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Vertex algebras, Kac-Moody algebras, and the Monster. [PDF]
Proc Natl Acad Sci U S A, 1986 Borcherds RE.
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Determination of a for the simple flexible algebras. [PDF]
Proc Natl Acad Sci U S A, 1968 Block RE.
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On the construction of division rings by the deformation of fields. [PDF]
Proc Natl Acad Sci U S A, 1966 Gerstenhaber M.
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SIMPLE SUBVARIETIES OF ANALYTIC VARIETIES. [PDF]
Proc Natl Acad Sci U S A, 1955 Samuel P.
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The Kerr/CFT Correspondence and its Extensions. [PDF]
Living Rev Relativ, 2012 Compère G.
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Some commutativity theorems for prime rings with derivations and differentially semiprime rings
Some commutativity theorems for prime rings with derivations and differentially semiprime ringsopenaire
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Ideals and Higher Derivations in Commutative Rings
Canadian Journal of Mathematics, 1972In this paper, we wish to generalize the following lemma first proven by O. Zariski [5, Lemma 4]. Let O be a complete local ring containing the rational numbers and let m denote the maximal ideal of O. Assume there exists a derivation δ of O such that δ(x) is a unit in O for some x in m.
Brown, William C., Kuan, Wei-Eihn
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Higher derivations and commutativity in lattice-ordered rings
Positivity, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andima, S., Pajoohesh, H.
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\(\Phi\)-derivations and commutativity of rings and algebras
2022Summary: The main purpose of this paper is to investigate the effect of \(\Phi \)-derivatives on the commutativity of rings and algebras. Let \(\mathfrak{R}\) be a 2-torsion free prime ring, \(d: \mathfrak{R} \rightarrow \mathfrak{R}\) be a \(\Phi\)-derivation such that \(\Phi\) is an epimorphism and \(d\Phi = \Phi d = d\). If \([\Phi (a), \Phi (x)]d(y)
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