S-FP-injective modules

Driss Bennis; Ayoub Bouziri

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arXiv · 2410.00167

S-FP-injective modules

Driss Bennis·Ayoub Bouziri

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Abstract

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 show that, under certain conditions, a ring R is S-Noetherian if and only if every S-FP-injective R-module is S-injective. Moreover, we establish, under certain conditions, counterparts of Matlis, Stenstr\"om and Cheatham-Stone's characterizations of S-coherent rings.

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Driss Bennis, Ayoub Bouziri. 2024-09-30. S-FP-injective modules. https://arxiv.org/abs/2410.00167

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