Height preserving linear transformations on semisimple K-algebras

• Autores: Valerio Talamanca
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 1-2, 1997, págs. 217-234
• Idioma: inglés
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• Resumen

  • Let $A$ be a semisimple, commutative, finite $K$-algebra, $K$ a number field. In this paper we study a family of height functions on $A$ with special regard toward the characterization of height preserving $K$-linear transformations. The height functions that we examine are defined as a product over $\mathcal{M}_K$ (the set of places of $K$) of $v$-adic norms on the various completions $A_v = A\otimes_KK_v$.

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