A short proof of HRS-tilting
XW Chen - Proceedings of the American Mathematical Society, 2010 - ams.org
A SHORT PROOF OF HRS-TILTING 1. Introduction Let A be an abelian category. Recall that
a torsion pair on A is a pair (T , F ) of Page 1 PROCEEDINGS OF THE AMERICAN …
a torsion pair on A is a pair (T , F ) of Page 1 PROCEEDINGS OF THE AMERICAN …
Tilting theory and functor categories II. Generalized Tilting
R Martínez-Villa, M Ortiz-Morales - Applied categorical structures, 2013 - Springer
In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors Mod(C), from a skeletally small preadditive category C to the category …
contravariant functors Mod(C), from a skeletally small preadditive category C to the category …
-quasi-abelian categories vs -tilting torsion pairs
L Fiorot - Documenta Mathematica, 2021 - ems.press
N-Quasi-Abelian Categories vs N-Tilting Torsion Pairs Page 1 Documenta Math. 149 N-Quasi-Abelian
Categories vs N-Tilting Torsion Pairs With an Application to Flops of Higher Relative Dimension …
Categories vs N-Tilting Torsion Pairs With an Application to Flops of Higher Relative Dimension …
𝜏-tilting theory in abelian categories
Y Liu, P Zhou - Proceedings of the American Mathematical Society, 2022 - ams.org
Let $\mathcal {A} $ be a Hom-finite abelian category with enough projectives. In this note,
we show that any covariantly finite $\tau $-rigid subcategory is contained in a support $\tau …
we show that any covariantly finite $\tau $-rigid subcategory is contained in a support $\tau …
[HTML][HTML] Silting theory in triangulated categories with coproducts
We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …
Derived equivalences induced by nonclassical tilting objects
Suppose that $\mathcal {A} $ is an abelian category whose derived category $\mathcal
{D}(\mathcal {A}) $ has $ Hom $ sets and arbitrary (small) coproducts, let $ T $ be a (not …
{D}(\mathcal {A}) $ has $ Hom $ sets and arbitrary (small) coproducts, let $ T $ be a (not …
Tilting theory and functor categories III. The Maps Category
R Martínez-Villa, M Ortiz-Morales - arXiv preprint arXiv:1101.4241, 2011 - arxiv.org
In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …
On the heart of a faithful torsion theory
R Colpi, E Gregorio, F Mantese - Journal of Algebra, 2007 - Elsevier
In [R. Colpi, KR Fuller, Tilting objects in abelian categories and quasitilted rings, Trans.
Amer. Math. Soc., in press] tilting objects in an arbitrary abelian category H are introduced …
Amer. Math. Soc., in press] tilting objects in an arbitrary abelian category H are introduced …
Tilting objects in abelian categories and quasitilted rings
R Colpi, K Fuller - Transactions of the American Mathematical Society, 2007 - ams.org
D. Happel, I. Reiten and S. Smalø initiated an investigation of quasitilted artin $ K $-algebras
that are the endomorphism rings of tilting objects in hereditary abelian categories whose …
that are the endomorphism rings of tilting objects in hereditary abelian categories whose …
[HTML][HTML] Derived equivalences via HRS-tilting
Let A be an abelian category and B be the Happel-Reiten-Smalø tilt of A with respect to a
torsion pair. We give necessary and sufficient conditions for the existence of a derived …
torsion pair. We give necessary and sufficient conditions for the existence of a derived …