Generating degrees for graded projective resolutions

We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees...

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Publicado: 2018
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n10_p_Marcos
http://hdl.handle.net/20.500.12110/paper_02194988_v17_n10_p_Marcos
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spelling paper:paper_02194988_v17_n10_p_Marcos2023-06-08T15:21:37Z Generating degrees for graded projective resolutions Gröbner bases Koszul linear modules We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known. © 2018 World Scientific Publishing Company. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n10_p_Marcos http://hdl.handle.net/20.500.12110/paper_02194988_v17_n10_p_Marcos
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Gröbner bases
Koszul
linear modules
spellingShingle Gröbner bases
Koszul
linear modules
Generating degrees for graded projective resolutions
topic_facet Gröbner bases
Koszul
linear modules
description We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known. © 2018 World Scientific Publishing Company.
title Generating degrees for graded projective resolutions
title_short Generating degrees for graded projective resolutions
title_full Generating degrees for graded projective resolutions
title_fullStr Generating degrees for graded projective resolutions
title_full_unstemmed Generating degrees for graded projective resolutions
title_sort generating degrees for graded projective resolutions
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n10_p_Marcos
http://hdl.handle.net/20.500.12110/paper_02194988_v17_n10_p_Marcos
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