Ternary γ-homomorphisms and ternary γ-derivations on ternary semigroups

被引：14

作者：

Dehghanian, Mehdi ^{[1
]}

Modarres, Mohammad Sadegh ^{[1
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

ternary semigroup; ternary gamma homomorphism; ternary gamma derivation; ternary; (gamma; h)-derivation; STABILITY;

D O I：

10.1186/1029-242X-2012-34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notions of gamma-homomorphism and gamma-derivation of a ternary semigroup and investigate gamma-homomorphism and gamma-derivations on ternary semigroup associated with the following functional in-equality vertical bar f([xyz]) - f(x) - f(y) - f(z)vertical bar <= phi(x, y, z) and vertical bar f([xxx]) - 3f(x)vertical bar <= phi(x, x, x), respectively.

引用

页数：10

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