Pith. sign in

REVIEW 1 cited by

S-FP-injective modules

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2410.00167 v1 pith:ZWEFDVKD submitted 2024-09-30 math.AC

Driss Bennis , Ayoub Bouziri This is my paper · ORCID
classification math.AC
keywords s-fp-injectivecertainconditionsmodulesringundercharacterizationscheatham-stone
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Some new module-theoretic characterizations of $S$-coherent rings

    math.AC 2024-11 conditional novelty 4.0 of 10

    S-coherent rings are characterized via s-absolutely pure modules, s-pure quotients, and s-flatness of products of flat modules.

Pith tools