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Characterization of field homomorphisms through Pexiderized functional equations
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2019-10-15 , DOI: 10.1080/10236198.2019.1677630 Eszter Gselmann 1 , Gergely Kiss 2 , Csaba Vincze 2
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2019-10-15 , DOI: 10.1080/10236198.2019.1677630 Eszter Gselmann 1 , Gergely Kiss 2 , Csaba Vincze 2
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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:
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。
更新日期:2019-10-15
中文翻译:
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。