On approximate homomorphisms of ternary semigroups
نویسندگان
چکیده
منابع مشابه
On approximate homomorphisms of ternary semigroups
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...
متن کاملApproximate C-ternary Ring Homomorphisms
In this paper, we establish the generalized Hyers–Ulam–Rassias stability of C-ternary ring homomorphisms associated to the Trif functional equation d · C d−2f( x1 + · · ·+ xd d ) + C d−2 d ∑
متن کاملClassification of Monogenic Ternary Semigroups
The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index...
متن کاملApproximate C-ternary Ring Homomorphisms Associated to the Trif Equation
In this paper, we establish the generalized Hyers–Ulam–Rassias stability of C-ternary ring homomorphisms associted to the Trif functional equation d · C d−2f( x1 + · · ·+ xd d ) + C d−2 d ∑
متن کاملApproximate Representations and Approximate Homomorphisms
Approximate algebraic structures play a defining role in arithmetic combinatorics and have found remarkable applications to basic questions in number theory and pseudorandomness. Here we study approximate representations of finite groups: functions ψ : G → Ud such that Pr[ψ(xy) = ψ(x) ψ(y)] is large, or more generally Ex,y ‖ψ(xy)− ψ(x) ψ(y)‖22 is small, where x, y are uniformly random elements ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.08.03