The cohomology of monogenic extensions in the noncommutative setting
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 cohomolo...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati |
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todo:paper_00218693_v319_n12_p5101_Farinati2023-10-03T14:21:25Z The cohomology of monogenic extensions in the noncommutative setting Farinati, M. Guccione, J.A. Guccione, J.J. Hochschild cohomology ring Monogenic extensions 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. Fil:Farinati, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Hochschild cohomology ring Monogenic extensions |
| spellingShingle |
Hochschild cohomology ring Monogenic extensions Farinati, M. Guccione, J.A. Guccione, J.J. The cohomology of monogenic extensions in the noncommutative setting |
| topic_facet |
Hochschild cohomology ring Monogenic extensions |
| description |
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. |
| format |
JOUR |
| author |
Farinati, M. Guccione, J.A. Guccione, J.J. |
| author_facet |
Farinati, M. Guccione, J.A. Guccione, J.J. |
| author_sort |
Farinati, M. |
| title |
The cohomology of monogenic extensions in the noncommutative setting |
| title_short |
The cohomology of monogenic extensions in the noncommutative setting |
| title_full |
The cohomology of monogenic extensions in the noncommutative setting |
| title_fullStr |
The cohomology of monogenic extensions in the noncommutative setting |
| title_full_unstemmed |
The cohomology of monogenic extensions in the noncommutative setting |
| title_sort |
cohomology of monogenic extensions in the noncommutative setting |
| url |
http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati |
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1782029575405961216 |