Title of article :
A Characterization of Jordan Left ∗-Centralizers Via Skew Lie and Jordan Products
Author/Authors :
Ali ، Shakir Department of Mathematics - Faculty of Sciences - Aligarh Muslim University , Abbasi ، Adnan Department of Mathematics and Science Education - Faculty of Sciences - Karamanoglu Mehmetbey University , Abdioglu ، Cihat Department of Mathematics - Faculty of Sciences - Aligarh Muslim University , Mozumder ، Muzibur R. Department of Mathematics - Faculty of Sciences - Aligarh Muslim University
Abstract :
Abstract. Let S be a prime ring and D be a bi-additive maps such that it satisfies the equation D(p2,s) = D(p,s)α(p) + β(p)D(p,s) for all p,s ∈S, then this map is called (α,β) Jordan bi-derivation associated with automorphisms α,β of S. In this paper, we have found the condition under which a symmetric (α,β) Jordan bi-derivations becomes a symmetric (α,β) bi-derivations on a prime ring S satisfies certain condition and also, in some result we characterize the symmetric (α,β) Jordan bi-derivations.
Keywords :
Involution , n , skew Jordan product , n , skew Lie product , Jordan centralizer , Jordan left , centralizer , Prime ring
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
