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arxiv: 0705.1152 · v1 · submitted 2007-05-08 · 🧮 math.KT

The cyclic homology of monogenic extensions in the noncommutative setting

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keywords cyclicalgebrasextensionshochschildhomologieshopfmonogenicnoncommutative
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We study the Hochschild and cyclic homologies of noncommutative monogenic extensions. As an aplication we compute the Hochschild and cyclic homologies of the rank~1 Hopf algebras introduced by L. Krop and D. Radford in [Finite dimensional Hopf algebras of rank 1 in characteristic 0, Journal of Algebra 302, no. 1, 214-230} (2006)].

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