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...

Descripción completa

Detalles Bibliográficos
Autores: Farinati, M., Guccione, J.A., Guccione, J.J.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Argentina
Institución:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
Repositorio:Biblioteca Digital (UBA-FCEN)
Idioma:inglés
OAI Identifier:paperaa:paper_00218693_v319_n12_p5101_Farinati
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v319_n12_p5101_Farinati
Access Level:acceso abierto
Palabra clave:Hochschild cohomology ring
Monogenic extensions
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.