2014/01/28 by Matthias Grüninger, Grüninger, Matthias
Mathematics · #12E30 #15A63 #17A75 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:12E30 #msc:15A63 #msc:17A75
paper · pdf · doi:10.48550/arxiv.1401.7265
openalex publication_date 2014/01/28 · arxiv created 2014/07/27 · arxiv updated 2014/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove that a multiplicative quadratic map between a unital ring K and a field L is induced by a homomorphism from K into L or a composition algebra over L. Especially we show that if K is a field, then every multiplicative quadratic map is the product of two field homomorphisms. Moreover, we prove a multiplicative version of Artin's Theorem showing that a product of field homomorphisms is unique up to multiplicity.