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- W1874963313 abstract "Let $R$ be a noncommutative primering with its Utumi ring of quotients $U$, $C=Z(U)$ the extendedcentroid of $R$, $F$ a generalized derivation of $R$ and $I$ anonzero ideal of $R$. Suppose that there exists $0neq ain R$ such that $a(F([x,y])^n-[x,y])=0$ for all $x,y in I$, where $ngeq 1$ is a fixedinteger. Then either $n=1$ and $F(x)=bx$ for all $xin R$ with$a(b-1)=0$ or $ngeq 2$ and one of the following holds: 1. char $(R)neq 2$, $Rsubseteq M_2(C)$, $F(x)=bx$ for all$xin R$ with $a(b-1)=0$ (In this case $n$ is an odd integer); 2. char $(R)= 2$, $Rsubseteq M_2(C)$ and $F(x)=bx+[c,x]$ forall $xin R$ with $a(b^n-1)=0$." @default.
- W1874963313 created "2016-06-24" @default.
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- W1874963313 date "2015-05-01" @default.
- W1874963313 modified "2023-09-28" @default.
- W1874963313 title "GENERALIZED DERIVATIONS WITH ANNIHILATOR CONDITIONS IN PRIME RINGS" @default.
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- W1874963313 doi "https://doi.org/10.11650/tjm.19.2015.4043" @default.
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