Eisenstein's criterion: Difference between revisions

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Latest revision as of 16:19, 12 May 2008

Statement

Let R be an integral domain and P a prime ideal in R. Consider a primitive polynomial:

f(x)=r0xn+r1xn1++rn1x+rn

where r0P, r1,r2,,rnP and rnP2, then f is an irreducible polynomial.