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math.CT2021
Subprojectivity in abelian categories
Houda Amzil, Driss Bennis, J. R. Garcia Rozas +2
In the last few years, Lopez-Permouth and several collaborators have introduced a new approach in the study of the classical projectivity, injectivity and flatness of modules. This…
math.CT2019
The category of modules on an n-trivial extension: the basic properties
Dirar Benkhadra, Driss Bennis, J. R. Garcia Rozas
In this paper we investigate a categorical aspect of -trivial extension of a ring by a family of modules. Namely, we introduce the right (resp., left) -trivial extension of a…
math.CT2019
On proper and exact relative homological dimensions
Driss Bennis, J. R. Garcia Rozas, Lixin Mao +1
In Enochs' relative homological dimension theory occur the so called (co)resolvent and (co)proper dimensions which are defined using proper and coproper resolutions constructed by…