compositum
compositum noun: given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B.
Noun
compositum (plural compositums)
- Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B.
- Of particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime.1998, Iain T. Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98
- For #92;Q, we get the maximal abelian extension by adjoining all roots of unity, i.e., taking compositum of all m-th cyclotomic fields (this is the famous Kronecker-Weber theorem).2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81
- Synonyms:
- field compositum
Synonyms of compositum
- field compositum
Forms of compositum
| plural | compositums |
|---|
Origin of compositum
From Latin compositum.
Questions about compositum
- What does compositum mean?
- Compositum means given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B.
- What part of speech is compositum?
- Compositum is a noun.
- What is the plural of compositum?
- The plural of compositum is compositums.
Words near compositum in the dictionary
Source and license
Adapted from Wiktionary: compositum (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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