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
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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
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Palabras clave: | Cleft extensions; Cyclic homology; Hochschild homology |
Año: | 2018
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Volumen: | 17
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Número: | 5
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DOI: |
http://dx.doi.org/10.1142/S0219498818500913 |
Título revista: | Journal of Algebra and its Applications
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Título revista abreviado: | J. Algebra Appl.
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ISSN: | 02194988
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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