Sets of Lengths of Powers of a Variable
classification
🧮 math.AC
keywords
lengthspolynomialpolynomialsartinianfactorsfindforminteger
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A positive integer k is a length of a polynomial if that polynomial factors into a product of k irreducible polynomials. We find the set of lengths of polynomials of the form x^n in R[x], where (R, m) is an Artinian local ring with m^2 = 0.
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