A condition for cyclic algebras to be split

2007/03/13 by Susanne Pumpluen, Pumpluen, S.
Computer Science · Mathematics · #11E76 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.math/0703396

openalex publication_date 2007/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple sufficient condition for certain cyclic algebras of odd degree d to be split is presented. It employs certain binary forms of degree d and the values they represent. A similar sufficient condition for certain Albert algebras not to be division algebras is found as well.

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