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The Kerr/CFT Correspondence and its Extensions. [PDF]

Living Rev Relativ, 2012
Compère G.
europepmc   +1 more source

Inner and Outer Twisted Derivations of Cyclic Group Rings

In this article, we study twisted derivations of cyclic group rings. Let $R$ be a commutative ring with unity, $G$ be a finite cyclic group, and ($σ, τ$) be a pair of $R$-algebra endomorphisms of the group algebra $RG$, which are $R$-linear extensions of
Sharma, Rajendra Kumar, Manju, Praveen
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Derivations on Commutative Rings

Journal of the London Mathematical Society, 1974
exaly   +3 more sources

Simple Lie Rings of Derivations of Commutative Rings

Journal of the London Mathematical Society, 1978
exaly   +3 more sources

Commutativity of rings with derivations

Acta Mathematica Hungarica, 2010
The authors extend a theorem of \textit{H. E. Bell} and \textit{M. N. Daif} [Acta Math. Hung. 66, No. 4, 337-343 (1995; Zbl 0822.16033)] proving that the commutativity of a unital prime ring with a non-zero derivation is equivalent to several conditions on derivations of some powers (Theorem 2.2). Under the additional assumption that the identity is in
Andima, S., Pajoohesh, H.
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On Commutativity of Rings With Derivations

Results in Mathematics, 2002
Let \(R\) be a ring, \(S\) a nonempty subset of \(R\), and \(Z\) the center of \(R\). For \(x,y\in R\) denote \(xy- yx\) by \([x, y]\) and \(xy + yx\) by \(x\circ y\). Let \(d\) be a derivation on \(R\). For prime \(R\) and \(S\) either an ideal or a Lie ideal, the authors study commutativity under the assumption that one of the following holds for all
Ashraf, Mohammad, Nadeem-ur-Rehman
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Commutativity of Near-rings with Derivations

Algebra Colloquium, 2014
In this paper we first prove that a near-ring admits a derivation if and only if it is zero-symmetric. Also, we prove some commutativity theorems for a non-necessarily 3-prime near-ring R with a suitably-constrained derivation d satisfying the condition that d(a) is not a left zero-divisor in R for some a ∈ R.
Kamal, Ahmed A. M., Al-Shaalan, Khalid H.   +1 more
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The Lie Structure of a Commutative Ring with a Derivation

Journal of the London Mathematical Society, 1978
Let $R$ be a commutative ring with identity and δ be a derivation of $R$. Then the set, $R$δ, of all derivations of $R$ of the form $r$δ : x → $r$δ(x), $r$ ∈ $R$, is a Lie subring of the Lie ring $D$(R) of derivations of $R$. In [2] the authors studied the structure of $D$(R) and found that $R$δ played an analogous role to that played by the Lie ring ...
Jordan, C. R., Jordan, D. A.
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