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・ Pseudo-cold front
・ Pseudo-Crato
・ Pseudo-Cushing's syndrome
・ Pseudo-deltoidal icositetrahedron
・ Pseudo-Democritus
・ Pseudo-Demosthenes
・ Pseudo-determinant
・ Pseudo-differential operator
・ Pseudo-Dionysius the Areopagite
・ Pseudo-documentary
・ Pseudo-Dorotheos of Monemvasia
・ Pseudo-Dorotheus
・ Pseudo-Epiphanios
・ Pseudo-Euclidean space
・ Pseudo-Ezekiel
Pseudo-finite field
・ Pseudo-Geber
・ Pseudo-Gregory
・ Pseudo-Hadamard transform
・ Pseudo-Hegesippus
・ Pseudo-Hurler polydystrophy
・ Pseudo-Ingulf
・ Pseudo-intersection
・ Pseudo-Isidorian Decretals
・ Pseudo-Jerome
・ Pseudo-John
・ Pseudo-Kufic
・ Pseudo-Linus
・ Pseudo-LRU
・ Pseudo-Marcellus


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Pseudo-finite field : ウィキペディア英語版
Pseudo-finite field

In mathematics, a pseudo-finite field ''F'' is an infinite model of the first-order theory of finite fields. This is equivalent to the condition that ''F'' is quasi-finite (perfect with a unique extension of every positive degree) and pseudo algebraically closed (every absolutely irreducible variety over ''F'' has a point defined over ''F''). Every hyperfinite field is pseudo-finite and every pseudo-finite field is quasifinite. Every non-principal ultraproduct of finite fields is pseudo-finite.
Pseudo-finite fields were introduced by .
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Pseudo-finite field」の詳細全文を読む



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