منابع مشابه
SILTING OBJECTS, t-STRUCTURES AND DERIVED EQUIVALENCES
This note is an extended abstract of my talk given in the conference: “Maurice Auslander Distinguished Lectures and International Conference”, April 29 May 4, 2015. It is based on [6] which is joint work with Jorge Vitória.
متن کاملIntermediate Co-t-structures, Two-term Silting Objects, Τ-tilting Modules, and Torsion Classes
If (A,B) and (A′,B′) are co-t-structures of a triangulated category, then (A′,B′) is called intermediate if A ⊆ A′ ⊆ ΣA. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support τ -tilting subcategories under some assumptions. We also show that support τ -tilting subcategories are in bijection with certain finitely gener...
متن کاملSilting mutation in triangulated categories
In representation theory of algebras the notion of ‘mutation’ often plays important roles, and two cases are well known, i.e. ‘cluster tilting mutation’ and ‘exceptional mutation’. In this paper we focus on ‘tilting mutation’, which has a disadvantage that it is often impossible, i.e. some of summands of a tilting object can not be replaced to get a new tilting object. The aim of this paper is ...
متن کاملOn Silting-discrete Triangulated Categories
The aim of this paper is to study silting-discrete triangulated categories. We establish a simple criterion for silting-discreteness in terms of 2-term silting objects. This gives a powerful tool to prove silting-discreteness of finite dimensional algebras. Moreover, we will show Bongartz-type Lemma for silting-discrete triangulated categories.
متن کاملSilting up of River and Malaria, &c.
The enormous network of rivers comprised in the delta of the Ganges and Brahmaputra frequently furnish examples of the shifting of the beds of streams and the diversion of considerable bodies of water into different channels, with consequent decrease in the flow of others. The general tendency, however, is inevitably to gradual silting up of the smaller rivers by the quantities of alluvium brou...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2019
ISSN: 0024-6093,1469-2120
DOI: 10.1112/blms.12264