On an equation of ring homomorphisms

被引：0

作者：

Ger, R ^{[1
]}

机构：

[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 1998年 / 52卷 / 3-4期

关键词：

ring homomorphism; additivity; quadratic mappings; multiplicativity; Mikusinski's functional equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with a functional equation (*) f(x + y) + f(xy) = f(x) + f(y) + f(x)f(y) considered by J. DHOMBRES (Relations de dependance entre les equations fonctionnelles de Cauchy, Aequationes Mathematicae 35 (1988), 186-212) for functions f mapping a given ring into another one. Neither divisibility hypothesis nor the existence of the unit elements is assumed. Some alterations are also examined to answer the questions posed by LUDWIG REICH and JAIME GARCIA-ROIG during the 32nd International Symposium on Functional Equations (Gargnano, Italy, June 12-19, 1994) in connection with author's results on (*) presented overthere.

引用

页码：397 / 417

页数：21