# On approximate homomorphisms of ternary semigroups

Volume 10, Issue 8, pp 4071--4076

Publication Date: 2017-08-06

http://dx.doi.org/10.22436/jnsa.010.08.03

K. Ciepliński

### Abstract

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.