## 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

- MathematicsAlgebras 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

- MathematicsAppl. 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

- Mathematics
- 2015

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

- MathematicsMathematische 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

- Mathematics
- 2012

In this note I will survey on some recent progress in the study of recollements of derived module categories.

Gluing Silting Objects

- MathematicsNagoya 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…

## References

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t-structures in the derived category of representations of quivers

- Mathematics
- 1988

Given a finite quiver without oriented cycles, we describe a family of algebras whose module category has the same derived category as that of the quiver algebra. This is done in the more general…

Nondegeneration and Boundedness of t-structure Induced by Recollement

- Mathematics
- 2006

According to the conclusion of Beilinson A,Bernstein J,Deligne P,if there is a Recollement about three triangulated categories,the t-structures on the triangulated categories of the both ends of the…

t-stabilities and t-structures on triangulated categories

- Mathematics
- 2004

We suggest a new concept of t-stability in a triangulated category. It generalizes the stability data introduced by Bridgeland [6]. We study some links between t-stabilities and t-structures and…

Weight structures and simple dg modules for positive dg algebras

- Mathematics
- 2010

Using techniques due to Dwyer-Greenlees-Iyengar we construct weight structures in triangulated categories generated by compact objects. We apply our result to show that, for a dg category whose…