Biseparable extensions are not necessarily Frobenius

Abstract: Necessary and sufficient conditions are given 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 talk highlights, we provide a negative answer to a problem stated by Caenepeel and Kadison. The involved ring-theoretical notions will be also discussed.

The talk is based on the joint paper with F.J. Lobillo, G. Navarro and P. Sánchez-Hernández

rings and algebrasrepresentation theory

Audience: researchers in the topic

( paper )

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ONCAS Online Noncommutative Algebra Seminar

Series comments: This is an online seminar organized to keep the community of noncommutative algebraists connected during the pandemic which has made it difficult for everyone to travel. If you would like to attend these talks, please email to any of the organizers and you will be added to the mailing list.

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