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What does FIELD EXTENSION mean?
- Field extension
- In mathematics, particularly in algebra, a field extension is a pair of fields K ⊆ L , {\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. Field extensions are fundamental in algebraic number theory, and in the study of polynomial roots through Galois theory, and are widely used in algebraic geometry.
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"FIELD EXTENSION." Abbreviations.com. STANDS4 LLC, 2024. Web. 25 Sep. 2024. <https://www.abbreviations.com/FIELD%20EXTENSION>.
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