Sarah Nakato

activity

20172026

most citedSets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields

27 citations · 36 across the 8 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.AC2019

A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator

Sophie Frisch, Sarah Nakato

An irreducible element of a commutative ring is absolutely irreducible if no power of it has more than one (essentially different) factorization into irreducibles. In the case of t…

math.AC2019★ 8 cited

Non-absolutely irreducible elements in the ring of Integer-valued polynomials

Sarah Nakato

Let $R$ be a commutative ring with identity. An element $r \in R$ is said to be absolutely irreducible in $R$ if for all natural numbers $n > 1$ , $r^{n}$ has essentially only one facto…