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Bibliographic Details
Main Author: Šťovíček, Jan
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.03440
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author Šťovíček, Jan
author_facet Šťovíček, Jan
contents We investigate the relation between partial silting modules, Gabriel topologies, and ring epimorphisms, with a particular emphasis on commutative rings. We show that a ring epimorphism of commutative rings is flat if and only if it is a silting ring epimorphism.
format Preprint
id arxiv_https___arxiv_org_abs_2510_03440
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Flat epimorphisms and silting epimorphisms coincide for commutative rings
Šťovíček, Jan
Rings and Algebras
Representation Theory
13B40 (Primary), 16D40, 16S90 (Secondary)
We investigate the relation between partial silting modules, Gabriel topologies, and ring epimorphisms, with a particular emphasis on commutative rings. We show that a ring epimorphism of commutative rings is flat if and only if it is a silting ring epimorphism.
title Flat epimorphisms and silting epimorphisms coincide for commutative rings
topic Rings and Algebras
Representation Theory
13B40 (Primary), 16D40, 16S90 (Secondary)
url https://arxiv.org/abs/2510.03440