×

Variations on the theme of Hilbert’s theorem 90. (English) Zbl 1112.11308

Summary: Given a number field \(K\), we find two simple separate necessary and sufficient conditions on a given algebraic number for it to be expressible as a quotient (respectively as a difference) of two algebraic numbers conjugate over \(K\).

MSC:

11R04 Algebraic numbers; rings of algebraic integers
11R32 Galois theory
PDF BibTeX XML Cite
Full Text: DOI