We've got 0 definitions for FIELD EXTENSION »
What does FIELD EXTENSION stand for?
What does FIELD EXTENSION mean? This page is about the various possible meanings of the acronym, abbreviation, shorthand or slang term: FIELD EXTENSION.
We couldn't find any results for your search.
Couldn't find the right meaning of FIELD EXTENSION?
Maybe you were looking for one of these abbreviations:
FIEDIN, FIEE, FIEEE, FIEI, FIELD, FIEM, FIEN, FIEO, FIEP, FIER
... or use our Power Search technology to look
for more unique definitions from across the web!
Search the web
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.
Know the definition for FIELD EXTENSION? Know the meaning of FIELD EXTENSION? Don't keep it to yourself!
Citation
Use the citation options below to add these abbreviations to your bibliography.
Style:MLAChicagoAPA
"FIELD EXTENSION." Abbreviations.com. STANDS4 LLC, 2024. Web. 25 Sep. 2024. <https://www.abbreviations.com/FIELD%20EXTENSION>.
Discuss these FIELD EXTENSION abbreviations with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In