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View article: A classification of generalized skew-derivations on multilinear polynomials in prime rings
A classification of generalized skew-derivations on multilinear polynomials in prime rings Open
In this article, we are intended to examine generalized skew-derivations that act as Jordan homoderivations on multilinear polynomials in prime rings. More specifically, we show that if $F$ is generalized skew-derivation of a prime ring $R…
View article: Jordan homoderivation behavior of generalized derivations in prime rings
Jordan homoderivation behavior of generalized derivations in prime rings Open
UDC 512.5 Suppose that is a prime ring with and is a noncentral multilinear polynomial over where is the Utumi quotient ring of An additive mapping is called homoderivation if …
View article: Generalized Derivations and Generalization of Co-commuting Maps in Prime Rings
Generalized Derivations and Generalization of Co-commuting Maps in Prime Rings Open
Suppose that $R$ is a prime ring of characteristic different from $2$ with Utumi quotient ring $U$, $C = Z(U)$ the extended centroid of $R$, and $f(x_1,\\ldots,x_n)$ a noncentral multilinear polynomial over $C$. If $F$, $G$ and $H$ are thr…