Remarks on derivations on semiprime rings
1992 ◽
Vol 15
(1)
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pp. 205-206
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We prove that a semiprime ringRmust be commutative if it admits a derivationdsuch that (i)xy+d(xy)=yx+d(yx)for allx,yinR, or (ii)xy−d(xy)=yx−d(yx)for allx,yinR. In the event thatRis prime, (i) or (ii) need only be assumed for allx,yin some nonzero ideal ofR.
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2018 ◽
Vol 7
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pp. 19-26
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1997 ◽
Vol 20
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pp. 413-415
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2010 ◽
Vol 2010
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pp. 1-6
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1976 ◽
Vol 28
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pp. 1067-1072
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2015 ◽
Vol 34
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pp. 29
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2019 ◽
Vol 63
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pp. 193-216