Amit M. Shah

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All published works

Action	Title	Year	Authors
+ PDF Chat	Weak Waldhausen categories and a localization theorem	2024	Yasuaki Ogawa Amit M. Shah
+	A resolution theorem for extriangulated categories with applications to the index	2024	Yasuaki Ogawa Amit M. Shah
+ PDF Chat	Idempotent Completions of n-Exangulated Categories	2024	Carlo Klapproth Dixy Msapato Amit M. Shah
+	Grothendieck groups of d-exangulated categories and a modified Caldero-Chapoton map	2023	Peter Jørgensen Amit M. Shah
+	Krull-Remak-Schmidt decompositions in Hom-finite additive categories	2023	Amit M. Shah
+	The index with respect to a rigid subcategory of a triangulated category	2022	Peter Jørgensen Amit Shah
+ PDF Chat	Transport of structure in higher homological algebra	2021	Raphael Bennett‐Tennenhaus Amit M. Shah
+ PDF Chat	Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories	2020	Souheila Hassoun Amit M. Shah
+	Examples and non-examples of integral categories and the admissible intersection property	2020	Souheila Hassoun Amit M. Shah Sven‐Ake Wegner
+	Quasi-abelian hearts of twin cotorsion pairs on triangulated categories	2019	Amit M. Shah
+	Partial cluster-tilted algebras via twin cotorsion pairs, quasi-abelian categories and Auslander-Reiten theory	2019	Amit M. Shah
+ PDF Chat	Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories	2019	Amit M. Shah

Common Coauthors

Coauthor	Papers Together
Souheila Hassoun	2
Peter Jørgensen	2
Yasuaki Ogawa	2
Carlo Klapproth	1
Raphael Bennett‐Tennenhaus	1
Sven‐Ake Wegner	1
Dixy Msapato	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	From triangulated categories to module categories via localization II: calculus of fractions	2012	Aslak Bakke Buan Bethany Marsh	7
+	Tilting theory and cluster combinatorics	2005	Aslak Bakke Buan Bethany Marsh Markus Reineke Idun Reiten Gordana Todorov	7
+	Extriangulated categories, Hovey twin cotorsion pairs and model structures	2019	Hiroyuki Nakaoka Yann Palu	6
+	Calculus of Fractions and Homotopy Theory	1967	Peter Gabriel Michel Zisman	6
+	n-exangulated categories (I): Definitions and fundamental properties	2020	Martin Herschend Yu Liu Hiroyuki Nakaoka	5
+	Representation Theory of Artin Algebras	1995	Maurice Auslander Idun Reiten Sverre O. Smalø	5
+	Hearts of twin cotorsion pairs on extriangulated categories	2019	Yu Liu Hiroyuki Nakaoka	5
+	General heart construction for twin torsion pairs on triangulated categories	2012	Hiroyuki Nakaoka	5
+	Almost abelian categories	2001	Wolfgang Rump	5
+	Representation Theory of Artin Algebras II	1974	Maurice Auslander	4
+	Abelian categories with applications to rings and modules	1973	Nicolae Popescu	4
+	Exact categories	2009	Theo Bühler	4
+	A counterexample to Raikov's conjecture	2008	Wolfgang Rump	4
+	General Heart Construction on a Triangulated Category (I): Unifying t-Structures and Cluster Tilting Subcategories	2010	Hiroyuki Nakaoka	4
+ PDF Chat	Cluster-tilted algebras	2006	Aslak Bakke Buan Bethany Marsh Idun Reiten	4
+ PDF Chat	Auslander–Reiten theory in extriangulated categories	2024	Osamu Iyama Hiroyuki Nakaoka Yann Palu	4
+ PDF Chat	Transport of structure in higher homological algebra	2021	Raphael Bennett‐Tennenhaus Amit M. Shah	4
+ PDF Chat	Mutation in triangulated categories and rigid Cohen–Macaulay modules	2008	Osamu Iyama Yuji Yoshino	4
+	The Grothendieck group of an -angulated category	2013	Petter Andreas Bergh Marius Thaule	4
+	Krull–Schmidt categories and projective covers	2015	Henning Krause	4
+ PDF Chat	n-Abelian and n-exact categories	2016	Gustavo Jasso	4
+	Quasi-abelian hearts of twin cotorsion pairs on triangulated categories	2019	Amit M. Shah	4
+ PDF Chat	n-angulated categories	2012	Christof Geiß Bernhard Keller Steffen Oppermann	3
+	Triangulated categories: definitions, properties, and examples	2010	Thorsten Holm Peter Jørgensen	3
+ PDF Chat	Exact categories and vector space categories	1999	Peter Dräxler Idun Reiten Sverre O. Smalø Øyvind Solberg Wolfgang Keller	3
+ PDF Chat	Localization of extriangulated categories	2022	Hiroyuki Nakaoka Yasuaki Ogawa Arashi Sakai	3
+ PDF Chat	Cluster characters for 2-Calabi–Yau triangulated categories	2008	Yann Palu	3
+	The category of extensions and a characterisation of n-exangulated functors	2023	Raphael Bennett‐Tennenhaus Johanne Haugland Mads Hustad Sandøy Amit Shah	3
+ PDF Chat	GROTHENDIECK GROUPS OF TRIANGULATED CATEGORIES VIA CLUSTER TILTING SUBCATEGORIES	2020	Francesca Fedele	3
+	Introduction to the theory of categories and functors	1968	Ion Bucur Aristide Deleanu P. J. Hilton	3
+ PDF Chat	The Grothendieck Group of an n-exangulated Category	2021	Johanne Haugland	3
+ PDF Chat	From triangulated categories to abelian categories: cluster tilting in a general framework	2007	Steffen Koenig Bin Zhu	3
+ PDF Chat	Grothendieck groups in extriangulated categories	2021	Bin Zhu Xiao Zhuang	3
+	Higher algebraic K-theory: I	1973	Daniel Quillen	3
+	From triangulated categories to module categories via localisation	2012	Aslak Buan Bethany Marsh	3
+ PDF Chat	Tropical friezes and the index in higher homological algebra	2020	Peter Jørgensen	3
+ PDF Chat	Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories	2020	Souheila Hassoun Amit M. Shah	3
+	Triangulated Categories in the Representation of Finite Dimensional Algebras	1988	Dieter Happel	3
+	Cluster-tilted algebras are Gorenstein and stably Calabi–Yau	2006	Bernhard Keller Idun Reiten	3
+	Cluster characters for cluster categories with infinite-dimensional morphism spaces	2011	Pierre‐Guy Plamondon	3
+ PDF Chat	A torsion theory for Abelian categories	1966	Spencer E. Dickson	2
+	Relative homology, higher cluster-tilting theory and categorified Auslander–Iyama correspondence	2015	Apostolos Beligiannis	2
+	Cluster algebras I: Foundations	2001	Sergey Fomin Andrei Zelevinsky	2
+ PDF Chat	A Caldero–Chapoton map for infinite clusters	2012	Peter Jørgensen Yann Palu	2
+	Semi-abelian categories	2002	George Janelidze L. Márki Walter Tholen	2
+ PDF Chat	Cluster algebras as Hall algebras of quiver representations	2006	Philippe Caldero Frédéric Chapoton	2
+ PDF Chat	Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories	2019	Amit M. Shah	2
+	Algebras of Derived Dimension Zero	2008	Xiao‐Wu Chen Yu Ye Pu Zhang	2
+ PDF Chat	Algèbres de Clifford et $K$-théorie	1968	Max Karoubi	2
+ PDF Chat	Quasi-abelian categories and sheaves	1999	Jean-Pierre Schneiders	2