See groupoid on Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "group",
"3": "oid"
},
"expansion": "group + -oid",
"name": "suffix"
}
],
"etymology_text": "From group + -oid.",
"forms": [
{
"form": "groupoids",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "groupoid (plural groupoids)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A magma: a set with a total binary operation."
],
"id": "en-groupoid-en-noun-xpQoDb8g",
"links": [
[
"algebra",
"algebra"
],
[
"magma",
"magma"
],
[
"set",
"set"
],
[
"total",
"total"
],
[
"binary",
"binary"
],
[
"operation",
"operation"
]
],
"raw_glosses": [
"(algebra) A magma: a set with a total binary operation."
],
"topics": [
"algebra",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "85 15",
"alt": "あぐん",
"code": "ja",
"lang": "Japanese",
"roman": "agun",
"sense": "a magma",
"word": "亜群"
},
{
"_dis1": "85 15",
"code": "es",
"lang": "Spanish",
"sense": "a magma",
"tags": [
"masculine"
],
"word": "grupoide"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Category theory",
"orig": "en:Category theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "43 57",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "44 56",
"kind": "other",
"name": "English terms suffixed with -oid",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "44 56",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "44 56",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "44 56",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "43 57",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "42 58",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "44 56",
"kind": "other",
"name": "Terms with Italian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "44 56",
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "43 57",
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "43 57",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "2013, Julia Goedecke, Category Theory:",
"text": "[...] A category in which every morphism is an isomorphism is called a groupoid.\n This means that a group is a groupoid with only one object. [...]",
"type": "quote"
}
],
"glosses": [
"A set with a partial binary operation that is associative and has identities and inverses."
],
"id": "en-groupoid-en-noun-A8dTpAZg",
"links": [
[
"algebra",
"algebra"
],
[
"category theory",
"category theory"
],
[
"partial",
"partial"
],
[
"associative",
"associative"
],
[
"identities",
"identity"
],
[
"inverse",
"inverse"
]
],
"raw_glosses": [
"(algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses."
],
"topics": [
"algebra",
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
],
"translations": [
{
"_dis1": "43 57",
"code": "fr",
"lang": "French",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "groupoïde"
},
{
"_dis1": "43 57",
"code": "de",
"lang": "German",
"sense": "a set with a partial binary operation...",
"tags": [
"neuter"
],
"word": "Gruppoid"
},
{
"_dis1": "43 57",
"code": "it",
"lang": "Italian",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "gruppoide"
},
{
"_dis1": "43 57",
"code": "pt",
"lang": "Portuguese",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "grupoide"
},
{
"_dis1": "43 57",
"code": "es",
"lang": "Spanish",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "grupoide"
}
]
}
],
"word": "groupoid"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms suffixed with -oid",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with French translations",
"Terms with German translations",
"Terms with Italian translations",
"Terms with Japanese translations",
"Terms with Portuguese translations",
"Terms with Spanish translations"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "group",
"3": "oid"
},
"expansion": "group + -oid",
"name": "suffix"
}
],
"etymology_text": "From group + -oid.",
"forms": [
{
"form": "groupoids",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "groupoid (plural groupoids)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Algebra"
],
"glosses": [
"A magma: a set with a total binary operation."
],
"links": [
[
"algebra",
"algebra"
],
[
"magma",
"magma"
],
[
"set",
"set"
],
[
"total",
"total"
],
[
"binary",
"binary"
],
[
"operation",
"operation"
]
],
"raw_glosses": [
"(algebra) A magma: a set with a total binary operation."
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Algebra",
"en:Category theory"
],
"examples": [
{
"ref": "2013, Julia Goedecke, Category Theory:",
"text": "[...] A category in which every morphism is an isomorphism is called a groupoid.\n This means that a group is a groupoid with only one object. [...]",
"type": "quote"
}
],
"glosses": [
"A set with a partial binary operation that is associative and has identities and inverses."
],
"links": [
[
"algebra",
"algebra"
],
[
"category theory",
"category theory"
],
[
"partial",
"partial"
],
[
"associative",
"associative"
],
[
"identities",
"identity"
],
[
"inverse",
"inverse"
]
],
"raw_glosses": [
"(algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses."
],
"topics": [
"algebra",
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
}
],
"translations": [
{
"alt": "あぐん",
"code": "ja",
"lang": "Japanese",
"roman": "agun",
"sense": "a magma",
"word": "亜群"
},
{
"code": "es",
"lang": "Spanish",
"sense": "a magma",
"tags": [
"masculine"
],
"word": "grupoide"
},
{
"code": "fr",
"lang": "French",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "groupoïde"
},
{
"code": "de",
"lang": "German",
"sense": "a set with a partial binary operation...",
"tags": [
"neuter"
],
"word": "Gruppoid"
},
{
"code": "it",
"lang": "Italian",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "gruppoide"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "grupoide"
},
{
"code": "es",
"lang": "Spanish",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "grupoide"
}
],
"word": "groupoid"
}
Download raw JSONL data for groupoid meaning in All languages combined (2.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.