3 citations · 3 across the 7 of their papers we have counts for
7 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{A}…
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…
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…
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…
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 result…
Noncommutative point spaces of symbolic dynamical systems
Jason P. Bell, Be'eri Greenfeld
We study point modules of monomial algebras associated with symbolic dynamical systems, parametrized by proalgebraic varieties which 'linearize' the underlying dynamical systems. F…