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

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

46 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	43-61
Publicación	Algebras and Representation Theory
Volumen	11
DOI	https://doi.org/10.1007/s10468-007-9064-3
Estado	Publicada - 1 mar 2008

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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.",

keywords = "Ext-orthogonal, Finite type, Tilting modules",

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

UR - https://www.scopus.com/pages/publications/38349089966

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DO - 10.1007/s10468-007-9064-3

M3 - Article

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

ER -

One dimensional tilting modules are of finite type

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