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单词 Field of quotients
释义

Field of quotients

中文百科

分式环 Field of fractions

(重定向自Field of quotients)

在抽象代数中,分式环分式域是包含一个整环的最小域,典型的例子是有理数域之于整数环。此外分式环也可以推广到一般的交换环,此时通常称作全分式环

分式环有时也被称为商域,但此用语易与商环混淆。

英语百科

Field of fractions 分式环

(重定向自Field of quotients)

In abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded. The elements of the field of fractions of the integral domain R are equivalence classes (see the construction below) written as \frac{a}{b} with a and b in R and b\neq0. The field of fractions of R is sometimes denoted by \mathrm{Quot}(R) or \mathrm{Frac}(R).

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更新时间:2025/6/19 0:16:05