Functional equations on semigroups with an endomorphism

被引：10

作者：

Fadli, B. ^{[1
]}

Kabbaj, S. ^{[1
]}

Sabour, Kh ^{[1
]}

Zeglami, D. ^{[2
]}

机构：

[1] Ibn Tofail Univ, Dept Math, Fac Sci, BP 14000, Kenitra, Morocco

[2] Moulay Ismail Univ, Dept Math, ENSAM, BP 15290, Al Mansur, Meknes, Morocco

来源：

ACTA MATHEMATICA HUNGARICA | 2016年 / 150卷 / 02期

关键词：

functional equation; d'Alembert; Jensen; multiplicative function; additive map; semigroup; endomorphism;

D O I：

10.1007/s10474-016-0635-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S be a semigroup, let H be an abelian group which is 2-torsion free, and let be an endomorphism. We determine the solutions of the functional equation in terms of multiplicative functions on S, and we show that any solution , when is surjective, of the functional equationhas the form , where is an additive map such that , and where is a constant. The endomorphism need not be involutive.

引用

页码：363 / 371

页数：9

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