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Algebras and Representation Theory

, Volume 11, Issue 1, pp 43–61 | Cite as

One Dimensional Tilting Modules are of Finite Type

  • Silvana Bazzoni
  • Dolors Herbera
Article

Abstract

We prove that every tilting module of projective dimension at most one is of finite type, namely that its associated tilting class is the Ext-orthogonal of a family of finitely presented modules of projective dimension at most one.

Keywords

Tilting modules Finite type Ext-orthogonal 

Mathematics Subject Classifications (2000)

Primary 16D90 16E30 Secondary 16G99 

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Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Dipartimento di Matematica Pura e ApplicataUniversità di PadovaPadovaItaly
  2. 2.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaBellaterra (Barcelona)Spain

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