: Mathematics: field extension

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field extension

In mathematics, particularly in algebra, a field extension is a pair of fields ${\\displaystyle K\\subseteq L,}$ such that the operations of K are those of L restricted to K. In this case, L is an extension field of K and K is a subfield of L. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Field_extension)

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