Factorizations of polynomials with integral non-negative coefficients

We study the structure of the commutative multiplicative monoid N 0 [ x ] ∗ of all the non-zero polynomials in Z [ x ] with non-negative coefficients. The monoid N 0 [ x ] ∗ is not half-factorial and is not a Krull monoid, but has a structure very similar to that of Krull monoids, replacing valuatio...

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Veröffentlicht in:	Semigroup forum 2019-10, Vol.99 (2), p.317-332
Hauptverfasser:	Campanini, Federico, Facchini, Alberto
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Mathematical analysis Mathematics Mathematics and Statistics Monoids Polynomials Research Article
Online-Zugang:	Volltext
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