Deep congruences + the Brauer-Nesbitt theorem

We prove that mod-$p$ congruences between polynomials in $\mathbb{Z}_p[X]$ are equivalent to deeper $p$-power congruences between power-sum functions of their roots. This result generalizes to torsion-free $\mathbb{Z}_{(p)}$-algebras modulo divided-power ideals. Our approach is combinatorial: we int...

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Hauptverfasser:	Anni, Samuele, Ghitza, Alexandru, Medvedovsky, Anna
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Commutative Algebra Mathematics - Number Theory
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