Factorizations of tropical and sign polynomials

Alexander Agudelo, Oliver Lorscheid*

*Corresponding author voor dit werk

OnderzoeksoutputAcademicpeer review

3 Citaten (Scopus)
58 Downloads (Pure)

Samenvatting

In this text, we study factorizations of polynomials over the tropical hyperfield and the sign hyperfield, which we call tropical polynomials and sign polynomials, respectively. We classify all irreducible polynomials in either case. We show that tropical polynomials factor uniquely into irreducible factors, but that unique factorization fails for sign polynomials. We describe division algorithms for tropical and sign polynomials by linear terms that correspond to roots of the polynomials.

Originele taal-2English
Pagina's (van-tot)797-812
Aantal pagina's16
TijdschriftIndagationes Mathematicae
Volume32
Nummer van het tijdschrift4
DOI's
StatusPublished - jul.-2021

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