On power basis of a class of number fields

DOI10.1007/S00009-023-02522-YarXiv2303.03138OpenAlexW4387617500MaRDI QIDQ6141224

Sumandeep Kaur, Anuj Jakhar, Surender Kumar

Publication date: 22 January 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.03138

zbMATH Keywords

integral basis and discriminantring of algebraic integersmonogenic number fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• On prime divisors of the index of an algebraic integer
• On necessary and sufficient conditions for the monogeneity of a certain class of polynomials
• When is R[θ integrally closed?]
• Characterization of primes dividing the index of a trinomial
• Infinite families of monogenic quadrinomials, quintinomials and sextinomials
• On the factors of a polynomial
• Diophantine Equations and Power Integral Bases

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