The cohomology of monogenic extensions in the noncommutative setting |
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Authors: | Marco Farinati Jorge A Guccione Juan J Guccione |
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Institution: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
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Abstract: | 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]. |
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