On (m,n) (U,R) – Centralizers

Authors

  • Abdulrahmam H. Majeed Department of Mathematics, College of Science, Baghdad University, Baghdad,Iraq
  • Haneen F.Ghalib Department of Mathematics, College of Science, Baghdad University, Baghdad,Iraq

Keywords:

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

Abstract

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.

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Published

2023-03-30

Issue

Section

Mathematics

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