Construction of integral basis. I
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Publication:1055824
DOI10.3792/pjaa.58.47zbMath0522.13004OpenAlexW4239519337MaRDI QIDQ1055824
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.58.47
Algebraic field extensions (12F05) Integral representations (11S23) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Principal ideal rings (13F10) Polynomials over commutative rings (13B25) Valuation rings (13F30)
Related Items (15)
Computation of integral bases ⋮ Continuous automorphisms of transcendental closed subfields of \(\mathbb {C}_p\) ⋮ Existenz von Ganzheitsbasen bei Kummererweiterungen und Komposita. (Existence of integral bases for Kummer extensions and composites) ⋮ Construction of integral basis. II ⋮ A new computational approach to ideal theory in number fields ⋮ Triangular bases of integral closures ⋮ Single-factor lifting and factorization of polynomials over local fields ⋮ On the equivalence of types ⋮ On p-adic analytic continuation with applications to generating elements ⋮ Computation of residual polynomial operators of inductive valuations ⋮ ON SATURATED DISTINGUISHED CHAINS OVER A LOCAL FIELD III: The Case of p-Extensions with Two Proper Higher Ramification Groups ⋮ Discriminants, \(\mathbb Z\)-integral bases and relative integral bases in case of multiquadratic number fields ⋮ On saturated distinguished chains over a local field. II ⋮ Defectless polynomials over Henselian fields and inductive valuations ⋮ On power integral bases of unramified cyclic extensions of prime degree
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