All tilting modules are of finite type-Reference-Cited by-同舟云学术

All tilting modules are of finite type

Published:2007-08-30 Issue:12 Volume:135 Page:3771-3781
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bazzoni Silvana,Šťovíček Jan

Abstract

We prove that any infinitely generated tilting module is of finite type, namely that its associated tilting class is the Ext-orthogonal of a set of modules possessing a projective resolution consisting of finitely generated projective modules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-12/S0002-9939-07-08911-3/S0002-9939-07-08911-3.pdf

Reference24 articles.

1. Infinitely generated tilting modules of finite projective dimension;Angeleri Hügel, Lidia;Forum Math.,2001

2. Tilting modules and Gorenstein rings;Angeleri Hügel, Lidia;Forum Math.,2006

3. Tilting preenvelopes and cotilting precovers;Angeleri Hügel, Lidia;Algebr. Represent. Theory,2001

4. Applications of contravariantly finite subcategories;Auslander, Maurice;Adv. Math.,1991

5. Preprojective modules over Artin algebras;Auslander, M.;J. Algebra,1980

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