[HTML][HTML] Relations for Grothendieck groups and representation-finiteness
H Enomoto - Journal of Algebra, 2019 - Elsevier
For an exact category E, we study the Butler's condition “AR= Ex”: the relation of the
Grothendieck group of E is generated by Auslander-Reiten conflations. Under some …
Grothendieck group of E is generated by Auslander-Reiten conflations. Under some …
Auslander-type conditions and cotorsion pairs
Z Huang, O Iyama - Journal of Algebra, 2007 - Elsevier
Auslander-type conditions and cotorsion pairs Page 1 Journal of Algebra 318 (2007) 93–110
www.elsevier.com/locate/jalgebra Auslander-type conditions and cotorsion pairs Zhaoyong …
www.elsevier.com/locate/jalgebra Auslander-type conditions and cotorsion pairs Zhaoyong …
Tilting objects in abelian categories and quasitilted rings
R Colpi, K Fuller - Transactions of the American Mathematical Society, 2007 - ams.org
D. Happel, I. Reiten and S. Smalø initiated an investigation of quasitilted artin $ K $-algebras
that are the endomorphism rings of tilting objects in hereditary abelian categories whose …
that are the endomorphism rings of tilting objects in hereditary abelian categories whose …
[HTML][HTML] Auslander–Reiten (d+ 2)-angles in subcategories and a (d+ 2)-angulated generalisation of a theorem by Brüning
F Fedele - Journal of Pure and Applied Algebra, 2019 - Elsevier
Let Φ be a finite dimensional algebra over an algebraically closed field k and assume gldim
Φ≤ d, for some fixed positive integer d. For d= 1, Brüning proved that there is a bijection …
Φ≤ d, for some fixed positive integer d. For d= 1, Brüning proved that there is a bijection …
Torsion classes, wide subcategories and localisations
F Marks, J Šťovíček - Bulletin of the London Mathematical …, 2017 - Wiley Online Library
For a finite‐dimensional algebra A, we establish correspondences between torsion classes
and wide subcategories in mod (A). In case A is representation finite, we obtain an explicit …
and wide subcategories in mod (A). In case A is representation finite, we obtain an explicit …
Tilting objects on some global quotient stacks
S Novaković - Journal of Commutative Algebra, 2018 - JSTOR
TILTING OBJECTS ON SOME GLOBAL QUOTIENT STACKS 1. Introduction. Geometric tilting
theory began with the con- struction of tiltin Page 1 JOURNAL OF COMMUTATIVE ALGEBRA …
theory began with the con- struction of tiltin Page 1 JOURNAL OF COMMUTATIVE ALGEBRA …
Contravariantly finite subcategories and irreducible maps
JF Carlson, D Happel - Proceedings of the American Mathematical Society, 1993 - ams.org
Let $\Lambda $ be an Artin algebra. This paper presents a condition that is necessary for a
subcategory of $\bmod\Lambda $ to be contravariantly finite. Several examples are explored …
subcategory of $\bmod\Lambda $ to be contravariantly finite. Several examples are explored …
Two-sided tilting complexes for Gorenstein orders
A Zimmerman - Journal of Algebra, 1998 - Elsevier
Work of J. Rickard proves that the derived module categories of two ringsAandBare
equivalent as triangulated categories if and only if there is a particular objectT, a so-called …
equivalent as triangulated categories if and only if there is a particular objectT, a so-called …
[PDF][PDF] Generalized Auslander-Reiten conjecture and tilting equivalences
J Wei - Proceedings of the American Mathematical Society, 2010 - community.ams.org
Throughout this paper, we consider Artin algebras and finitely generated left modules over
them. Let R be an Artin algebra. We denote by modR the category of all finitely generated …
them. Let R be an Artin algebra. We denote by modR the category of all finitely generated …