Fuzzy stability of ring homomorphisms and ring derivations on fuzzy Banach algebras
M. Eshaghi Gordji, N. Ghobadipour
TL;DR
This paper investigates the stability of ring homomorphisms and derivations within fuzzy Banach algebras, extending classical stability concepts to fuzzy algebraic structures.
Contribution
It establishes the Hyers--Ulam--Rassias stability for ring homomorphisms and derivations on fuzzy Banach algebras, a novel extension in fuzzy algebra theory.
Findings
Proved stability of ring homomorphisms in fuzzy Banach algebras
Proved stability of ring derivations in fuzzy Banach algebras
Extended classical stability results to fuzzy algebraic structures
Abstract
In this paper, we establish the Hyers--Ulam--Rassias stability of ring homomorphisms and ring derivations on fuzzy Banach algebras.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra