SOME EXAMPLES IN COGALOIS THEORY WITH APPLICATIONS TO ELEMENTARY FIELD ARITHMETIC

DOI10.1142/S0219498802000021zbMath1044.12002OpenAlexW2008114823MaRDI QIDQ4416639

Toma L.Albu

Publication date: 6 August 2003

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498802000021

zbMATH Keywords

radical extensionsKneser extensionscogalois extensionsquartic extensions of the field of rational numbers

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Special polynomials in general fields (12E10) Field arithmetic (12E30)

Related Items (5)

INFINITE FIELD EXTENSIONS WITH COGALOIS CORRESPONDENCE ⋮ Laplacian dynamics with synthesis and degradation ⋮ Unnamed Item ⋮ From Field Theoretic to Abstract Co-Galois Theory ⋮ ON RADICAL FIELD EXTENSIONS OF PRIME EXPONENT

Cites Work

• A Galois correspondence for radical extensions of fields
• On cogalois extensions
• Kummer extensions with few roots of unity
• Kneser field extensions with cogalois correspondence
• An Elementary Test for the Galois Group of a Quartic Polynomial

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