2 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
The Carlitz Algebras
V. V. Bavula
The Carlitz -algebra , , is generated by an algebraically closed field $\CK $ (which contains a non-discrete locally compact field of positive…
Finite generation of division subalgebras and of the group of eigenvalues for commuting derivations or automorphisms of division algebras
V. V. Bavula
Let be a division algebra such that $D\t D^o$ is a Noetherian algebra, then any division subalgebra of is a {\em finitely generated} division algebra. Let $\D $ be a finite…
Dixmier's Problem 5 for the Weyl Algebra
V. V. Bavula
A proof is given to the Dixmier's 5'th problem for the Weyl algebra.
Dixmier's Problem 6 for the Weyl Algebra (the Generic type Problem)
V. Bavula
A short proof is given to Dixmier's 6'th problem for the Weyl algebra (and other algebras of Gelfand-Kirillov dimension which is less than 3 like rings of differential operators on…
Gelfand-Kirillov dimension of commutative subalgebras of simple infinite dimensional algebras and their quotient division algebras
V. Bavula
For central simple finitely generated algebras of finite Gelfand-Kirillov dimension and for their division algebras upper bounds are obtained for the transcendence degree of their…