Tilting theory in exact categories
J Sauter - arXiv preprint arXiv:2208.06381, 2022 - arxiv.org
… We define tilting subcategories in arbitrary exact categories to archieve the following. Firstly:
… of tilting subcategories to arbitrary exact categories. Discuss standard results for tilting …
… of tilting subcategories to arbitrary exact categories. Discuss standard results for tilting …
∞-tilting theory
L Positselski, J Šťovíček - Pacific Journal of Mathematics, 2019 - msp.org
… a theory of big tilting and cotilting objects of possibly infinite homological dimension in abelian
categories. … Finally, in the role of our abelian category B, Enomoto has an exact category …
categories. … Finally, in the role of our abelian category B, Enomoto has an exact category …
Tilting theory and functor categories III. The Maps Category
R Martínez-Villa, M Ortiz-Morales - arXiv preprint arXiv:1101.4241, 2011 - arxiv.org
… We will provide maps(c) with a structure of exact category such that, tilting subcategories
of mod(c) will correspond to relative tilting subcategories of maps(c). We begin the section …
of mod(c) will correspond to relative tilting subcategories of maps(c). We begin the section …
Tilting theory and functor categories I. Classical tilting
R Martínez-Villa, M Ortiz-Morales - Applied categorical structures, 2014 - Springer
… tilting theory to arbitrary functor categories, having in mind applications to the functor category
… the functor C(Ti, ) to the above exact sequence to obtain by the long exact sequence an …
… the functor C(Ti, ) to the above exact sequence to obtain by the long exact sequence an …
Tilting theory and functor categories II. Generalized Tilting
R Martínez-Villa, M Ortiz-Morales - Applied categorical structures, 2013 - Springer
… By applying HomZ( ,Q/Z) to the bottom sequence and by comparing it with the exact sequence
above we obtain the desired isomorphism. To prove the naturality of the isomorphism we …
above we obtain the desired isomorphism. To prove the naturality of the isomorphism we …
Exact categories and infinite tilting
W Rump - Communications in Algebra, 2021 - Taylor & Francis
… In this article we show that all kinds of tilting arise from a special class of exact categories (in
… we call tilting categories. For an n-tilting module [Citation4, Citation12], the associated tilting …
… we call tilting categories. For an n-tilting module [Citation4, Citation12], the associated tilting …
[PDF][PDF] RELATIVE TILTING THEORY IN ABELIAN CATEGORIES II: nX-TILTING THEORY
A ARGUDÍN-MONROY… - arXiv preprint arXiv …, 2021 - researchgate.net
… that can be embedded nicely in an abelian category. In particular, we will show … tilting
theory in exact categories built this way, coincides with tilting objects in extriangulated categories …
theory in exact categories built this way, coincides with tilting objects in extriangulated categories …
[PDF][PDF] Derived categories and tilting
B Keller - London Mathematical Society Lecture Note Series, 2007 - academia.edu
… exact adjoint functors between two abelian categories induces a pair of adjoint functors
between their derived categories… This generalizes an idea first used in tilting theory by Vossieck […
between their derived categories… This generalizes an idea first used in tilting theory by Vossieck […
[HTML][HTML] Classifying exact categories via Wakamatsu tilting
H Enomoto - Journal of Algebra, 2017 - Elsevier
… exact categories is fundamental in the representation theory of algebras, such as the tilting
theory in derived categories … kinds of exact categories as U ⊥ among all exact categories by …
theory in derived categories … kinds of exact categories as U ⊥ among all exact categories by …
Tilting categories with applications to stratifying systems
… Inspired by them, we introduce the notion of tilting category in order to give a unified approach
of … The main property that we will use is the existence of the exact sequences given by the …
of … The main property that we will use is the existence of the exact sequences given by the …
相关搜索
- relative tilting theory in abelian categories
- quotients of exact categories
- reiten duality exact category
- auslander's formula exact categories
- abelian categories tilting objects
- extriangulated categories tilting subcategories
- tilting complexes perpendicular categories
- silting theory triangulated categories
- morita theory derived categories
- generalized auslander exact category
- tilting complexes derived module categories