From recollements of abelian categories to recollements of triangulated categories (original) (raw)

Representations over diagrams of abelian categories II: Abelian model structures

Nina Yu

arXiv (Cornell University), 2023

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Projective Model Structures for Exact Categories

Jack Kelly

arXiv: Category Theory, 2016

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Introduction to abelian and derived categories

Bernhard Keller

Representations of Reductive Groups, 1998

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Frobenius pairs in abelian categories: correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts

Octavio Mendoza Hernandez

2016

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Different Exact Structures on the Monomorphism Categories

Intan Muchtadi-Alamsyah

Applied Categorical Structures

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On relative derived categories

Payam Bahiraei

arXiv (Cornell University), 2013

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Ideal cotorsion theories in triangulated categories

George Ciprian Modoi

2015

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On the cyclic homology of exact categories

Bernhard Keller

Journal of Pure and Applied Algebra, 1999

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Auslander-Reiten theory in proper abelian subcategories

David Nkansah

arXiv (Cornell University), 2023

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On perfectly generating projective classes in triangulated categories

George Ciprian Modoi

2009

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Gorenstein projective objects in comma categories

Rongmin Zhu

Periodica Mathematica Hungarica, 2021

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On the abelianization of derived categories and a negative solution to Rosický’s problem

Silvana Bazzoni

Compositio Mathematica, 2012

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Karoubi-Villamayor and Quillen functors for triangular categories

Andrei Prasolov

Journal of Soviet Mathematics, 1986

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Mutation in triangulated categories and rigid Cohen–Macaulay modules

Yuji Yoshino

Inventiones mathematicae, 2008

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Singular extensions and triangulated categories

Teimuraz Pirashvili

2007

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Some exact sequences associated with adjunctions in bicategories. Applications

José Gómez-Torrecillas

Transactions of the American Mathematical Society, 2019

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Determinant functors on exact categories and their extensions to categories of bounded complexes

Finn Faye Knudsen

Michigan Mathematical Journal, 2002

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Triangulated subcategories of extensions, stable t-structures, and triangles of recollements

Kiriko Kato

Journal of Pure and Applied Algebra, 2015

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On Crossed Modules in Modified Categories of Interest

selim çetin

arXiv: Category Theory, 2016

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Gorenstein cohomology in abelian categories

Diana White

Arxiv preprint arXiv:0706.3739, 2007

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Abelian Exact Subcategories Closed Under Predecessors

Manuel Saorín

Communications in Algebra, 2005

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Recollements associated to cotorsion pairs over upper triangular matrix rings

Rongmin Zhu

Publicationes Mathematicae Debrecen

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Spanier–Whitehead Categories of Resolving Subcategories and Comparison with Singularity Categories

Zahra Toosi, Shokrollah Salarian

Algebras and Representation Theory

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Linked exact triples of triangulated categories and a calculus of t-structures

Michael Berg

2006

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Triangulated Subcategories of Extensions and Triangles of Recollements

Kiriko Kato

2016

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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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Derived categories and their applications

Andrea Solotar

Revista de la Unión Matemática …, 2007

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Properties of abelian categories via recollements

Carlos Parra

Journal of Pure and Applied Algebra, 2018

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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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Chain complexes and stable categories

Bernhard Keller

Manuscripta Mathematica, 1990

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The countable Telescope Conjecture for module categories

Jan Šaroch

Advances in Mathematics, 2008

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