Approximate n‐Lie Homomorphisms and Jordan n‐Lie Homomorphisms on n‐Lie Algebras | Zendy

M‎. ‎Eshaghi Gordji | Zendy; Gwang Hui Kim | Zendy

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Approximate n‐Lie Homomorphisms and Jordan n‐Lie Homomorphisms on n‐Lie Algebras

Author(s) -

M‎. ‎Eshaghi Gordji,

Gwang Hui Kim

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/279632

Subject(s) - mathematics , homomorphism , adjoint representation of a lie algebra , representation of a lie group , simple lie group , graded lie algebra , lie algebra , pure mathematics , killing form , algebra over a field , lie theory , lie conformal algebra , adjoint representation

Using fixed point methods, we establish the stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras associated to the following generalized Jensen functional equation mu f(Sigma(n)(i=1) x(i)/n) + mu Sigma(n)(j=2) f(Sigma(n)(i=1,i not equal j) x(i) - (n -1)x(j)/n) = f(mu x(1))(n >= 2).

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