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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02194988_v17_n10_p_Marcos |
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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 |
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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 |
_version_ |
1782028283015069696 |