Now showing items 1-7 of 7

• #### Lie ideals and (?,?)-derivations of *-prime rings ﻿

Let (R, *) be a 2-torsion free *-prime ring with involution *, L ? {0} be a *-Lie ideal of R. An additive mapping d: R ? R is called an (?,?)-derivation of R such that d(xy) = d(x)?(y) + ?(x)d(y). In the present paper, we ...
• #### A note on (?, ?)-derivations of rings with involution ﻿

Let R be a 2-torsion free simple *-ring and D : R ? R be an additive mapping satisfiying D(xx*)= D(x)?(x*)+?(x)D(x*), for all x ? R. Then D is a (?, ?)-derivation of R or R is S4 ring. Also, if R is a 2-torsion free semiprime ...
• #### Notes on generalized (?, ?)-derivation ﻿

Let R be a prime ring with charR ? 2 and let ?, ? be automorphisms of R. An additive mapping f: R ? R is called a generalized (?, ?)-derivation if there exists a (?, ?)-derivation d: R ? R such that f(xy) = f(x)?(y) + ...
• #### Notes on generalized Jordan (?, ?)* - Derivations of semiprime rings with involution ﻿

(2014)
Let R be a 6-torsion free semiprime *-ring, ? an endomorphism of R, ? an epimorphism of R and f: R ? R an additive mapping. In this paper we proved the following result: f is a generalized Jordan (?, ?)* -derivation if and ...
• #### On rings of quotients of semiprime ?-rings ﻿

In this paper, we investigate the rings of quotients of a semiprime ?-ring. © 2012 Miskolc University Press.
• #### Some commutativity theorems of prime rings with generalized (?, ?)-derivation ﻿

In this paper, we extend some well known results concerning generalized derivations of prime rings to a generalized (?, ?)-derivation. © 2011 The Korean Mathematical Society.
• #### Some results on generalized (?, ?)-derivations in ?-prime rings ﻿

We extend some well known commutativity results concerning a nonzero square closed ?-Lie ideal and generalized (?, ?)-derivations of ?-prime rings. © 2015 Muhammad Anwar Chaudhry et al.