V. V. Bavula

1. An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
   2012/09/29 by V.V. Bavula, V. V. Bavula · 4 citations
   Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry and Number Theory
2. Description of bi-quadratic algebras on 3 generators with PBW basis
   2021/12/21 by V. V. Bavula, Bavula, V. V. · 3 citations
   Computer Science · #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA)
3. Gelfand-Kirillov dimension of commutative subalgebras of simple infinite dimensional algebras and their quotient division algebras
   2004/01/20 by V. Bavula, V. V. Bavula, Bavula, V. · 2 citations
   Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Symplectic Geometry (math.SG) #math.RA #math.SG
4. Dixmier's Problem 5 for the Weyl Algebra
   2004/03/02 by V. V. Bavula, Bavula, V. V. · 1 citation
   Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
5. Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic
   2006/05/02 by V. V. Bavula, Bavula, V. V. · 1 citation
   Mathematics · #13N10 #16D30 #16P90 #16S32 #16W70 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Rings and Algebras (math.RA)
6. Morita invariance of the filter dimension and of the inequality of Bernstein
   2006/10/29 by V. V. Bavula, Bavula, V. V., V. Hinchcliffe +1 · 1 citation
   Mathematics · #13N10 #16D30 #16P90 #16S32 #16W70 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:13N10 #msc:16D30 #msc:16P90 #msc:16S32 #msc:16W70
7. The \rm Jacobian Conjecture_2n implies the \rm Dixmier Problem_n
   2005/12/12 by V. V. Bavula, Bavula, V. V. · 1 citation
   Mathematics · Physics and Astronomy · #14H37 #14R15 #16S32 #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.AG #math.RA #msc:14H37 #msc:14R15 #msc:16S32
8. The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations
   2012/04/22 by V. V. Bavula, Bavula, V. V. · 1 citation
   Mathematics · Physics and Astronomy · #17B30 #17B40 #17B65 #17B66 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)
9. Bi-quadratic algebras on 3 generators with PBW: class II.1
   2023/12/28 by V. V. Bavula, Bavula, Volodymyr, A. Al Khabyah +1 · 1 citation
   Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons