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arXiv · 1909.09426

Biseparable extensions are not necessarily Frobenius

José Gómez-Torrecillas·F. J. Lobillo·Gabriel Navarro·José Patricio Sánchez-Hernández
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Abstract

We give necessary and sufficient conditions on an Ore extension $A[x;σ,δ]$, where $A$ is a finite dimensional algebra over a field $\mathbb{F}$, for being a Frobenius extension over the ring of commutative polynomials $\mathbb{F}[x]$. As a consequence, as the title of this paper highlights, we provide a negative answer to a problem stated by Caenepeel and Kadison.

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José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro, José Patricio Sánchez-Hernández. 2020-01-24. Biseparable extensions are not necessarily Frobenius. https://arxiv.org/abs/1909.09426

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