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hyperfinite field
In mathematics, a hyper-finite field is an uncountable field similar in many ways to finite fields. More precisely a field ''F'' is called hyper-finite if it is uncountable and quasi-finite, and for every subfield ''E'', every absolutely entire ''E''-algebra (regular field extension of ''E'') of smaller cardinality than ''F'' can be embedded in ''F''. They were introduced by . Every hyper-finite field is a pseudo-finite field, and is in particular a model for the first-order theory of finite fields.
==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）』
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