Factorisation in the ring of exponential polynomials
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- by G. R. Everest and A. J. van der Poorten PDF
- Proc. Amer. Math. Soc. 125 (1997), 1293-1298 Request permission
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.References
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Additional Information
- G. R. Everest
- Affiliation: School of Mathematics and Physics, University of East Anglia, Norwich NR4 7JT, England
- Email: g.everest@uea.ac.uk
- A. J. van der Poorten
- Affiliation: Centre for Number Theory Research, Macquarie University, New South Wales 2109, Australia
- Email: alf@mpce.mq.edu.au
- Received by editor(s): September 17, 1994
- Received by editor(s) in revised form: November 15, 1995
- Additional Notes: Work supported in part by grants from the SERC and the Australian Research Council, by a research agreement with Digital Equipment Corporation, and by the hospitality of Macquarie University to the first of us.
- Communicated by: William W. Adams
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1293-1298
- MSC (1991): Primary 11B37, 20K20
- DOI: https://doi.org/10.1090/S0002-9939-97-03919-1
- MathSciNet review: 1401740