2024/02/27 by Weiqing Cao, Jiaqun Wei, Cao, Weiqing +1
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2402.17477
openalex publication_date 2024/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.