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arXiv · 1401.7265

Multiplicative quadratic maps

Matthias Grüninger
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Abstract

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.

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Matthias Grüninger. 2014-07-27. Multiplicative quadratic maps. https://arxiv.org/abs/1401.7265

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