On (σ, τ)−Derivations in Prime Rings

By E. Guven. 2008

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How researchers see this paper

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Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras (2017, background): “The rst important result on linear (or additive) commuting maps is Posner’s theorem [27] from 1957.”
Commutativity theorems in rings with involution (2017, background): “Applying Posner’s theorem, we conclude that R is commutative.”
On generalized -derivations in -rings (2012, background): “A number of authors have extended these theorems of Posner and Mayne; they have showed that derivations, automorphisms, and some related maps cannot be centralizing on certain subsets of noncommutative prime (and some other) rings.”
Strong commutativity and Engel condition preserving maps in prime and semiprime rings (2013, unknown): “As an application of first Posner’s Theorem in [32] it follows that either a2Z(U) or b2Z(U), in any case a contradiction.”
AN ENGEL CONDITION WITH GENERALIZED DERIVATIONS ON LIE IDEALS (2008, background): “In [7] Lanski generalizes the result of Posner, by replacing the element x ∈ R with an element of a non-central Lie ideal L of R.”
Biderivations of finite-dimensional complex simple Lie algebras (2016, background): “The first important result on linear (or additive ) commuting maps is Posners theorem [15] from 1957.”