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A Generalization of Eisenstein-Schönemann’s Irreducibility Criterion


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The Eisenstein criterion is a particular case of the Schönemann’s irreducibility criterion stated in 1846. In 1906, based on Newton polygon techniques, Dumas gave a generalization of the Eisenstein criterion. In this paper, we extend this last generalization. Some applications on factorization of polynomials, and prime ideal factorization will be given, too.

eISSN:
1338-9750
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics