2020
DOI: 10.1007/s12215-020-00518-1
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On derivations, biderivations and superbiderivations of quaternion rings

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Cited by 4 publications
(2 citation statements)
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“…If W is a noncommutative ring, then the map δ(x, y) = λ[x, y] for all x, y ∈ W , where λ ∈ Z(W ), is called an inner bi-derivation. In [7] authors studied the bi-derivation on quaternion rings. In continuation, we study the Lie bi-derivation on Quaternion rings in the present article.…”
Section: An Essential Expressionmentioning
confidence: 99%
See 1 more Smart Citation
“…If W is a noncommutative ring, then the map δ(x, y) = λ[x, y] for all x, y ∈ W , where λ ∈ Z(W ), is called an inner bi-derivation. In [7] authors studied the bi-derivation on quaternion rings. In continuation, we study the Lie bi-derivation on Quaternion rings in the present article.…”
Section: An Essential Expressionmentioning
confidence: 99%
“…In 2020, Ghahramani et al [6] evaluated Lie derivations on quaternion rings and demonstrated that every Lie derivation is in standard form on acceptable quaternion rings. Again in 2021, Ghahramani et al [7] demonstrated that every Jordan derivation of W is a derivation, and that every derivation of W decomposes into the sum of an inner derivation and a derivation induced by a derivation on W .…”
Section: Introductionmentioning
confidence: 99%