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

被引：13
|
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
收藏
页数：10
相关论文
共 50 条
  • [1] Ternary γ-homomorphisms and ternary γ-derivations on ternary semigroups
    Mehdi Dehghanian
    Mohammad Sadegh Modarres
    [J]. Journal of Inequalities and Applications, 2012
  • [2] Approximately Ternary Homomorphisms and Derivations on C*-Ternary Algebras
    Gordji, M. Eshaghi
    Ebadian, A.
    Ghobadipour, N.
    Rassias, J. M.
    Savadkouhi, M. B.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] C*-TERNARY HOMOMORPHISMS, C*-TERNARY DERIVATIONS, JB*-TRIPLE HOMOMORPHISMS AND JB*-TRIPLE DERIVATIONS
    Park, Choonkil
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (04)
  • [4] Approximate Homomorphisms of Ternary Semigroups
    M. Amyari
    M. S. Moslehian
    [J]. Letters in Mathematical Physics, 2006, 77 : 1 - 9
  • [5] Approximate homomorphisms of ternary semigroups
    Amyari, M.
    Moslehian, M. S.
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2006, 77 (01) : 1 - 9
  • [6] On approximate homomorphisms of ternary semigroups
    Cieplinski, Krzysztof
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4071 - 4076
  • [7] Approximate fuzzy ternary homomorphisms and fuzzy ternary derivations on fuzzy ternary Banach algebras
    Ebadian, Ali
    Abolfathi, Mohammad Ali
    Aghalary, Rasoul
    Park, Choonkil
    Shin, Dong Yun
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (01) : 174 - 185
  • [8] Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras
    Osbouei, Mostafa
    Gordji, Madjid Eshaghi
    Ebadian, Ali
    Asgari, Gholamreza
    Kenary, Hassan Azadi
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [9] Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras
    Mostafa Osbouei
    Madjid Eshaghi Gordji
    Ali Ebadian
    Gholamreza Asgari
    Hassan Azadi Kenary
    [J]. Advances in Difference Equations, 2012
  • [10] Homomorphisms and Derivations in C*-Ternary Algebras
    Najati, Abbas
    Park, Choonkil
    Lee, Jung Rye
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2009,
12345