Differential identities in prime rings
Keyword(s):
Let R be a prime ring with center Z(R) and alpha,beta be automorphisms of R. This paper is divided into two parts. The first tackles the notions of (generalized) skew derivations on R, as the subject of the present study, several characterization theorems concerning commutativity of prime rings are obtained and an example proving the necessity of the primeness hypothesis of R is given. The second part of the paper tackles the notions of symmetric Jordan bi (alpha,beta)-derivations. In addition, the researchers illustrated that for a prime ring with char(R) different from 2, every symmetric Jordan bi (alpha,alpha)-derivation D of R is a symmetric bi (alpha,alpha)-derivation.
Keyword(s):
2018 ◽
Vol 11
(1)
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pp. 79
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2013 ◽
Vol 31
(2)
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pp. 113
2019 ◽
Vol 17
(72)
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pp. 87-92