# t-structures via recollements for piecewise hereditary algebras

@article{Liu2011tstructuresVR,
title={t-structures via recollements for piecewise hereditary algebras},
author={Qunhua Liu and Jorge Vit'oria},
journal={Journal of Pure and Applied Algebra},
year={2011},
volume={216},
pages={837-849}
}
• Published 12 March 2011
• Mathematics
• Journal of Pure and Applied Algebra
10 Citations
Derived simple algebras and restrictions of recollements of derived module categories
• Mathematics
• 2013
‡ Abstract. Recollements of derived module categories are investigated. First, some known results on homological dimensions of algebras appearing in a recollement are complemented and extended and
Bounded t-Structures on the Bounded Derived Category of Coherent Sheaves over a Weighted Projective Line
• Chaoyi Sun
• Mathematics
Algebras and Representation Theory
• 2019
We use recollement and HRS-tilt to describe bounded t-structures on the bounded derived category $\mathcal{D}^b(\mathbb{X})$ of coherent sheaves over a weighted projective line $\mathbb{X}$ of
A Simultaneous Generalization of Mutation and Recollement of Cotorsion Pairs on a Triangulated Category
• H. Nakaoka
• Mathematics
Appl. Categorical Struct.
• 2018
The notion of concentric twin cotorsion pair on a triangulated category is introduced, which contains the notions of t-structure, cluster tilting subcategory, co-t-st structure and functorally finite rigid subcategory as examples.
A simultaneous generalization of mutation and recollement on a triangulated category
In this article, we introduce the notion of {\it concentric twin cotorsion pair} on a triangulated category. This notion contains the notions of $t$-structure, cluster tilting subcategory,
t-structures on hereditary categories
• Mathematics
Mathematische Zeitschrift
• 2018
We study aisles, equivalently t-structures, in the derived category of a hereditary abelian category. Given an aisle, we associate a sequence of subcategories of the abelian category by considering
ALGEBRAIC STRATIFICATIONS OF DERIVED MODULE CATEGORIES AND DERIVED SIMPLE ALGEBRAS
In this note I will survey on some recent progress in the study of recollements of derived module categories.
Gluing Silting Objects
• Mathematics
Nagoya Mathematical Journal
• 2014
Abstract Recent results by Keller and Nicolás and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and cot-structures with certain objects of the
Glueing silting objects
• Mathematics
• 2012
Recent results by Keller and Nicol{\'a}s and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and co-t-structures with certain objects of the derived

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