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 cohomolo...

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Detalles Bibliográficos
Autores principales: Farinati, M., Guccione, J.A., Guccione, J.J.
Formato: JOUR
Materias:
Hochschild cohomology ring
Monogenic extensions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
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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