Biseparable extensions are not necessarily Frobenius

Gómez Torrecillas, José; Lobillo Borrero, Francisco Javier; Navarro Garulo, Gabriel; Sánchez-Hernández, José Patricio

doi:10.1007/s00209-020-02523-7

s00209-020-02523-7.pdf (284.6Ko)

Identificadores

URI: https://hdl.handle.net/10481/99207

DOI: 10.1007/s00209-020-02523-7

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Materia

Separable extension

Split extension

Frobenius extension

Biseparable extension

Ore polynomial ring

Date

2020-03-28

Résumé

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.

Colecciones

FQM379 - Artículos

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