English

Strongly $n$-AIR-tilting modules

Representation Theory 2024-02-28 v1

Abstract

We introduce the notion of (strongly) nn-AIR-tilting modules, which is a high dimension version of support τ\tau-tilting modules. The relations between them and nn-silting modules and nn-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.

Keywords

Cite

@article{arxiv.2402.17477,
  title  = {Strongly $n$-AIR-tilting modules},
  author = {Weiqing Cao and Jiaqun Wei},
  journal= {arXiv preprint arXiv:2402.17477},
  year   = {2024}
}
R2 v1 2026-06-28T15:01:53.185Z