37 citations · 88 across the 27 of their papers we have counts for
27 papers
Description of bi-quadratic algebras on 3 generators with PBW basis
V. V. Bavula
The aim of the paper is to give an explicit description of bi-quadratic algebras on 3 generators with PBW basis.
Holonomic modules and 1-generation in the Jacobian Conjecture
V. V. Bavula
A polynomial endomorphism is called a Jacobian map if its Jacobian is a nonzero scalar (the field has zero characteristic). Each Jacobian map is extende…
Simplicity criteria for rings of differential operators
V. V. Bavula
Let be a field of arbitrary characteristic, $\CA$ be a commutative -algebra which is a domain of essentially finite type (eg, the algebra of functions on an irreducible affi…
Explicit description of generalized weight modules of the algebra of polynomial integro-differential operators
V. V. Bavula, V. Bekkert, V. Futorny
For the algebra of polynomial integro-differential operators over a field of characteristic zero, a classification of simple weight and generalized weight (left and right…
A remark on the Dixmier Conjecture
V. V. Bavula, V. Levandovskyy
The Dixmier Conjecture says that every endomorphism of the (first) Weyl algebra (over a field of characteristic zero) is an automorphism, i.e., if for some $P, Q \i…
The global dimension of the algebras of polynomial integro-differential operators and the Jacobian algebras
V. V. Bavula
The aim of the paper is to prove two conjectures that the (left and right) global dimension of the algebra of polynomial integro-differential operators and the Jacob…