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20062026
most citedGlobal Gorenstein dimensions of polynomial rings and of direct products of rings

18 citations · 52 across the 41 of their papers we have counts for

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26 papers · 1 filter

math.AC2026

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…

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

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…

math.AC2023

Partitioning zero-divisor graphs of finite commutative rings into global defensive alliances

Driss Bennis, Brahim El Alaoui

For a commutative ring with identity, the zero-divisor graph of , denoted , is the graph whose vertices are the non-zero zero divisors of with two distinct vertice…