bn:00296348n
Noun Concept
Categories: Field extensions
EN
field extension  subextension  Cubic extension  Cubic field extension  degree
EN
In mathematics, particularly in algebra, a field extension is a pair of fields E ⊆ F, {\displaystyle E\subseteq F,} such that the operations of E are those of F restricted to E. In this case, F is an extension field of E and E is a subfield of F. 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
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EN
In mathematics, particularly in algebra, a field extension is a pair of fields E ⊆ F, {\displaystyle E\subseteq F,} such that the operations of E are those of F restricted to E. In this case, F is an extension field of E and E is a subfield of F. 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
Any pair of fields, denoted L/K, such that K is a subfield of L. Wiktionary
Pair of fields such that one is a subfield of the other. Wiktionary (translation)
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