On (m,n) (U,R) – Centralizers
Prime ring
Semiprime ring
Left (right) Centralizer
Left(right) Jordan Centalizer
(m
n)-Jordan Centralizer
Left(righ)(m
n)(U
R)-Centralizer
(m
n)(U
R)-Centalizer
Let m ≥ 1,n ≥ 1 be fixed integers and let R be a prime ring with char (R) ≠2 and
(m+n). Let T be a (m,n)(U,R)-Centralizer where U is a Jordan ideal of R and T(R)
⊆ Z(R) where Z(R) is the center of R ,then T is (U,R)- Centralizer.