2015
DOI: 10.1007/s13366-015-0262-6
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Identities related to generalized derivation on ideal in prime rings

Abstract: Let R be a prime ring with center Z (R), I a non-zero ideal of R and α : R → R any mapping on R. Suppose that G and F are two generalized derivations associated with derivations g and d respectively on R.

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Cited by 25 publications
(9 citation statements)
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“…Pre-multiply ( 17) by z and subtract it from (18) in order to find Similarly, with some necessary variations we can prove the same conclusions for G(uv…”
Section: Results On Lie Idealssupporting
confidence: 55%
See 2 more Smart Citations
“…Pre-multiply ( 17) by z and subtract it from (18) in order to find Similarly, with some necessary variations we can prove the same conclusions for G(uv…”
Section: Results On Lie Idealssupporting
confidence: 55%
“…Thus, it would be a fact of interest to prove the results of generalized derivations for multiplicative (generalized)-derivations. Recently, a number of results involving multiplicative (generalized)derivations has been obtain (see [10,14,15,18] and references therein). Tiwari et.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Thus, it would be a fact of interest to prove the results of generalized derivation for multiplicative (generalized)derivations. In this direction many results has been obtained during last five years (see [6,[12][13][14]). Recently, Tiwari et al [12] studied the following identities involving generalized derivations on some appropriate subsets of prime rings:…”
Section: Xy ϵ Z(r) Holds For All X Y ϵ I Then R Contains a Nonzero mentioning
confidence: 99%
“…Let R be a prime ring, I an ideal of R, α a map on R, and G, F be two generalized derivations on R. Tiwari et al [15], studied the commutativity of such a ring if anyone of the following is central:…”
Section: Introductionmentioning
confidence: 99%