Title of article
ON SOME MONIC COVERS AND EPIC ENVELOPES
Author/Authors
Crivei, Septimiu “Babes-Bolyai” University - Faculty of Mathematics and Computer Science, Romania , Torrecillas, Blas Universidad de Almeria - Departamento de Algebra y Analisis, Spain
From page
123
To page
135
Abstract
We establish equivalent conditions under which every object in an Abelian category has a monic X -cover and an epic X -envelope respectively, when X is a class of objects closed under extensions and, more particularly, an n-th Ext-orthogonal class of a given class of objects. We give applications to categories of modules and comodules.
Keywords
cover , envelope , cotorsion pair
Journal title
The Arabian Journal for Science and Engineering
Journal title
The Arabian Journal for Science and Engineering
Record number
2578193
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