Change of grading, injective dimension and dualizing complexes

Let G,H be groups, φ:G→H a group morphism, and A a G-graded algebra. The morphism φ induces an H-grading on A, and on any G-graded A-module, which thus becomes an H-graded A-module. Given an injective G-graded A-module, we give bounds for its injective dimension when seen as H-graded A-module. Follo...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Change of grading
dualizing complexes
injective modules
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v46_n10_p4414_Solotar
http://hdl.handle.net/20.500.12110/paper_00927872_v46_n10_p4414_Solotar
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00927872_v46_n10_p4414_Solotar
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spelling paper:paper_00927872_v46_n10_p4414_Solotar2023-06-08T15:08:22Z Change of grading, injective dimension and dualizing complexes Change of grading dualizing complexes injective modules Let G,H be groups, φ:G→H a group morphism, and A a G-graded algebra. The morphism φ induces an H-grading on A, and on any G-graded A-module, which thus becomes an H-graded A-module. Given an injective G-graded A-module, we give bounds for its injective dimension when seen as H-graded A-module. Following ideas by Van den Bergh, we give an application of our results to the stability of dualizing complexes through change of grading. © 2018, © 2018 Taylor & Francis. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v46_n10_p4414_Solotar http://hdl.handle.net/20.500.12110/paper_00927872_v46_n10_p4414_Solotar
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Change of grading
dualizing complexes
injective modules
spellingShingle Change of grading
dualizing complexes
injective modules
Change of grading, injective dimension and dualizing complexes
topic_facet Change of grading
dualizing complexes
injective modules
description Let G,H be groups, φ:G→H a group morphism, and A a G-graded algebra. The morphism φ induces an H-grading on A, and on any G-graded A-module, which thus becomes an H-graded A-module. Given an injective G-graded A-module, we give bounds for its injective dimension when seen as H-graded A-module. Following ideas by Van den Bergh, we give an application of our results to the stability of dualizing complexes through change of grading. © 2018, © 2018 Taylor & Francis.
title Change of grading, injective dimension and dualizing complexes
title_short Change of grading, injective dimension and dualizing complexes
title_full Change of grading, injective dimension and dualizing complexes
title_fullStr Change of grading, injective dimension and dualizing complexes
title_full_unstemmed Change of grading, injective dimension and dualizing complexes
title_sort change of grading, injective dimension and dualizing complexes
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v46_n10_p4414_Solotar
http://hdl.handle.net/20.500.12110/paper_00927872_v46_n10_p4414_Solotar
_version_ 1768546436318756864

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