Artículo
Carboni, G.; Guccione, J.A.; Guccione, J.J. "Cyclic homology of monogenic extensions in the noncommutative setting" (2009) Journal of Algebra. 321(2):404-428
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Abstract:
We study the Hochschild and cyclic homology of noncommutative monogenic extensions. As an application we compute the Hochschild and cyclic homology of the rank 1 Hopf algebras introduced in [L. Krop, D. Radford, Finite dimensional Hopf algebras of rank 1 in characteristic 0, Journal of Algebra 302 (1) (2006) 214-230]. © 2008 Elsevier Inc. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Cyclic homology of monogenic extensions in the noncommutative setting |
| Autor: | Carboni, G.; Guccione, J.A.; Guccione, J.J. |
| Filiación: | Cíclo Básico Común, Pabellón 3, (1428) Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, (1428) Buenos Aires, Argentina |
| Palabras clave: | Cyclic homology; Hochschild homology; Monogenic extensions |
| Año: | 2009 |
| Volumen: | 321 |
| Número: | 2 |
| Página de inicio: | 404 |
| Página de fin: | 428 |
| DOI: | http://dx.doi.org/10.1016/j.jalgebra.2008.09.036 |
| Título revista: | Journal of Algebra |
| Título revista abreviado: | J. Algebra |
| ISSN: | 00218693 |
| CODEN: | JALGA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v321_n2_p404_Carboni.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v321_n2_p404_Carboni |
Referencias:
- Akbarpour, R., Khalkhali, M., Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras (2003) J. Reine Angew. Math., 559, pp. 137-152
- Guccione, J.A., Guccione, J.J., Redondo, M.J., Solotar, A., Villamayor, O.E., Cyclic homology of monogenic algebras (1994) Comm. Algebra, 22 (12), pp. 4899-4904. , Bach Group:
- Burghelea, D., Cyclic homology and algebraic K-theory of spaces I (1986) Contemp. Math., 55, pp. 89-115. , Boulder, Colorado 1983
- Carboni, G., Guccione, J.A., Guccione, J.J., Cyclic homology of crossed products, , arXiv:0805.0582 [math.KT]
- Crainic, M., (2004) On the perturbation lemma, and deformations, , arXiv:math.AT/0403266
- Farinati, M., Guccione, J.A., Guccione, J.J., The cohomology of monogenic extensions in the noncommutative setting (2008) J. Algebra, 319, pp. 5101-5124
- Feigin, B.L., Tsygan, B.L., Additive K-theory (1987) Lecture Notes in Math., 1289, pp. 67-209. , K-Theory, Arithmetic and Geometry. Moscow, 1984-1986, Springer, Berlin
- Gerstenhaber, M., Schack, S.D., Relative Hochschild cohomology, rigid algebras, and the Bockstein (1986) J. Pure Appl. Algebra, 43 (1), pp. 53-74
- Getzler, E., Jones, J.D., The cyclic homology of crossed product algebras (1993) J. Reine Angew. Math., 445, pp. 161-174
- Guccione, J.A., Guccione, J.J., Hochschild (co)homology of Hopf crossed products (2002) K-Theory, 25, pp. 139-169
- Khalkhali, M., Rangipour, B., On the cyclic homology of Hopf crossed products (2004) Fields Inst. Commun., 43, pp. 341-351
- Kassel, C., Cyclic homology, comodules and mixed complexes (1987) J. Algebra, 107, pp. 195-216
- Krop, L., Radford, D., Finite dimensional Hopf algebras of rank 1 in characteristic 0 (2006) J. Algebra, 302 (1), pp. 214-230
- Nistor, V., Group cohomology and the cyclic cohomology of crossed products (1990) Invent. Math., 99, pp. 411-424
Citas:
---------- APA ----------
Carboni, G., Guccione, J.A. & Guccione, J.J. (2009) . Cyclic homology of monogenic extensions in the noncommutative setting. Journal of Algebra, 321(2), 404-428.http://dx.doi.org/10.1016/j.jalgebra.2008.09.036
---------- CHICAGO ----------
Carboni, G., Guccione, J.A., Guccione, J.J. "Cyclic homology of monogenic extensions in the noncommutative setting" . Journal of Algebra 321, no. 2 (2009) : 404-428.http://dx.doi.org/10.1016/j.jalgebra.2008.09.036
---------- MLA ----------
Carboni, G., Guccione, J.A., Guccione, J.J. "Cyclic homology of monogenic extensions in the noncommutative setting" . Journal of Algebra, vol. 321, no. 2, 2009, pp. 404-428.http://dx.doi.org/10.1016/j.jalgebra.2008.09.036
---------- VANCOUVER ----------
Carboni, G., Guccione, J.A., Guccione, J.J. Cyclic homology of monogenic extensions in the noncommutative setting. J. Algebra. 2009;321(2):404-428.http://dx.doi.org/10.1016/j.jalgebra.2008.09.036
