ABSTRACT The aim of this paper is to prove characterization theorems for field homomorphisms. More precisely, the main result investigates the following problem. Let be arbitrary, a field and additive functions. Suppose further that equation is also satisfied. Then the functions are linear combinations of field homomorphisms from to .

中文翻译：

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通过 Pexiderized 函数方程表征场同态

摘要 本文的目的是证明场同态的刻画定理。更准确地说，主要结果调查了以下问题。让是任意的，一个字段和加法函数。进一步假设方程也满足。那么这些函数是从 到 的场同态的线性组合。