splitting field

(redirected from Galois closure)

splitting field

[′splid·iŋ ‚fēld]
(mathematics)
References in periodicals archive ?
3 Galois closure operators are defined as the operators h = [omega] [omicron] [phi] in P(A) and h = [phi] [omicron] [omega] in P(U), where they are also expressed as the following notation: h(I) = [omega] [omicron] [phi](I) = [omega]([phi](I)), h(O) = [phi] [omicron] [omega](O) = [phi]([omega](O)).