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Transfer results for Frobenius extensions

Launois, Stephane, Topley, Lewis (2019) Transfer results for Frobenius extensions. Journal of Algebra, 524 . pp. 35-58. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2019.01.006) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

We study Frobenius extensions which are free-filtered by a totally ordered, finitely generated abelian group, and their free-graded counterparts. First we show that the Frobenius property passes up from a free-graded extension to a free-filtered extension, then also from a free-filtered extension to the extension of their Rees algebras. Our main theorem states that, under some natural hypotheses, a free-filtered extension of algebras is Frobenius if and only if the associated graded extension is Frobenius. In the final section we apply this theorem to provide new examples and non-examples of Frobenius extensions.

Item Type: Article
DOI/Identification number: 10.1016/j.jalgebra.2019.01.006
Uncontrolled keywords: Frobenius extensions; deformation theory; associative algebras.
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Stephane Launois
Date Deposited: 30 Jan 2019 15:53 UTC
Last Modified: 30 May 2019 08:51 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/72094 (The current URI for this page, for reference purposes)
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