Math 2.0

Field theory and polynomials Concept

Field generated by adjoining elements

Summary

For a field extension L/KL/K and a subset SS of LL, the field K(S)K(S) is the smallest subfield of LL that contains KK and SS. The definition of K(S)K(S) states it.

Further reading

  1. Web https://en.wikipedia.org/wiki/Field_extension, Extension field
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Tag05NAS7AGMZ
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Aliasesfield-adjunction
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