Strongly $n$-AIR-tilting modules

Fuente: arXiv
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Auteurs principaux: Cao, Weiqing, Wei, Jiaqun
Format: Preprint
Publié: 2024
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author Cao, Weiqing
Wei, Jiaqun
author_facet Cao, Weiqing
Wei, Jiaqun
contents We introduce the notion of (strongly) $n$-AIR-tilting modules, which is a high dimension version of support $τ$-tilting modules. The relations between them and $n$-silting modules and $n$-quasi-tilting modules, as well as generalized two-term silting complexes, are investigated. Our results particularly suggest a way to negate the rank question for silting complexes.
format Preprint
id arxiv_https___arxiv_org_abs_2402_17477
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strongly $n$-AIR-tilting modules
Cao, Weiqing
Wei, Jiaqun
Representation Theory
We introduce the notion of (strongly) $n$-AIR-tilting modules, which is a high dimension version of support $τ$-tilting modules. The relations between them and $n$-silting modules and $n$-quasi-tilting modules, as well as generalized two-term silting complexes, are investigated. Our results particularly suggest a way to negate the rank question for silting complexes.
title Strongly $n$-AIR-tilting modules
topic Representation Theory
url https://arxiv.org/abs/2402.17477