On approximate n-ring homomorphisms and n-ring derivations

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dc.creatorGordji, M. Eshaghi
dc.date2008-12-30
dc.date.accessioned2026-07-07T12:23:10Z
dc.date.available2026-07-07T12:23:10Z
dc.descriptionLet $A,B$ be two rings and let $ X$ be an $ A-$module. An additive map $h: A\to B$ is called n-ring homomorphism if $h(Π^n_{i=1}a_i)=Π^n_{i=1}h(a_i),$ for all $a_1,a_2, ...,a_n \in {A}$. An additive map $D: A\to X$ is called $n$-ring derivation if $$D(Π^n_{i=1}a_i)=D(a_1)a_2... a_n+a_1D(a_2)a_3... a_n+... +a_1a_2... a_{n-1}D(a_n),$$ for all $a_1,a_2, ...,a_n \in {\mathcal A}$. In this paper we investigate the Hyers-Ulam-Rassias stability of $n$-ring homomorphisms and n-ring derivations.
dc.identifierhttps://arxiv.org/abs/0812.5024
dc.identifierhttp://arxiv.org/abs/0812.5024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213896
dc.subjectFunctional Analysis
dc.subject39B52, 39B72, 46H25, 39B82
dc.titleOn approximate n-ring homomorphisms and n-ring derivations
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