journal6 ›› 2008, Vol. 29 ›› Issue (2): 14-17.

• Mathematics • Previous Articles     Next Articles

Constructing Some Irreducible Polynomails in Integral Ring


  1. (College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China)
  • Online:2008-03-25 Published:2012-05-25

Abstract: This paper introduces some basic properties on epimorphic polynomial.And it is concluded that if n≥5 then for any  S0Zwith |S0|=n,E(S0,T0)=.Furthermore,a method of  constructing some irreducible polynomials in Z[x] is obtained:suppose φ(x)∈Z[x] with degree≥5 and all its roots are different integral from each other,f(φ(x))  is irreducible on Q when f(x)∈Z[x] is irreducible on Q with degree equals 2.

Key words: epimorphic polynomial, irreducible, integral ring

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