Filtrations in abelian categories with a tilting object of homological dimension two (original) (raw)

Relative tilting theory in abelian categories II: nnn-$\mathcal{X}$-tilting theory

Octavio Mendoza Hernandez

arXiv (Cornell University), 2021

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Intermediate co- t -structures, two-term silting objects, τ -tilting modules, and torsion classes

Osamu Iyama, Dong Yang

Algebra & Number Theory, 2014

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Tilting Preenvelopes and Cotilting Precovers in General Abelian Categories

Carlos Parra

Algebras and Representation Theory

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Derived Categories and Tilting

Bernhard Keller

2004

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Tilting objects in abelian categories and quasitilted rings

Riccardo Colpi

TRANSACTIONS-AMERICAN MATHEMATICAL …, 2007

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Tilting objects in abelian categories and quasitiled rings

Riccardo Colpi

Transactions of the American Mathematical Society, 2007

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Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes

Jan Trlifaj, Riccardo Colpi, Alberto Tonolo

Journal of Pure and Applied Algebra, 2007

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Split t-structures and torsion pairs in hereditary categories

Sonia Trepode

Journal of Algebra and Its Applications

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On abelian 2-categories and derived 2-functors

Teimuraz Pirashvili

arXiv (Cornell University), 2010

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Introduction to abelian and derived categories

Bernhard Keller

Representations of Reductive Groups, 1998

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The completion of ddd-abelian categories

Alireza Nasr-Isfahani

arXiv (Cornell University), 2022

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Derived Equivalence induced by nnn-tilting modules

Francesca Mantese

2009

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A torsion theory for abelian categories

Spencer E Dickson

Transactions of The American Mathematical Society, 1966

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Derived categories and their applications

Andrea Solotar

Revista de la Unión Matemática …, 2007

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Tilting modules and cellular categories

Henning Haahr-Andersen

Journal of Pure and Applied Algebra, 2020

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Derived equivalence induced by infinitely generated nnn-tilting modules

Francesca Mantese

Proceedings of the American Mathematical Society, 2011

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Tilting and trivial extensions

Wolfgang Rump

Archiv der Mathematik, 2009

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One Dimensional Tilting Modules are of Finite Type

Silvana Bazzoni, Dolors Herbera

Algebras and Representation Theory, 2008

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The Heart of a t-Structure Induced by a n-Tilting Module

Silvana Bazzoni

Trends in Mathematics, 2016

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Torsion Pairs in Categories of Modules over a Preadditive Category

Manuel Saorín

Bulletin of the Iranian Mathematical Society

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Recollements from partial tilting complexes

Silvana Bazzoni

Journal of Algebra, 2013

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When the heart of a faithful torsion pair is a module category

Riccardo Colpi, Francesca Mantese, Alberto Tonolo

Journal of Pure and Applied Algebra, 2011

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On relative derived categories

Payam Bahiraei

arXiv (Cornell University), 2013

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From recollements of abelian categories to recollements of triangulated categories

Rongmin Zhu

arXiv: Rings and Algebras, 2020

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Equivalences induced by infinitely generated tilting modules

Silvana Bazzoni

Proceedings of the American Mathematical Society, 2009

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Split objects with respect to a fully invariant short exact sequence in abelian categories

Derya Keskin K Tütüncü

Rendiconti del Seminario Matematico della Università di Padova, 2022

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From triangulated categories to abelian categories: cluster tilting in a general framework

Bin Zhu

Mathematische Zeitschrift, 2008

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Tensor ideals in the category of tilting modules

Victor Ostrik

Transformation Groups, 1997

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Fe b 20 20 TILTING MODULES AND CELLULAR CATEGORIES

Henning Haahr-Andersen

2020

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Abelian Exact Subcategories Closed Under Predecessors

Manuel Saorín

Communications in Algebra, 2005

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Reflexivity in derived categories

Francesca Mantese

Forum Mathematicum, 2000

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Characterization of torsion theories in general categories

W. Tholen

Contemporary Mathematics, 2007

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Generalized tilting theory

Pedro Nicolás

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On Crossed Modules in Modified Categories of Interest

selim çetin

arXiv: Category Theory, 2016

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Some remarks on homologically finite subcategories

Alejandro Magaña

Boletín de la Sociedad Matemática Mexicana, 2017

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