See groupoid in All languages combined, or Wiktionary
Download JSON data for groupoid meaning in English (3.5kB)
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "group",
"3": "oid"
},
"expansion": "group + -oid",
"name": "suffix"
}
],
"etymology_text": "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": [
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],
"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",
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"parents": [
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"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
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"name": "Category theory",
"orig": "en:Category theory",
"parents": [
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"Formal sciences",
"Sciences",
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"Fundamental"
],
"source": "w"
},
{
"_dis": "43 57",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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"Entry maintenance"
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"source": "w+disamb"
},
{
"_dis": "42 58",
"kind": "other",
"name": "English terms suffixed with -oid",
"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.\nThis means that a group is a groupoid with only one object. [...]",
"type": "quotation"
}
],
"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": "41 59",
"code": "fr",
"lang": "French",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "groupoïde"
},
{
"_dis1": "41 59",
"code": "de",
"lang": "German",
"sense": "a set with a partial binary operation...",
"tags": [
"neuter"
],
"word": "Gruppoid"
},
{
"_dis1": "41 59",
"code": "it",
"lang": "Italian",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "gruppoide"
},
{
"_dis1": "41 59",
"code": "pt",
"lang": "Portuguese",
"sense": "a set with a partial binary operation...",
"tags": [
"masculine"
],
"word": "grupoide"
},
{
"_dis1": "41 59",
"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"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "group",
"3": "oid"
},
"expansion": "group + -oid",
"name": "suffix"
}
],
"etymology_text": "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.\nThis means that a group is a groupoid with only one object. [...]",
"type": "quotation"
}
],
"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"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-18 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.
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