Power integral bases for Selmer-like number fields

DOI10.1016/j.jnt.2006.01.012zbMath1171.12002OpenAlexW2000673441MaRDI QIDQ863333

Kishor Shah, David E. Rush, Louis J. jun. Ratliff

Publication date: 26 January 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.01.012

zbMATH Keywords

ramifyregular ringpolynomialpower integral basisprime idealdiscriminantDedekind domainresultantradical idealNoetherian ringMathematica programSelmer trinomial

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Special polynomials in general fields (12E10)

Related Items (3)

On necessary and sufficient conditions for the monogeneity of a certain class of polynomials ⋮ Infinite families of non-monogenic trinomials ⋮ Monogenic polynomials with non-squarefree discriminant

Uses Software

• Mathematica

Cites Work

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• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
• On a paper of Uchida concerning simple finite extensions of Dedekind domains
• Anneaux locaux henséliens
• A Note on Perrin Pseudoprimes
• On the irreducibility of certain trinomials
• Strong Primality Tests that are Not Sufficient
• On a theorem of Jordan

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