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

Departament de Matemàtiques

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Resum

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	Anglès
Pàgines (de-a)	43-61
Revista	Algebras and Representation Theory
Volum	11
DOIs	https://doi.org/10.1007/s10468-007-9064-3
Estat de la publicació	Publicada - 1 de març 2008

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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.",

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

author = "Silvana Bazzoni and Dolors Herbera",

year = "2008",

month = mar,

day = "1",

doi = "10.1007/s10468-007-9064-3",

language = "English",

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T1 - One dimensional tilting modules are of finite type

AU - Bazzoni, Silvana

AU - Herbera, Dolors

PY - 2008/3/1

Y1 - 2008/3/1

N2 - 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.

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

U2 - 10.1007/s10468-007-9064-3

DO - 10.1007/s10468-007-9064-3

M3 - Article

SN - 1386-923X

VL - 11

SP - 43

EP - 61

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

ER -

One dimensional tilting modules are of finite type

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