Projective resolutions of associative algebras and ambiguities

The aim of this article is to give a method to construct bimodule resolutions of associative algebras, generalizing Bardzell's well-known resolution of monomial algebras. We stress that this method leads to concrete computations, providing thus a useful tool for computing invariants associated...

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Detalles Bibliográficos
Autores principales: Chouhy, Sergio Nicolas, Solotar, Andrea Leonor
Publicado: 2015
Materias:
Hochschild cohomology
Homology theory
Primary
Resolution
Secondary
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v432_n_p22_Chouhy
http://hdl.handle.net/20.500.12110/paper_00218693_v432_n_p22_Chouhy
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v432_n_p22_Chouhy
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spelling paper:paper_00218693_v432_n_p22_Chouhy2023-06-08T14:42:28Z Projective resolutions of associative algebras and ambiguities Chouhy, Sergio Nicolas Solotar, Andrea Leonor Hochschild cohomology Homology theory Primary Resolution Secondary The aim of this article is to give a method to construct bimodule resolutions of associative algebras, generalizing Bardzell's well-known resolution of monomial algebras. We stress that this method leads to concrete computations, providing thus a useful tool for computing invariants associated to the considered algebras. We illustrate how to use it by giving several examples in the last section of the article. In particular we give necessary and sufficient conditions for noetherian down-up algebras to be 3-Calabi-Yau. © 2015 Elsevier Inc. Fil:Chouhy, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v432_n_p22_Chouhy http://hdl.handle.net/20.500.12110/paper_00218693_v432_n_p22_Chouhy
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hochschild cohomology
Homology theory
Primary
Resolution
Secondary
spellingShingle Hochschild cohomology
Homology theory
Primary
Resolution
Secondary
Chouhy, Sergio Nicolas
Solotar, Andrea Leonor
Projective resolutions of associative algebras and ambiguities
topic_facet Hochschild cohomology
Homology theory
Primary
Resolution
Secondary
description The aim of this article is to give a method to construct bimodule resolutions of associative algebras, generalizing Bardzell's well-known resolution of monomial algebras. We stress that this method leads to concrete computations, providing thus a useful tool for computing invariants associated to the considered algebras. We illustrate how to use it by giving several examples in the last section of the article. In particular we give necessary and sufficient conditions for noetherian down-up algebras to be 3-Calabi-Yau. © 2015 Elsevier Inc.
author Chouhy, Sergio Nicolas
Solotar, Andrea Leonor
author_facet Chouhy, Sergio Nicolas
Solotar, Andrea Leonor
author_sort Chouhy, Sergio Nicolas
title Projective resolutions of associative algebras and ambiguities
title_short Projective resolutions of associative algebras and ambiguities
title_full Projective resolutions of associative algebras and ambiguities
title_fullStr Projective resolutions of associative algebras and ambiguities
title_full_unstemmed Projective resolutions of associative algebras and ambiguities
title_sort projective resolutions of associative algebras and ambiguities
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v432_n_p22_Chouhy
http://hdl.handle.net/20.500.12110/paper_00218693_v432_n_p22_Chouhy
work_keys_str_mv AT chouhysergionicolas projectiveresolutionsofassociativealgebrasandambiguities
AT solotarandrealeonor projectiveresolutionsofassociativealgebrasandambiguities
_version_ 1768544762441236480

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