Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


All tilting modules are of finite type
HTML articles powered by AMS MathViewer

by Silvana Bazzoni and Jan Šťovíček PDF
Proc. Amer. Math. Soc. 135 (2007), 3771-3781 Request permission


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.
Similar Articles
Additional Information
  • Silvana Bazzoni
  • Affiliation: Dipartimento di Matematica Pura e Applicata, Universitá di Padova, Via Trieste 63, 35121 Padova, Italy
  • MR Author ID: 33015
  • Email:
  • Jan Šťovíček
  • Affiliation: Katedra algebry MFF UK, Sokolovská 83, 186 75 Praha 8, Czech Republic
  • Email:
  • Received by editor(s): October 1, 2005
  • Received by editor(s) in revised form: September 9, 2006
  • Published electronically: August 30, 2007
  • Additional Notes: The first author was supported by Università di Padova (Progetto di Ateneo CDPA048343 “Decomposition and tilting theory in modules, derived and cluster categories”).
    The second author was supported by a grant of the Industrie Club Duesseldorf, GAČR 201/05/H005, and the research project MSM 0021620839.
  • Communicated by: Martin Lorenz
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 3771-3781
  • MSC (2000): Primary 16D90, 16D30; Secondary 03E75, 16G99
  • DOI:
  • MathSciNet review: 2341926