Partial silting objects and smashing subcategories
نویسندگان
چکیده
منابع مشابه
Smashing Subcategories and the Telescope
We give a new characterization of smashing subcategories in a compactly generated triangulated category and prove a modiied version of Ravenel's telescope conjecture in this setting. Our results apply in particular to the stable homotopy category. Our approach, however, is purely algebraic; it is based on an analysis of pure injective objects in a compactly generated triangulated category.
متن کاملSmashing Subcategories and the Telescope Conjecture – an Algebraic Approach
We prove a modified version of Ravenel’s telescope conjecture. It is shown that every smashing subcategory of the stable homotopy category is generated by a set of maps between finite spectra. This result is based on a new characterization of smashing subcategories, which leads in addition to a classification of these subcategories in terms of the category of finite spectra. The approach presen...
متن کاملSILTING 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 کاملFakultät für Elektrotechnik , Informatik und Mathematik Subcategories of Triangulated Categories and the Smashing Conjecture
In this thesis the global structure of three classes of algebraic triangulated categories is investigated by describing their thick, localizing and smashing subcategories and by analyzing the Smashing Conjecture. We show that the Smashing Conjecture for the stable module category of a self-injective artin algebra A is equivalent to the statement that a class of model categories associated with ...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2019
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-019-02450-2