Nearly $k-th$ Partial Ternary Cubic $*$-Derivations On Non-Archimedean $\ell$-Fuzzy $C^{*}$-Ternary Algebras

In this paper, we investigate approximations of the $k-th$ partial ternary cubic derivations on non-Archimedean $\ell$-fuzzy Banach ternary algebras and non-Archimedean $\ell$-fuzzy $C^{*}$-ternary algebras. First, we study non-Archimedean and $\ell$-fuzzy spaces, and then  prove the stability of pa...

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Bibliographic Details
Published in:Sahand Communications in Mathematical Analysis
Main Author: Mohammad Ali Abolfathi
Format: Article
Language:English
Published: University of Maragheh 2022-09-01
Subjects:
partial ternary derivation
cubic derivation
non-archimedean $\ell$-fuzzy algebra
$c^{*}$-ternary algebra
hyers-ulam-rasias stability
Online Access:https://scma.maragheh.ac.ir/article_251968_1124b5bfb4a5fd95ef9179be88a44ba4.pdf
Description
Summary:In this paper, we investigate approximations of the $k-th$ partial ternary cubic derivations on non-Archimedean $\ell$-fuzzy Banach ternary algebras and non-Archimedean $\ell$-fuzzy $C^{*}$-ternary algebras. First, we study non-Archimedean and $\ell$-fuzzy spaces, and then  prove the stability of partial ternary cubic $*$-derivations on non-Archimedean $\ell$-fuzzy $C^{*}$-ternary algebras. We therefore provide a link among different disciplines: fuzzy set theory, lattice theory, non-Archimedean spaces, and mathematical analysis.
ISSN:2322-5807
2423-3900

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