Permuting tri-derivations in prime and semi-prime rings
2016 ◽
Vol 5
(1)
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pp. 52
Let \(R\) be a ring and \(U\neq0\) be a square closed Lie ideal of \(R\). A tri-additive permuting map \(D:R\times R\times R\rightarrow R\) is called permuting tri-derivation if, for any \(y,z\in R\), the map \(x\mapsto D(x,y,z)\) is a derivation. A mapping \(d:R\rightarrow R\) defined by \(d(x)=D(x,x,x)\) is called the trace of \(D\). In the present paper, we show that \(U\subseteq Z\) such that \(R\) is a prime and semi-prime ring admitting the trace $d$ satisfying the several conditions of permuting tri-derivation.
2016 ◽
Vol 10
(02)
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pp. 1750032
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2016 ◽
Vol 35
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pp. 73-77
Keyword(s):
2019 ◽
Vol 19
(02)
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pp. 2050025
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2015 ◽
Vol 39
(2)
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pp. 249-255
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2007 ◽
Vol 2007
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pp. 1-6
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Keyword(s):
1992 ◽
Vol 35
(4)
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pp. 510-514
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Keyword(s):