EISENSTEIN-DUMAS CRITERION FOR IRREDUCIBILITY OF POLYNOMIALS AND PROJECTIVE TRANSFORMATIONS OF THE INDEPENDENT VARIABLE
Eisenstein-Dumas criterion is a generalization of Eisenstein?s criterion for irreducibility. We study the following problem: Let be a quotient field of a UFD Given a polynomial is there a projective transformation such that satisfies Eisenstein-Dumas criterion for irreducibility with some prime We also give an example of an irreducible polynomial of 4th degree with integer coefficients such that for no rational numbers a, b, c and d, the polynomial satisfies Eisenstein-Dumas criterion.
irreducibility test for polynomials, Eisenstein?s criterion, Eisenstein-Dumas criterion, linear transformations.