On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings
Keyword(s):
R And D
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Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]? = [a,b]_?^((?,?) ) holds for all a,b?R and ???. In this paper, we investigate the commutativity of R by the strong commutativity preserving (?,?)-derivation d satisfied some properties, when R is prime and semi prime ?-ring.
2015 ◽
Vol 58
(2)
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pp. 263-270
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2012 ◽
Vol 31
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pp. 65-70
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2014 ◽
Vol 33
(2)
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pp. 179-186
2012 ◽
Vol 436
(9)
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pp. 3099-3108
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Keyword(s):
2018 ◽
Vol 11
(1)
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pp. 79
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Keyword(s):
2010 ◽
Vol 17
(spec01)
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pp. 865-874
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