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Abstract:

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.

Registro:

Documento: Artículo
Título:Change of grading, injective dimension and dualizing complexes
Autor:Solotar, A.; Zadunaisky, P.
Filiación:IMAS-CONICET y Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina
Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil
Palabras clave:Change of grading; dualizing complexes; injective modules
Año:2018
Volumen:46
Número:10
Página de inicio:4414
Página de fin:4425
DOI: http://dx.doi.org/10.1080/00927872.2018.1444170
Título revista:Communications in Algebra
Título revista abreviado:Commun. Algebra
ISSN:00927872
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v46_n10_p4414_Solotar

Referencias:

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Citas:

---------- APA ----------
Solotar, A. & Zadunaisky, P. (2018) . Change of grading, injective dimension and dualizing complexes. Communications in Algebra, 46(10), 4414-4425.
http://dx.doi.org/10.1080/00927872.2018.1444170
---------- CHICAGO ----------
Solotar, A., Zadunaisky, P. "Change of grading, injective dimension and dualizing complexes" . Communications in Algebra 46, no. 10 (2018) : 4414-4425.
http://dx.doi.org/10.1080/00927872.2018.1444170
---------- MLA ----------
Solotar, A., Zadunaisky, P. "Change of grading, injective dimension and dualizing complexes" . Communications in Algebra, vol. 46, no. 10, 2018, pp. 4414-4425.
http://dx.doi.org/10.1080/00927872.2018.1444170
---------- VANCOUVER ----------
Solotar, A., Zadunaisky, P. Change of grading, injective dimension and dualizing complexes. Commun. Algebra. 2018;46(10):4414-4425.
http://dx.doi.org/10.1080/00927872.2018.1444170