On approximate homomorphisms of ternary semigroups

The Journal of Nonlinear Sciences and its Applications

Krzysztof Ciepliński¹ 

[1] AGH University of Science and Technology, Faculty of Applied Mathematics, Mickiewicza 30, 30-059 Krakow, Poland.

关键词: Ulam stability;    (commutative) ternary semigroup;    ternary homomorphism;    n-Banach space;    (complete) non-Archimedean normed space;    p-adic numbers.;   

DOI  :  10.22436/jnsa.010.08.03

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

We prove the generalized Ulam stability of ternary homomorphisms from commutative ternary semigroups into\(n\)-Banach spaces as well as into complete non-Archimedean normed spaces. Ternary algebraic structures appear in various domains of theoretical and mathematical physics, and \(p\)-adic numbers, which are the most important examples of non-Archimedean fields, have gained the interest of physicists for their research in some problems coming from quantum physics, \(p\)-adic strings and superstrings.

【 授权许可】

Unknown