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Abstract:

Let k be a commutative algebra with Q ⊆ k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of E relative to ker(p). This complex resembles the canonical reduced mixed complex of an augmented algebra. We begin the study of our complex showing that it has a harmonic decomposition like the one considered by Cuntz and Quillen for the normalized mixed complex of an algebra. © 2018 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Cyclic homology of cleft extensions of algebras
Autor:Guccione, J.A.; Guccione, J.J.; Valqui, C.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
CONICET, Instituto de Investigaciones Matemáticas, Luis A. Santaló (IMAS), Universidad de Buenos Aires, Buenos Aires, Argentina
CONICET, Instituto Argentino de Matemática (IAM), Buenos Aires, Argentina
Pontificia Universidad Católica Del Perú, Sección Matemáticas, PUCP, Av. Universitaria 1801, San-Miguel-Lima-32, Peru
Instituto de Matemática y Ciencias Afines (IMCA), Calle Los Biólogos 245, Urb San César, La-Molina-Lima, 12, Peru
Palabras clave:Cleft extensions; Cyclic homology; Hochschild homology
Año:2018
Volumen:17
Número:5
DOI: http://dx.doi.org/10.1142/S0219498818500913
Título revista:Journal of Algebra and its Applications
Título revista abreviado:J. Algebra Appl.
ISSN:02194988
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n5_p_Guccione

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Citas:

---------- APA ----------
Guccione, J.A., Guccione, J.J. & Valqui, C. (2018) . Cyclic homology of cleft extensions of algebras. Journal of Algebra and its Applications, 17(5).
http://dx.doi.org/10.1142/S0219498818500913
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "Cyclic homology of cleft extensions of algebras" . Journal of Algebra and its Applications 17, no. 5 (2018).
http://dx.doi.org/10.1142/S0219498818500913
---------- MLA ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "Cyclic homology of cleft extensions of algebras" . Journal of Algebra and its Applications, vol. 17, no. 5, 2018.
http://dx.doi.org/10.1142/S0219498818500913
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J., Valqui, C. Cyclic homology of cleft extensions of algebras. J. Algebra Appl. 2018;17(5).
http://dx.doi.org/10.1142/S0219498818500913