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Integral basis of the field \(\mathbb Q(\root n\of a)\)

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Publication:585280
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DOI10.3792/PJAA.58.219zbMath0524.12002OpenAlexW2092048358MaRDI QIDQ585280

Kōsaku Okutsu

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.219


zbMATH Keywords

integral basisNewton diagram of polynomialradical extension


Mathematics Subject Classification ID

Other number fields (11R21) Polynomials over commutative rings (13B25) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)


Related Items (5)

Continuous automorphisms of transcendental closed subfields of \(\mathbb {C}_p\) ⋮ Explicit construction of integral bases of radical function fields ⋮ On p-adic analytic continuation with applications to generating elements ⋮ ON SATURATED DISTINGUISHED CHAINS OVER A LOCAL FIELD III: The Case of p-Extensions with Two Proper Higher Ramification Groups ⋮ On saturated distinguished chains over a local field. II




Cites Work

  • Unnamed Item
  • Construction of integral basis. IV




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