Biseparable extensions are not necessarily Frobenius Gómez Torrecillas, José Lobillo Borrero, Francisco Javier Navarro Garulo, Gabriel Sánchez-Hernández, José Patricio Separable extension Split extension Frobenius extension Biseparable extension Ore polynomial ring We give necessary and sufficient conditions on an Ore extension A[x; σ, δ], where A is a finite dimensional algebra over a field F, for being a Frobenius extension of the ring of commutative polynomials F[x]. As a consequence, as the title of this paper highlights, we provide a negative answer to a problem stated by Caenepeel and Kadison. 2025-01-15T10:01:25Z 2025-01-15T10:01:25Z 2020-03-28 journal article https://hdl.handle.net/10481/99207 10.1007/s00209-020-02523-7 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional