Generalized derivations preserving Engel condition in prime and semiprime rings
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Let [Formula: see text] be a prime ring with [Formula: see text], [Formula: see text] a non-central Lie ideal of [Formula: see text], [Formula: see text] its Martindale quotient ring and [Formula: see text] its extended centroid. Let [Formula: see text] and [Formula: see text] be nonzero generalized derivations on [Formula: see text] such that [Formula: see text] Then there exists [Formula: see text] such that [Formula: see text] and [Formula: see text], for any [Formula: see text], unless [Formula: see text], where [Formula: see text] is the algebraic closure of [Formula: see text].
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2016 ◽
Vol 59
(2)
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pp. 258-270
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2018 ◽
Vol 17
(03)
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pp. 1850046
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2014 ◽
Vol 2014
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pp. 1-8
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