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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Autores principales: Marcos, E.N., Solotar, A., Volkov, Y.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02194988_v17_n10_p_Marcos
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spelling todo:paper_02194988_v17_n10_p_Marcos2023-10-03T15:11:07Z Generating degrees for graded projective resolutions Marcos, E.N. Solotar, A. Volkov, Y. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Marcos, E.N.
Solotar, A.
Volkov, Y.
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.
format JOUR
author Marcos, E.N.
Solotar, A.
Volkov, Y.
author_facet Marcos, E.N.
Solotar, A.
Volkov, Y.
author_sort Marcos, E.N.
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
url http://hdl.handle.net/20.500.12110/paper_02194988_v17_n10_p_Marcos
work_keys_str_mv AT marcosen generatingdegreesforgradedprojectiveresolutions
AT solotara generatingdegreesforgradedprojectiveresolutions
AT volkovy generatingdegreesforgradedprojectiveresolutions
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