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The Ideal of Polynomials Vanishing on a Commutative Ring

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1265-1267

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Abstract : We determine equivalent conditions on a commutative Artinian ring S in order that the ideal of S[t] consisting of polynomials that vanish on S should be principal. Our results correct an error in a paper of Niven and Warren.

Keyword : Primary 13B25 . Secondary 13E10 . Vanishing polynomials . Artinian rings

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