t-Structures and cotilting modules over commutative noetherian rings

L Angeleri Hügel, M Saorín - Mathematische Zeitschrift, 2014 - Springer
For a commutative noetherian ring\(R\), we establish a bijection between the resolving
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …

Hearts of t-structures in the derived category of a commutative Noetherian ring

C Parra, M Saorin - Transactions of the American Mathematical Society, 2017 - ams.org
Let $ R $ be a commutative Noetherian ring and let $\mathcal D (R) $ be its (unbounded)
derived category. We show that all compactly generated t-structures in $\mathcal D (R) …

Parametrizing torsion pairs in derived categories

L Angeleri Hügel, M Hrbek - … Theory of the American Mathematical Society, 2021 - ams.org
We investigate parametrizations of compactly generated t-structures, or more generally, t-
structures with a definable coaisle, in the unbounded derived category $\mathrm …

On compactly generated torsion pairs and the classification of co-𝑡-structures for commutative noetherian rings

J Šťovíček, D Pospíšil - Transactions of the American Mathematical Society, 2016 - ams.org
We classify compactly generated co-$ t $-structures on the derived category of a
commutative noetherian ring. In order to accomplish this, we develop a theory for compactly …

Tilting classes over commutative rings

M Hrbek, J Šťovíček - Forum Mathematicum, 2020 - degruyter.com
We classify all tilting classes over an arbitrary commutative ring via certain sequences of
Thomason subsets of the spectrum, generalizing the classification for noetherian …

Compactly generated t-structures in the derived category of a commutative ring

M Hrbek - Mathematische Zeitschrift, 2020 - Springer
We classify all compactly generated t-structures in the unbounded derived category of an
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …

Singular equivalences to locally coherent hearts of commutative noetherian rings

M Hrbek, S Pavon - Journal of Algebra, 2023 - Elsevier
We show that Krause's recollement exists for any locally coherent Grothendieck category
whose derived category is compactly generated. As a source of such categories, we …

The 𝑡-structure induced by an 𝑛-tilting module

S Bazzoni - Transactions of the American Mathematical Society, 2019 - ams.org
We study the $ t $-structure induced by an $ n $-tilting module $ T $ in the derived category
$\mathcal {D}(R) $ of a ring $ R $. Our main objective is to determine when the heart of the …

[HTML][HTML] Cotilting modules and homological ring epimorphisms

S Bazzoni - Journal of Algebra, 2015 - Elsevier
We show that every injective homological ring epimorphism f: R→ S where SR has flat
dimension at most one gives rise to a 1-cotilting R-module and we give sufficient conditions …

[HTML][HTML] Cotilting modules over commutative noetherian rings

J Šťovíček, J Trlifaj, D Herbera - Journal of pure and applied algebra, 2014 - Elsevier
Recently, tilting and cotilting classes over commutative Noetherian rings have been
classified in [2]. We proceed and, for each n-cotilting class C, construct an n-cotilting module …