Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings
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Let R be an associative ring, ; be the automorphisms of R, be a nonzero left ideal of R, F : R ! R be a generalized (; )-derivation and d : R ! Rbe an (; )-derivation. In the present paper we discuss the following situations: (i) F(xoy) = a(xy yx), (ii) F([x; y]) = a(xy yx), (iii) d(x)od(y) = a(xy yx) forall x; y 2 and a 2 f0; 1;ô€€€1g. Also some related results have been obtained.
2012 ◽
Vol 11
(06)
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pp. 1250111
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2010 ◽
Vol 2010
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pp. 1-6
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2014 ◽
Vol 2014
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pp. 1-8
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2013 ◽
Vol 86
(1-2)
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pp. 65-79
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2015 ◽
Vol 11
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pp. 1-3
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