On approximate homomorphisms of ternary semigroups
Authors
Krzysztof Ciepliński
- AGH University of Science and Technology, Faculty of Applied Mathematics, Mickiewicza 30, 30-059 Krakow, Poland.
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.
Keywords
- Ulam stability
- (commutative) ternary semigroup
- ternary homomorphism
- n-Banach space
- (complete) non-Archimedean normed space
- p-adic numbers.
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