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...
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Autores principales: | , , |
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Formato: | Artículo publishedVersion |
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2008
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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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Sumario: | 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. |
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