See unique factorization domain on Wiktionary
{
"forms": [
{
"form": "unique factorization domains",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "unique factorization domain (plural unique factorization domains)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [],
"source": "w"
}
],
"glosses": [
"A unique factorization ring which is also an integral domain."
],
"hypernyms": [
{
"word": "GCD domain"
},
{
"word": "integral domain"
},
{
"word": "unique factorization ring"
}
],
"id": "en-unique_factorization_domain-en-noun-bc7fox5t",
"links": [
[
"algebra",
"algebra"
],
[
"ring theory",
"ring theory"
],
[
"unique factorization ring",
"unique factorization ring"
],
[
"integral domain",
"integral domain"
]
],
"qualifier": "ring theory",
"raw_glosses": [
"(algebra, ring theory) A unique factorization ring which is also an integral domain."
],
"synonyms": [
{
"word": "UFD"
}
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"word": "unique factorization domain"
}
{
"forms": [
{
"form": "unique factorization domains",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "unique factorization domain (plural unique factorization domains)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Algebra"
],
"glosses": [
"A unique factorization ring which is also an integral domain."
],
"hypernyms": [
{
"word": "GCD domain"
},
{
"word": "integral domain"
},
{
"word": "unique factorization ring"
}
],
"links": [
[
"algebra",
"algebra"
],
[
"ring theory",
"ring theory"
],
[
"unique factorization ring",
"unique factorization ring"
],
[
"integral domain",
"integral domain"
]
],
"qualifier": "ring theory",
"raw_glosses": [
"(algebra, ring theory) A unique factorization ring which is also an integral domain."
],
"synonyms": [
{
"word": "UFD"
}
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"word": "unique factorization domain"
}
Download raw JSONL data for unique factorization domain meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-08-28 from the enwiktionary dump dated 2026-08-05 using wiktextract (872fc7b and 4deed51). 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.