On the degree of extensions generated by finitely many algebraic numbers

DOI10.1016/0022-314X(90)90144-GzbMath0719.11080MaRDI QIDQ2639909

Jian-Ping Zhou

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Kummer extensionEisenstein criterion

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Algebraic number theory: global fields (11R99) Other abelian and metabelian extensions (11R20)

Related Items (4)

From Field Theoretic to Abstract Co-Galois Theory ⋮ Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision ⋮ Fields of algebraic numbers computable in polynomial time. I ⋮ On the degree of repeated radical extensions

Cites Work

• An application of Galois theory to elementary arithmetic
• On the linear independence of algebraic numbers
• On Extensions of Q by Square Roots
• On the Linear Independence of Fractional Powers of Integers
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