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Prime Subfield


The prime subfield of a field F is the subfield of F generated by the multiplicative identity 1_F of F. It is isomorphic to either Q (if the field characteristic is 0), or the finite field F_p=Z/pZ (if the field characteristic is p).


See also

Subfield

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References

Dummit, D. S. and Foote, R. M. Abstract Algebra, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, p. 423, 1998.

Referenced on Wolfram|Alpha

Prime Subfield

Cite this as:

Weisstein, Eric W. "Prime Subfield." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeSubfield.html

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