%0 Journal Article
%T Characterizations of *-Lie derivable mappings on prime *-rings
%A Alkenani
%A Ahmad N.
%A Ashraf
%A Mohammad
%A Wani
%A Bilal Ahmad
%J -
%D 2019
%R 10.21857/y26kec3379
%X Sa£¿etak Let R be a *-ring containing a nontrivial self-adjoint idempotent. In this paper it is shown that under some mild conditions on R, if a mapping d : R ¡ú R satisfies d([U*, V]) = [d(U)*, V] + [U*, d(V)] for all U, V ¡Ê R, then there exists ZU,V ¡Ê Z(R) (depending on U and V), where Z(R) is the center of R, such that d(U + V) = d(U) + d(V) + ZU,V. Moreover, if R is a 2-torsion free prime *-ring additionally, then d = ¦× + ¦Î, where ¦× is an additive *-derivation of R into its central closure T and ¦Î is a mapping from R into its extended centroid C such that ¦Î(U + V) = ¦Î(U) + ¦Î(V) + ZU,V and ¦Î([U, V]) = 0 for all U, V ¡Ê R. Finally, the above ring theoretic results have been applied to some special classes of algebras such as nest algebras and von Neumann algebras
%K Prime rings
%K Lie derivable mappings
%K involution
%K extended centroid
%K central closure.
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=328278