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单词 field extension
释义

field extension

A pair of fields F and K, where the base field F is a subfield of K. Importantly, K is a vector space over F, and the degree of the extension is defined as the dimension of K as such a vector space. For example, ℂ is a degree 2 extension of R as {1, i} is a basis. See simple extension, tower law.

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更新时间:2025/4/29 17:25:28