5 papers
Dynamical sequences: closure properties and automatic identity proving
Jason P. Bell, Yuxuan Sun
Given an algebraically closed field , a dynamical sequence over is a -valued sequence of the form , where and $f\colon X\to\mathbb{…
On the Weierstrass Preparation Theorem over General Rings
Jason Bell, Peter Malcolmson, Frank Okoh +1
We study rings over which an analogue of the Weierstrass preparation theorem holds for power series. We show that a commutative ring admits a factorization of every power serie…
Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras
Jason P. Bell, Ken A. Brown, J. Toby Stafford
This paper addresses the interactions between three properties that a group algebra or more generally a pointed Hopf algebra may possess: being noetherian, having finite Gelfand-Ki…
Preperiodic points, finiteness, and structures of semigroups of algebraic morphisms
Jason P. Bell, Thomas J. Tucker
In this paper, we explore a variety of finiteness questions for preperiodic points of morphisms. We begin by treating a group action analog of the Burnside problem for torsion grou…
There are no good infinite families of toric codes
Jason P. Bell, Sean Monahan, Matthew Satriano +2
Soprunov and Soprunova introduced the notion of a good infinite family of toric codes. We prove that such good families do not exist by proving a more general Szemerédi-type resul…