Polynomials inducing the zero function on chain rings
Abstract
We provide a minimal set of generators for the ideal of polynomials in that map the maximal ideal into one of its powers , where 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 that send to zero, where is a finite commutative local principal ideal ring.
Communicated by R. Wiegand
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