Multiplicative quadratic maps
| Autor: | Grüninger, Matthias |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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