On nonmonogenic algebraic number fields

DOI10.1216/rmj.2023.53.103OpenAlexW4376056398MaRDI QIDQ6158192

Anuj Jakhar

Publication date: 31 May 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-1/ON-NONMONOGENIC-ALGEBRAIC-NUMBER-FIELDS/10.1216/rmj.2023.53.103.full

zbMATH Keywords

Newton polygonpower basismonogenitynonmonogenity

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Unnamed Item
• Integral bases and monogenity of pure fields
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• On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients
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• On certain pure sextic fields related to a problem of Hasse
• On the indices of multiquadratic number fields
• Characterization of primes dividing the index of a trinomial
• Power Integral Bases in Orders of Composite Fields
• Index form equations in sextic fields: a hard computation
• On nonmonogenic number fields defined by
• On monogenity of certain pure number fields defined by xpr − m
• Diophantine Equations and Power Integral Bases

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