Additive Hilbert's theorem 90 in the ring of algebraic integers

DOI10.1016/S0019-3577(06)80004-2zbMath1112.11050MaRDI QIDQ2500583

Arturas Dubickas

Publication date: 17 August 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Hilbert's Theorem 90conjugate algebraic integers

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (4)

On the integer form of the additive Hilbert's theorem 90 ⋮ Linear relations among Galois conjugates over \(\mathbb{F}_q(t)\) ⋮ Rational quotients of two linear forms in roots of a polynomial ⋮ Mahler measure of a difference of two conjugates

Cites Work

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• The cubics which are differences of two conjugates of an algebraic integer
• Additive and multiplicative relations connecting conjugate algebraic numbers
• Noncommutative descent and non-abelian cohomology
• On a special case of Hilbert's irreducibility theorem
• On the degree of a linear form in conjugates of an algebraic number
• On the integer form of the additive Hilbert's theorem 90
• On numbers which are differences of two conjugates of an algebraic integer
• Conjugate algebraic numbers on conics
• A Linear Algebra Approach to Cyclic Extensions in Galois Theory
• Hilbert 90 Theorems Over Divison Rings
• On numbers which are differences of two conjugates over Q of an algebraic integer
• Additive relations with conjugate algebraic numbers

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