Factorisation in the ring of exponential polynomials

G. R. Everest; A. J. Van Der Poorten

Factorisation in the ring of exponential polynomials

G. R. Everest^*, A. J. Van Der Poorten

^*Corresponding author for this work

Macquarie University Administration Unit

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1293-1298
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	5
Publication status	Published - 1997

Keywords

Exponential polynomial
Factorization
Group ring

Cite this

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AU - Everest, G. R.

AU - Van Der Poorten, A. J.

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AB - 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.

KW - Exponential polynomial

KW - Factorization

KW - Group ring

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M3 - Article

AN - SCOPUS:33646981841

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

Factorisation in the ring of exponential polynomials

Abstract

Keywords

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