See compositum on Wiktionary
Download JSON data for compositum meaning in All languages combined (5.4kB)
{
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{
"args": {
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"2": "la",
"3": "compositum"
},
"expansion": "Latin compositum",
"name": "der"
}
],
"etymology_text": "From Latin compositum.",
"forms": [
{
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"tags": [
"plural"
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"pos": "noun",
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{
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{
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"name": "Algebra",
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{
"text": "1998, Iain T. Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98,\nOf particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime."
},
{
"ref": "2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81",
"text": "For #x5C;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).",
"type": "quotation"
},
{
"ref": "2005, T. Y. Lam, Introduction to Quadratic Forms over Fields, American Mathematical Society, page 333",
"text": "This is then just the field compositum of all the quadratic extensions F(#x5C;sqrt#x7B;a#x5F;i#x7D;) in the algebraic closure of F.",
"type": "quotation"
}
],
"glosses": [
"Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
],
"id": "en-compositum-en-noun-9Anj7Jc~",
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[
"algebra",
"algebra"
],
[
"field extension",
"field extension"
],
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"subextension",
"subextension"
]
],
"qualifier": "field theory",
"raw_glosses": [
"(algebra, field theory) Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
],
"synonyms": [
{
"sense": "smallest subextension of a given field extension that contains two given subextensions",
"word": "field compositum"
}
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"word": "compositum"
}
{
"etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.",
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"lang": "Latin",
"lang_code": "la",
"pos": "adj",
"senses": [
{
"categories": [
{
"_dis": "49 22 7 23",
"kind": "other",
"name": "Latin neuter nouns in the second declension",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"inflection of compositus:",
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],
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[
"compositus",
"compositus#Latin"
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},
{
"glosses": [
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],
"id": "en-compositum-la-adj-YFeg~lCn",
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[
"compositus",
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]
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}
],
"word": "compositum"
}
{
"etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.",
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"tags": [
"genitive"
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{
"form": "no-table-tags",
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{
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},
{
"form": "compositī",
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},
{
"form": "compositōrum",
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},
{
"form": "compositō",
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"singular"
]
},
{
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{
"form": "compositum",
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{
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},
{
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{
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"senses": [
{
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"that which is agreed; an agreement, compact, etc."
],
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],
[
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],
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{
"word": "condiciō"
},
{
"word": "stipulātiō"
},
{
"word": "pactum"
}
],
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{
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}
],
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"compound word, compound"
],
"id": "en-compositum-la-noun-UFsufTwU",
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[
"compound word",
"compound word"
],
[
"compound",
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{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "la",
"3": "compositum"
},
"expansion": "Latin compositum",
"name": "der"
}
],
"etymology_text": "From Latin compositum.",
"forms": [
{
"form": "compositums",
"tags": [
"plural"
]
}
],
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{
"args": {},
"expansion": "compositum (plural compositums)",
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"pos": "noun",
"senses": [
{
"categories": [
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"English entries with incorrect language header",
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],
"examples": [
{
"text": "1998, Iain T. Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98,\nOf particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime."
},
{
"ref": "2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81",
"text": "For #x5C;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).",
"type": "quotation"
},
{
"ref": "2005, T. Y. Lam, Introduction to Quadratic Forms over Fields, American Mathematical Society, page 333",
"text": "This is then just the field compositum of all the quadratic extensions F(#x5C;sqrt#x7B;a#x5F;i#x7D;) in the algebraic closure of F.",
"type": "quotation"
}
],
"glosses": [
"Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
],
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[
"algebra",
"algebra"
],
[
"field extension",
"field extension"
],
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"subextension",
"subextension"
]
],
"qualifier": "field theory",
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"(algebra, field theory) Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"sense": "smallest subextension of a given field extension that contains two given subextensions",
"word": "field compositum"
}
],
"word": "compositum"
}
{
"categories": [
"Latin adjective forms",
"Latin entries with incorrect language header",
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"Latin neuter nouns",
"Latin neuter nouns in the second declension",
"Latin non-lemma forms",
"Latin nouns",
"Latin second declension nouns"
],
"etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.",
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"expansion": "compositum",
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"pos": "adj",
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{
"glosses": [
"inflection of compositus:",
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],
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{
"categories": [
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"Latin neuter nouns",
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"Latin nouns",
"Latin second declension nouns"
],
"etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.",
"forms": [
{
"form": "compositī",
"tags": [
"genitive"
]
},
{
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{
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{
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},
{
"form": "compositī",
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"tags": [
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]
},
{
"form": "compositōrum",
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"plural"
]
},
{
"form": "compositō",
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"tags": [
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]
},
{
"form": "compositīs",
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},
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"form": "compositum",
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"senses": [
{
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"that which is agreed; an agreement, compact, etc."
],
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{
"word": "stipulātiō"
},
{
"word": "pactum"
}
],
"tags": [
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]
},
{
"glosses": [
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],
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],
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"compound",
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],
"tags": [
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]
}
],
"word": "compositum"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.