One dimensional tilting modules are of finite type

Silvana Bazzoni; Dolors Herbera

doi:10.1007/s10468-007-9064-3

One dimensional tilting modules are of finite type

Silvana Bazzoni, Dolors Herbera

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

46 Citations (Scopus)

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. © 2007 Springer Science + Business Media B.V.

Original language	English
Pages (from-to)	43-61
Journal	Algebras and Representation Theory
Volume	11
DOIs	https://doi.org/10.1007/s10468-007-9064-3
Publication status	Published - 1 Mar 2008

Keywords

Ext-orthogonal
Finite type
Tilting modules

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10.1007/s10468-007-9064-3

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title = "One dimensional tilting modules are of finite type",

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. {\textcopyright} 2007 Springer Science + Business Media B.V.",

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author = "Silvana Bazzoni and Dolors Herbera",

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AU - Herbera, Dolors

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AB - 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. © 2007 Springer Science + Business Media B.V.

KW - Ext-orthogonal

KW - Finite type

KW - Tilting modules

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DO - 10.1007/s10468-007-9064-3

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

ER -

One dimensional tilting modules are of finite type

Abstract

Keywords

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