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Polynomials inducing the zero function on chain rings

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We provide a minimal set of generators for the ideal of polynomials in R[x] that map the maximal ideal ???? into one of its powers ????n, where (R, ????) is… Click to show full abstract

We provide a minimal set of generators for the ideal of polynomials in R[x] that map the maximal ideal ???? into one of its powers ????n, where (R, ????) is a discrete valuation ring with a finite residue field. We use this to provide a minimal set of generators for the ideal of polynomials in R[x] that send ???? to zero, where (R, ????) is a finite commutative local principal ideal ring.

Keywords: polynomials inducing; inducing zero; chain rings; function chain; zero function

Journal Title: Journal of Algebra and Its Applications
Year Published: 2017

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