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Abstract:

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.

Registro:

Documento: Artículo
Título:Projective resolutions of associative algebras and ambiguities
Autor:Chouhy, S.; Solotar, A.
Filiación:IMAS and Dto de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Palabras clave:Hochschild cohomology; Homology theory; Primary; Resolution; Secondary
Año:2015
Volumen:432
Página de inicio:22
Página de fin:61
DOI: http://dx.doi.org/10.1016/j.jalgebra.2015.02.019
Título revista:Journal of Algebra
Título revista abreviado:J. Algebra
ISSN:00218693
CODEN:JALGA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v432_n_p22_Chouhy

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Citas:

---------- APA ----------
Chouhy, S. & Solotar, A. (2015) . Projective resolutions of associative algebras and ambiguities. Journal of Algebra, 432, 22-61.
http://dx.doi.org/10.1016/j.jalgebra.2015.02.019
---------- CHICAGO ----------
Chouhy, S., Solotar, A. "Projective resolutions of associative algebras and ambiguities" . Journal of Algebra 432 (2015) : 22-61.
http://dx.doi.org/10.1016/j.jalgebra.2015.02.019
---------- MLA ----------
Chouhy, S., Solotar, A. "Projective resolutions of associative algebras and ambiguities" . Journal of Algebra, vol. 432, 2015, pp. 22-61.
http://dx.doi.org/10.1016/j.jalgebra.2015.02.019
---------- VANCOUVER ----------
Chouhy, S., Solotar, A. Projective resolutions of associative algebras and ambiguities. J. Algebra. 2015;432:22-61.
http://dx.doi.org/10.1016/j.jalgebra.2015.02.019