A mathematical term. K ' is said to be an extension of a field K if K ' is a field that contains field K. In this case, field K is called a subfield of field K '. For example, the field of real numbers is an extension of the field of rational numbers, and the field of rational numbers is a subfield of the field of real numbers. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
数学用語。 K' が体 K の拡大体であるとは,K' が体であって,体 K を含む場合をいう。このときの体 K を体 K' の部分体という。たとえば,実数体は有理数体の拡大体であり,有理数体は実数体の部分体である。
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