Height preserving linear transformations on semisimple \(K\)-algebras (Q1363144)
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scientific article; zbMATH DE number 1048944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Height preserving linear transformations on semisimple \(K\)-algebras |
scientific article; zbMATH DE number 1048944 |
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Height preserving linear transformations on semisimple \(K\)-algebras (English)
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14 August 1997
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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 \(M(K)\) (the set of places of \(K\)) of \(v\)-adic norms on the various completions \(A_v= A\otimes K_v\).
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height functions
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