field extension

短语

词形变化

field extensions 复数 field extensions

释义与例句

n.
  1. 1.

    Any pair of fields, denoted L/K, such that K is a subfield of L.

    数学

    1998, David Goss, Basic Structures of Function Field Arithmetic, Springer, Corrected 2nd Printing, page 283, Note that the extension of L obtained by adjoining all division points of ψ includes at most a finite constant field extension.

    2007, Pierre Antoine Grillet, Abstract Algebra, Springer, 2bd Edition, page 530, A field extension of a field K is, in particular, a K-algebra. Hence any two field extensions of K have a tensor product that is a K-algebra.