Results 1 to 10 of about 283 (38)
THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER [PDF]
Forum of Mathematics, Sigma, 2020 We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of exceptional curves and $b$ is the first Betti number of the dual graph.
HANNAH BERGNER, PATRICK GRAF
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Irreducible Jacobian derivations in positive characteristic
Open Mathematics, 2014 We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an n-1-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of
Jędrzejewicz Piotr
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A characterization of p-bases of rings of constants
Open Mathematics, 2013 We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a UFD of characteristic p>0.
Jędrzejewicz Piotr
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Recent developments in combinatorial aspects of normal ordering
Enumerative Combinatorics and Applications, 2021 In this paper, we report on recent progress concerning combinatorial aspects of normal ordering. After giving a short introduction to the history and motivation of normal ordering, we present some recent developments.
M. Schork
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Almost partial generalized Jordan derivations: a fixed point approach
Journal of Inequalities and Applications, 2012 Using fixed point method, we investigate the Hyers-Ulam stability and the superstability of partial generalized Jordan derivations on Banach modules related to Jensen type functional equations.
M. Gordji, Choonkill Park, Jung Rye Lee
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Images of Locally Finite Derivations of Polynomial Algebras in Two Variables [PDF]
, 2010 In this paper we show that the image of any locally finite $k$-derivation of the polynomial algebra $k[x, y]$ in two variables over a field $k$ of characteristic zero is a Mathieu subspace.
Arno van den Essen +15 more
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Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations
, 2017 New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered and exploited. The aim of the
A. Berarducci +2 more
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Fixed Point Theory and Applications, 2012 Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras.
Choonkill Park, M. Gordji, Y. Cho
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Jordan Derivations on Lie Ideals of Prime T-Rings
, 2017 The details of the research can be found in the full paper. Keywords: Derivation, Jordan derivation, Lie ideal, admissible Lie ideal, square closed Lie ideal,prime ????-ring.2010 AMS Subject Classication: Primary 13N15; Secondary 16W10,17C50.
A. C. Paul, Mizanor Rahman
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Divergence-free polynomial derivations
, 2017 In this paper we present some new and old properties of divergences and divergence-free derivations. Throughout the paper all rings are commutative with unity. Let k be a ring and let d be a k-derivation of the polynomial ring k[X] = k[x1, . . .
A. Nowicki
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