3 papers
math.RA2026
Filtered deformations of three-variable polynomial algebras
Jason Bell, Boris Li
We classify all filtered deformations of polynomial rings in three variables. We use our characterization to answer a special case of a question of Etingof by showing that if i…
math.RA2023
Filtered deformations of commutative algebras of Krull dimension two
Jason Bell
Let be an algebraically closed field of positive characteristic and let be a finitely generated -algebra with a filtration with the property that the associated graded r…
math.RA2010
Primitive algebraic algebras of polynomially bounded growth
Jason P. Bell, Lance W. Small, Agata Smoktunowicz
We show that if is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic -algebra whose Gelfand-Kirillov dimension is at m…