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 کاملOn fixpoint objects and gluing constructions
This article 1 has two parts: In the rst part, we present some general results about xpoint objects. The minimal categorical structure required to model soundly the equational type theory which combines higher order recursion and computation types (introduced by 4]) is shown to be precisely a let-category possessing a xpoint object. Functional completeness for such categories is developed. We a...
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.
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2014
ISSN: 0027-7630,2152-6842
DOI: 10.1215/00277630-2847151