Results 1 to 10 of about 222 (32)
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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The group of automorphisms of the first weyl algebra in prime characteristic and the restriction map [PDF]
, 2009 Let K be a perfect field of characteristic p > 0; A(1) := K be the first Weyl algebra; and Z := K[X := x(p), Y := partial derivative(p)] be its centre.
Belov-Kanel +6 more
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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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Polynomials with constant Hessian determinants in dimension three [PDF]
, 2015 In this paper, we show that the Jacobian conjecture holds for gradient maps in dimension n
de Bondt, Michiel
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A note on the divergence-free Jacobian Conjecture in R^2
, 2009 We give a shorter proof to a recent result by Neuberger, in the real case. Our result is essentially an application of the global asymptotic stability Jacobian Conjecture.
Sabatini, Marco
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About Dixmier's conjecture [PDF]
, 2014 The well-known Dixmier conjecture asks if every algebra endomorphism of the first Weyl algebra over a characteristic zero field is an automorphism. We bring a hopefully easier to solve conjecture, called the $\gamma,\delta$ conjecture, and show that it ...
Moskowicz, Vered
core
Foliations, solvability and global injectivity
, 2016 Let F: R^n -> R^n be a C^\infty map such that DF(x) is invertible for all x in R^n. We know that F is a local diffeomorphism but, in general, it is not globally injective.
Braun, Francisco +2 more
core
On the Rational Real Jacobian Conjecture
, 2013 Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere defined maps of real n-space to itself are considered, with no requirement for a constant Jacobian determinant or a rational inverse.
Campbell, L. Andrew
core
A deformation of commutative polynomial algebras in even numbers of variables
Open Mathematics, 2010 Zhao Wenhua
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