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《College Mathematics》 2015-01
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A Note about Polynomial Mapping of Varieties on Finite Field

LIN Chen;LI Yong-bin;School of Mathematical Science,University of Electronic Science and Technology;  
Let Fqbe finite field,literature[1]has given a compositional proof:Every element of Map(Fnq,Fq)can be represented by apolynomial on Fq[x1,…,xn]with degree no more than q-1.This text will first give a simple proof about the conclusion by using Groebner bases and polynomial mapping,and get a more general property of polynomial mappings between varieties on finite field.
【CateGory Index】: O174.14
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