A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion
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Publication:4588353
DOI10.1017/S0013091516000638zbMath1398.12007MaRDI QIDQ4588353
Bablesh Jhorar, Sudesh Kaur Khanduja
Publication date: 26 October 2017
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) Valued fields (12J10)
Related Items (4)
On factorization of polynomials in henselian valued fields ⋮ On a factorization result of Ştefănescu ⋮ Irreducibility of the zero polynomials of Eisenstein series ⋮ On the irreducible factors of a polynomial
Cites Work
- A theorem of characterization of residual transcendental extensions of a valuation
- A generalization of Eisenstein-Schönemann irreducibility criterion
- Roots of generalized Schönemann polynomials in Henselian extension fields
- Prolongations of valuations to finite extensions
- On Eisenstein–Dumas and Generalized Schönemann Polynomials
- Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First
- On a generalization of Eisenstein's irreducibility criterion
- Difference polynomials and their generalizations
- A mild generalization of Eisenstein’s criterion
- Valued Fields
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