Galois extension

短语

词形变化

Galois extensions 复数 Galois extensions

释义与例句

n.
  1. 1.

    An algebraic extension that is both a normal and a separable extension; equivalently, an algebraic extension E/F such that the fixed field of its automorphism group (Galois group) Aut(E/F) is the base field F.

    数学

    The significance of a Galois extension is that it has a Galois group and obeys the fundamental theorem of Galois theory.

    The fundamental theorem of Galois theory states that there is a one-to-one correspondence between the subfields of a Galois extension and the subgroups of its Galois group.

词源

Named for its connection with Galois theory and after French mathematician Évariste Galois.

来源：wiktionary