Real Embedding

A real embedding of a number field K is a field embedding sigma:K->C whose image is contained in R. Equivalently, sigma(alpha) is real for every alpha in K. The number of real embeddings of K is the first component of the number field signature.

See also

Complex Number, Field Embedding, Imaginary Embedding, Number Field Signature, Real Number, Totally Imaginary Field

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Cite this as:

Weisstein, Eric W. "Real Embedding." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RealEmbedding.html

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