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math.AC2024

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…

math.AC2024

The strongly flat dimension of modules and rings

Ayoub Bouziri

Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Positselski and Slávik introduced the concepts of S-strongly flat modules and S-weakly cotorsi…

math.AC2024

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…

math.AC2024

When every S-flat module is (flat) projective

Driss Bennis, Ayoub Bouziri

Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this paper is to study the class of commutative rings in which every S-flat module is flat…

math.AC2024

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…