3 papers
math.RA2024
Model structures, n-Gorenstein flat modules and PGF dimensions
Rachid El Maaouy
Given a non-negative integer and a ring with identity, we construct an abelian model structure on the category of left -modules where the class of cofibrant objects coin…
math.AC2024
Relative weak global Gorenstein dimension, AB-contexts and model structures
Driss Bennis, Rachid EL Maaouy, Juan Ramon Garcia Rozas +1
In this paper we introduce and study the weak Gorenstein global dimension of a ring with respect to a left -module . We provide several characterizations of when this hom…
math.RA2024
Relative Gorenstein flat modules and Foxby classes and their model structures
Driss Bennis, Rachid El Maaouy, Juan Ramón GarcÃa Rozas +1
A model structure on a category is a formal way of introducing a homotopy theory on that category, and if the model structure is abelian and hereditary, its homotopy category is kn…