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math.AC2023★ 1 cited
The Ideal of Vanishing Polynomials and the Ring of Polynomial Functions
Matvey Borodin, Ethan Liu, Justin Zhang
Vanishing polynomials are polynomials over a ring which output for all elements in the ring. In this paper, we study the ideal of vanishing polynomials over specific types of r…
math.AC2023
Results on Vanishing Polynomials and Polynomial Root Counting
Matvey Borodin, Ethan Liu, Justin Zhang
We study the set of algebraic objects known as vanishing polynomials (the set of polynomials that annihilate all elements of a ring) over general commutative rings with identity. T…