Galois extension

名词 n.
中文释义

英文释义

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

词形变化

Galois extensions plural

词源

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