63 citations · 310 across the 93 of their papers we have counts for
6 papers · 1 filter
Transcendence tests for Mahler functions
Jason P. Bell, Michael Coons
We give two tests for transcendence of Mahler functions. For our first, we introduce the notion of the eigenvalue of a Mahler function , and develop a quick test for th…
A strong Dixmier-Moeglin equivalence for quantum Schubert cells
Jason Bell, Stéphane Launois, Brendan Nolan
Dixmier and Moeglin gave an algebraic condition and a topological condition for recognising the primitive ideals among the prime ideals of the universal enveloping algebra of a fin…
An isomorphism lemma for graded rings
Jason Bell, James J. Zhang
Let and be two connected graded algebras finitely generated in degree one. If is isomorphic to as ungraded algebras, then they are also isomorphic to each other as…
Some finiteness results on monogenic orders in positive characteristic
Jason P. Bell, Khoa D. Nguyen
This work is motivated by the papers [EG85] and [Ngu15] in which the following two problems are solved. Let is a finitely generated -algebra that is an in…
Free algebras and free groups in Ore extensions and free group algebras in division rings
Jason P. Bell, Jairo Z. Goncalves
Let be a field of characteristic zero, let be an automorphism of and let be a -derivation of . We show that the division ring either has the prop…
Iterative algebras
Jason P. Bell, Blake W. Madill
Given a finitely generated free monoid and a morphism , we show that one can construct an algebra, which we call an iterative algebra, in a natural way. We show that…