Hilbert regularity of $\mathbb Z$-graded modules over polynomial rings
نویسندگان
چکیده
منابع مشابه
On polynomial approximations over $\mathbb{Z}/2^k\mathbb{Z}$
We study approximation of Boolean functions by low-degree polynomials over the ring Z/2kZ. More precisely, given a Boolean function F : {0, 1}n → {0, 1}, define its k-lift to be Fk : {0, 1}n → {0, 2k−1} by Fk(x) = 2k−F(x) (mod 2k). We consider the fractional agreement (which we refer to as γd,k(F)) of Fk with degree d polynomials from Z/2 Z[x1, . . . , xn]. Our results are the following: • Incr...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2017
ISSN: 1939-2346
DOI: 10.1216/jca-2017-9-2-157