Seminar “Factorizations of polynomials with integral non-negative coefficients" (Zoom), Open Seminar - School of Mathematical Sciences, Hebei Normal University, China.

Campanini, Federico
(2025) Open Seminar - School of Mathematical Sciences, Hebei Normal University — Location: Online seminar, Hebei Normal University, China. (13.June.2025)

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Factorizations of polynomials with integral non-negative coefficients Abstract: We study the structure of the commutative multiplicative monoid N0[x]∗ of all the non-zero polynomials in Z[x] with non-negative coefficients. We first recall some important tools for investigating non-unique factorizations in monoids (sets of lengths, elasticity, catenary degrees, etc.), and we show that N0[x]∗ is surprisingly very far from being factorial. Then, we describe prime elements and prime ideals of N0[x]∗, and we conclude with some open problems. The talk is based on joint work with Alberto Facchini.
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Campanini, F. (2025). Seminar “Factorizations of polynomials with integral non-negative coefficients” (Zoom), Open Seminar - School of Mathematical Sciences, Hebei Normal University, China. Open Seminar - School of Mathematical Sciences, Hebei Normal University, Online seminar, Hebei Normal University, China.