Title of article :
On (n;m)-Jordan Homomorphisms on Algebras
Author/Authors :
Neghabim, M Islamic Azad University of South Tehran , Bodaghi, A Islamic Azad University of Garmsar , Zivari-Kazempour, A Ayatollah Borujerdi University
Abstract :
In this paper, it is shown that every (n;m)-Jordan homo-
morphism between two commutative algebras is an (n;m)-homomorphism.
For the non-commutative case, it is proved that every surjective (2;m)-
Jordan homomorphism from an algebra A into a semiprime commuta-
tive algebra B is a (2;m)-homomorphism.
Keywords :
semisimple , n-Jordan homomorphism , n-homomorphism , (n;m)-Jordan homomorphism
Journal title :
Journal of Mathematical Extension(IJME)
