The cyclic homology of monogenic extensions in the noncommutative setting
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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)].
💡 Research Summary
The paper develops a comprehensive framework for computing Hochschild and cyclic homology of non‑commutative monogenic extensions, i.e., algebras of the form (A = R
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