Dualities from iterated tilting

B Huisgen-Zimmermann - Israel Journal of Mathematics, 2021 - Springer
First a duality theory is developed for arbitrary finite-dimensional algebras Λ and Λ′. It
provides a characterization of the contravariant equivalences which link resolving …

Resolving dualities and applications to homological invariants

H Chen, J Hu - arXiv preprint arXiv:2209.11627, 2022 - arxiv.org
Dualities of resolving subcategories of finitely generated modules over Artin algebras are
characterized as dualities with respect to Wakamatsu tilting bimodules. By restriction of …

Contravariant finiteness and iterated strong tilting

B Huisgen-Zimmermann, Z Nazemian… - Algebras and …, 2023 - Springer
Abstract Let P<∞(Λ-mod) be the category of finitely generated left modules of finite
projective dimension over a basic Artin algebra Λ. We develop a widely applicable criterion …