TY - JOUR
ID -
TI - Generalized Jordan Triple -Higher Homomorphisms on Prime Rings
AU - Neshtiman N. Sulaiman
AU - Salah M. Salih
PY - 2020
VL - 23
IS - 3
SP - 76
EP - 82
JO - Al-Nahrain Journal of Science مجلة النهرين للعلوم
SN - 26635453 26635461
AB -
Herstein proved that any Jordan homomorphism onto a prime ring of characteristic of different from 2 and 3 is either a homomorphism or an anti-homomorphism. In this paper the concept of Generalized Jordan triple ( )–Higher Homomorphisms (GJT( )-HH) where and are two commuting homomorphisms are introduced as follows:A family of additive mappings of into is said to be a Generalized Triple -Higher Homomorphism (GT( )-HH) if there exist a triple-higher homomorphism (T ( ) – HH) such that for each and for all ,we have: ∑ ( ) ( ) ( )and is said to be the relating triple -HH.We will primarily extend the result of Herstein on it. It should be proved that every GJT( )-HH of ring into prime ring is either GT( )-HH or triple ( ) higher antihomomorphism (T( )-HAH).
ER -