphisms
where A is a (COMMUTATIVE RINGS) op-indexed category given by (i) finitely generated …

For a ring A, an extension ring B, a fixed right A-module M, the endomorphism ring D formed
by M, the endomorphism ring E formed by AMB⊗, and the endomorphism ring F formed by …

The aim of this paper is to study a property of a special kind of exact functors and give some
applications to projective modules and injective modules. In section 1 we introduce the …