School of Mathematics and Physics, University of East Anglia, Norwich NR4 7JT, England ; Centre for Number Theory Research, Macquarie University, New South Wales 2109, Australia
Abstract:
We study factorisation in the ring of exponential polynomials and provide a proof of Ritt's factorisation theorem in modern notation and so generalised as to deal with polynomial coefficients as well as with several variables. We do this in the more general context of a group ring of a divisible torsion-free ordered abelian group over a unique factorisation domain.