Terminology question

JOSEPH SHIPMAN joeshipman at aol.com
Mon Dec 13 14:57:05 EST 2021


Let x be an algebraic number of degree n(x) over Q, and let m(x) be the degree of the field generated by x and its conjugates over Q.

Clearly n <= m <= n!.

Is there a term which means any of the following?
 “An algebraic number satisfying m(x)=n(x)”
“An algebraic number satisfying m(x)=n(x)!”
“An algebraic number with n(x)<m(x)<n(x)!”

— JS

Sent from my iPhone


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