On approximate homomorphisms of ternary semigroups :

Ciepliński, Krzysztof ¹

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

Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4071-4076

Résumé

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.

Détail

DOI : 10.22436/jnsa.010.08.03

Classification : 12J25, 17A40, 39B52, 39B82
Keywords: Ulam stability, (commutative) ternary semigroup, ternary homomorphism, n-Banach space, (complete) non-Archimedean normed space, p-adic numbers.

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