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, S., Solotar, A.
Formato:	JOUR
Materias:	Hochschild cohomology Homology theory Primary Resolution Secondary
Acceso en línea:	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	todo:paper_00218693_v432_n_p22_Chouhy
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spelling	todo:paper_00218693_v432_n_p22_Chouhy2023-10-03T14:21:33Z Projective resolutions of associative algebras and ambiguities Chouhy, S. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, S. Solotar, A. 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.
format	JOUR
author	Chouhy, S. Solotar, A.
author_facet	Chouhy, S. Solotar, A.
author_sort	Chouhy, S.
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
url	http://hdl.handle.net/20.500.12110/paper_00218693_v432_n_p22_Chouhy
work_keys_str_mv	AT chouhys projectiveresolutionsofassociativealgebrasandambiguities AT solotara projectiveresolutionsofassociativealgebrasandambiguities
_version_	1807319567958016000

Projective resolutions of associative algebras and ambiguities

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