5 papers · 1 filter
On the -version of some special elements in commutative rings
D. Bennis, A. Bouziri, S. D. Kumar +1
In this paper, we introduce and study the -versions of several fundamental elements in commutative rings. Specifically, for a commutative ring with identity and a multiplica…
On -injective modules
Driss Bennis, Ayoub Bouziri
Let be a commutative ring with identity, and let be a multiplicative subset of . In this paper, we introduce the notion of -injective modules as a weak version of inj…
S-FP-injective modules
Driss Bennis, Ayoub Bouziri
Let R be a commutative ring, and let S be a multiplicative subset of R. In this paper, we introduce and investigate the notion of S-FP-injective modules. Among other results, we sh…
S-flat cotorsion pair
Driss Bennis, Ayoub Bouziri
Let be a commutative ring, and let be a multiplicative subset of . In this paper, we investigate the notion of -cotorsion modules. An -module is called -cot…
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…