The cohomology of monogenic extensions in the noncommutative setting

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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...

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Autores principales: Farinati, M., Guccione, J.A., Guccione, J.J.
Formato: Artículo publishedVersion
Publicado: 2008
Materias:
Hochschild cohomology ring
Monogenic extensions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v319_n12_p5101_Farinati_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
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spelling I28-R145-paper_00218693_v319_n12_p5101_Farinati_oai2024-08-16 Farinati, M. Guccione, J.A. Guccione, J.J. 2008 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Algebra 2008;319(12):5101-5124 Hochschild cohomology ring Monogenic extensions The cohomology of monogenic extensions in the noncommutative setting info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v319_n12_p5101_Farinati_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (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 Artículo
Artículo
publishedVersion
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
publishDate 2008
url http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v319_n12_p5101_Farinati_oai
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