3 papers
math.RA2025
Rings whose mininjective modules are injective
Yusuf Alagöz, Sinem Benli-Göral, Engin BüyükaÅık +2
The main goal of this paper is to characterize rings over which the mininjective modules are injective, so that the classes of mininjective modules and injective modules coincide.…
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…