V. Bavula

activity

20042013

most citedThe inversion formulae for automorphisms of polynomial algebras and differential operators in prime characteristic

7 citations · 19 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.RA2005

The $JacobianConjecture_{2 n}$ implies the $DixmierProblem_{n}$

V. V. Bavula

Using the author's inversion formula for automorphisms of the Weyl algebras with polynomial coefficients and the bound on its degree a slightly shorter (algebraic) proof is given o…

math.RA2005

Filter Dimension

V. Bavula

Intuitively, the filter dimension of an algebra or a module measures how `close' standard filtrations of the algebra or the module are. In particular, for a simple algebra it also…

math.RA2005

Finite generation of division subalgebras and of the group of eigenvalues for commuting derivations or automorphisms of division algebras

V. V. Bavula

Let $D$ be a division algebra such that $D\t D^o$ is a Noetherian algebra, then any division subalgebra of $D$ is a {\em finitely generated} division algebra. Let $\D $ be a finite…

The JacobianConjecture2n​ implies the DixmierProblemn​

Filter Dimension

Finite generation of division subalgebras and of the group of eigenvalues for commuting derivations or automorphisms of division algebras

The $JacobianConjecture_{2 n}$ implies the $DixmierProblem_{n}$