Classifying preaisles of derived categories of complete intersections
R Takahashi - arXiv preprint arXiv:2309.06074, 2023 - arxiv.org
Let $ R $ be a commutative noetherian ring. Denote by $\operatorname {mod} R $ the
category of finitely generated $ R $-modules, by $\operatorname {D^ b}(R) $ the bounded …
category of finitely generated $ R $-modules, by $\operatorname {D^ b}(R) $ the bounded …
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 …
characterized as dualities with respect to Wakamatsu tilting bimodules. By restriction of …
Dualities for modules of finite projective dimension
B Huisgen-Zimmermann, M Saorín - Advances in Representation …, 2021 - books.google.com
The purpose of this article is threefold: The first is to provide an overview of old and recent
findings which relate finite dimensional tilting modules over a finite dimensional algebra Λ to …
findings which relate finite dimensional tilting modules over a finite dimensional algebra Λ to …
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 …
projective dimension over a basic Artin algebra Λ. We develop a widely applicable criterion …
[PDF][PDF] CLASSIFYING RESOLVING SUBCATEGORIES OF DERIVED CATEGORIES
RYO TAKAHASHI - s-murai.w.waseda.jp
A thick subcategory of a triangulated category is a full triangulated subcategory closed under
direct summands. Classifying thick subcategories of a triangulated category has been one of …
direct summands. Classifying thick subcategories of a triangulated category has been one of …