See Kummer ring on Wiktionary
{
"etymology_text": "Named after Ernst Kummer (1810–1893), a German mathematician.",
"forms": [
{
"form": "Kummer rings",
"tags": [
"plural"
]
}
],
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"expansion": "Kummer ring (plural Kummer rings)",
"name": "en-noun"
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],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
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{
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{
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"name": "Algebra",
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],
"glosses": [
"A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
],
"holonyms": [
{
"word": "cyclotomic field"
}
],
"id": "en-Kummer_ring-en-noun-r9Wf1sax",
"links": [
[
"algebra",
"algebra"
],
[
"ring",
"ring#English"
],
[
"adjoining",
"adjoin#English"
],
[
"complex",
"complex#English"
],
[
"root of unity",
"root of unity"
],
[
"prime number",
"prime number#English"
],
[
"integers",
"integer#English"
]
],
"meronyms": [
{
"word": "cyclotomic integer"
}
],
"raw_glosses": [
"(algebra) A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
],
"topics": [
"algebra",
"mathematics",
"sciences"
],
"wikipedia": [
"Ernst Kummer"
]
}
],
"word": "Kummer ring"
}
{
"etymology_text": "Named after Ernst Kummer (1810–1893), a German mathematician.",
"forms": [
{
"form": "Kummer rings",
"tags": [
"plural"
]
}
],
"head_templates": [
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"expansion": "Kummer ring (plural Kummer rings)",
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],
"lang": "English",
"lang_code": "en",
"meronyms": [
{
"word": "cyclotomic integer"
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],
"pos": "noun",
"senses": [
{
"categories": [
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"en:Algebra"
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"glosses": [
"A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
],
"links": [
[
"algebra",
"algebra"
],
[
"ring",
"ring#English"
],
[
"adjoining",
"adjoin#English"
],
[
"complex",
"complex#English"
],
[
"root of unity",
"root of unity"
],
[
"prime number",
"prime number#English"
],
[
"integers",
"integer#English"
]
],
"raw_glosses": [
"(algebra) A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
],
"topics": [
"algebra",
"mathematics",
"sciences"
],
"wikipedia": [
"Ernst Kummer"
]
}
],
"word": "Kummer ring"
}
Download raw JSONL data for Kummer ring meaning in All languages combined (1.2kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.