The Spectrum of a Rational Function  

作　　者：Salah Najib 

机构地区：[1]Laboratoire ATRES,Faculte Polydisciplinaire de Khouribga Universite Sultan Moulay Slimane BP.145,Hay Ezzaytoune,Khouribga,Morocco

出　　处：《Algebra Colloquium》2020年第3期477-482,共6页代数集刊（英文版）

摘　　要：Let k be an infinite field,A be a finite set of k,and Q∈k[x](with x=(x_(1),...,X_(n))and n≥2)be a noncons taut polynomial.The main goal of this paper is to construct a polynomial P(x)∈k[x]with suitably large partial degrees in x_(1),...,x_(n-1)such that P and Q axe coprime,and P-aQ is reducible for all a in A.

关 键 词：irreducible and indecomposable polynomial spectrum of rational function field with product formula Hilbert subset 

分 类 号：O17[理学—数学]