One Dimensional Tilting Modules are of Finite Type

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.

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Bibliographic Details
Published inAlgebras and representation theory Vol. 11; no. 1; pp. 43 - 61
Main Authors Bazzoni, Silvana, Herbera, Dolors
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2008
Subjects
Associative Rings and Algebras
Commutative Rings and Algebras
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
16E30
Finite type
Tilting modules
Ext-orthogonal
Primary 16D90
Secondary 16G99
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Summary: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.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-007-9064-3