Artículo
Farinati, M.; Guccione, J.A.; Guccione, J.J. "The cohomology of monogenic extensions in the noncommutative setting" (2008) Journal of Algebra. 319(12):5101-5124
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Abstract:
We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an application we complete the computation of the cohomology ring of the rank one Hopf algebras begun in [S.M. Burciu, S.J. Witherspoon, Hochschild cohomology of smash products and rank one Hopf algebras, math.RA/0608762, 2006]. © 2008 Elsevier Inc. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | The cohomology of monogenic extensions in the noncommutative setting |
| Autor: | Farinati, M.; Guccione, J.A.; Guccione, J.J. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, (1428) Buenos Aires, Argentina |
| Palabras clave: | Hochschild cohomology ring; Monogenic extensions |
| Año: | 2008 |
| Volumen: | 319 |
| Número: | 12 |
| Página de inicio: | 5101 |
| Página de fin: | 5124 |
| DOI: | http://dx.doi.org/10.1016/j.jalgebra.2008.03.019 |
| Título revista: | Journal of Algebra |
| Título revista abreviado: | J. Algebra |
| ISSN: | 00218693 |
| CODEN: | JALGA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v319_n12_p5101_Farinati.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v319_n12_p5101_Farinati |
Referencias:
- Andruskiewitsch, N., Schneider, H.J., Lifting of quantum linear spaces and pointed Hopf algebras of order p3 (1998) J. Algebra, 209, pp. 658-691
- The Buenos Aires cyclic homology group, Cyclic homology of algebras with one generator (1991) K-Theory, 5, pp. 51-69
- Burciu, S.M., Witherspoon, S.J., (2006) Hochschild cohomology of smash products and rank one Hopf algebras, , math.RA/0608762
- Gerstenhaber, M., The cohomology structure of an associative ring (1963) Ann. of Math. (2), 78, pp. 267-288
- Gerstenhaber, M., Schack, S.D., Relative Hochschild cohomology, rigid algebras, and the Bockstein (1986) J. Pure Appl. Algebra, 43 (1), pp. 53-74
- Krop, L., Radford, D., Finite dimensional Hopf algebras of rank 1 in characteristic 0 (2006) J. Algebra, 302 (1), pp. 214-230
Citas:
---------- APA ----------
Farinati, M., Guccione, J.A. & Guccione, J.J. (2008) . The cohomology of monogenic extensions in the noncommutative setting. Journal of Algebra, 319(12), 5101-5124.http://dx.doi.org/10.1016/j.jalgebra.2008.03.019
---------- CHICAGO ----------
Farinati, M., Guccione, J.A., Guccione, J.J. "The cohomology of monogenic extensions in the noncommutative setting" . Journal of Algebra 319, no. 12 (2008) : 5101-5124.http://dx.doi.org/10.1016/j.jalgebra.2008.03.019
---------- MLA ----------
Farinati, M., Guccione, J.A., Guccione, J.J. "The cohomology of monogenic extensions in the noncommutative setting" . Journal of Algebra, vol. 319, no. 12, 2008, pp. 5101-5124.http://dx.doi.org/10.1016/j.jalgebra.2008.03.019
---------- VANCOUVER ----------
Farinati, M., Guccione, J.A., Guccione, J.J. The cohomology of monogenic extensions in the noncommutative setting. J. Algebra. 2008;319(12):5101-5124.http://dx.doi.org/10.1016/j.jalgebra.2008.03.019
