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Siberian Mathematical Journal, 2006
Summary: Given a prime ring $R$, a skew $g$-derivation for $g\colon R\to R$ is an additive map $f\colon R\to R$ such that $f(xy)=f(x)g(y)+xf(y)=f(x)y+g(x)f(y)$ and $f(g(x))=g(f(x))$ for all $x,y\in R$. We generalize some properties of prime rings with derivations to the class of prime rings with skew derivations.
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JORDAN *-DERIVATIONS OF PRIME RINGS

Journal of Algebra and Its Applications, 2014
Let R be a prime ring, which is not commutative, with involution * and with Qms(R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a Jordan *-derivation if δ(x2) = δ(x)x* + xδ(x) for all x ∈ R. A Jordan *-derivation of R is called X-inner if it is of the form x ↦ xa - ax* for x ∈ R, where a ∈ Qms(R).
Lee, Tsiu-Kwen, Zhou, Yiqiang
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Derivations in prime rings.

2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Enhanced prime editing systems by manipulating cellular determinants of editing outcomes

Cell, 2021
Peter J Chen +2 more
exaly

2-PRIME IDEALS AND 2-PRIME RINGS

JP Journal of Algebra, Number Theory and Applications, 2021
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Phage-assisted evolution and protein engineering yield compact, efficient prime editors

Cell, 2023
Meirui An, Xin D Gao, Michelle F Richter
exaly

Prediction of efficiencies for diverse prime editing systems in multiple cell types

Cell, 2023
Goosang Yu, Hui Kwon Kim, Hyongbum-henry Kim +2 more
exaly

Structure of a quotient ring $$\pmb {R/P}$$ with generalized derivations acting on the prime ideal P and some applications

Indian Journal of Pure and Applied Mathematics, 2021
Lahcen Oukhtite
exaly