$Strongly $n$-AIR-tilting modules$

Strongly $n$-AIR-tilting modules

We introduce the notion of (strongly) $n$-AIR-tilting modules, which is a high dimension version of support $\tau$-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 resul...

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Veröffentlicht in:	arXiv.org 2024-02
Hauptverfasser:	Cao, Weiqing, Jiaqun Wei
Format:	Artikel
Sprache:	eng
Schlagworte:	Modules
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Zusammenfassung:	We introduce the notion of (strongly) $n$-AIR-tilting modules, which is a high dimension version of support $\tau$-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.
ISSN:	2331-8422

Zusammenfassung:	We introduce the notion of (strongly) \(n\)-AIR-tilting modules, which is a high dimension version of support \(\tau\)-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.
ISSN:	2331-8422

Strongly \(n\)-AIR-tilting modules