See monomorphism in All languages combined, or Wiktionary
Download JSON data for monomorphism meaning in English (3.6kB)
{
"forms": [
{
"form": "monomorphisms",
"tags": [
"plural"
]
}
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"args": {},
"expansion": "monomorphism (plural monomorphisms)",
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],
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"lang_code": "en",
"pos": "noun",
"related": [
{
"_dis1": "20 40 40",
"sense": "in category theory",
"word": "epimorphism"
},
{
"_dis1": "20 40 40",
"sense": "in category theory",
"word": "isomorphism"
},
{
"_dis1": "20 40 40",
"sense": "in category theory",
"word": "monic"
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{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
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"Sciences",
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"Fundamental"
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}
],
"glosses": [
"an injective homomorphism"
],
"id": "en-monomorphism-en-noun-TxF1IzjZ",
"links": [
[
"mathematics",
"mathematics"
],
[
"injective",
"injective"
],
[
"homomorphism",
"homomorphism"
]
],
"raw_glosses": [
"(mathematics) an injective homomorphism"
],
"topics": [
"mathematics",
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"translations": [
{
"_dis1": "78 5 16",
"code": "fr",
"lang": "French",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "monomorphisme"
},
{
"_dis1": "78 5 16",
"code": "de",
"lang": "German",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "Monomorphismus"
},
{
"_dis1": "78 5 16",
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: injective homomorphism",
"tags": [
"feminine"
],
"word": "einmótun"
},
{
"_dis1": "78 5 16",
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: injective homomorphism",
"tags": [
"feminine"
],
"word": "ímótun"
},
{
"_dis1": "78 5 16",
"code": "it",
"lang": "Italian",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "monomorfismo"
},
{
"_dis1": "78 5 16",
"code": "ru",
"lang": "Russian",
"roman": "monomorfizm",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "мономорфизм"
},
{
"_dis1": "78 5 16",
"code": "es",
"lang": "Spanish",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "monomorfismo"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Biology",
"orig": "en:Biology",
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"All topics",
"Fundamental"
],
"source": "w"
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{
"_dis": "11 70 19",
"kind": "other",
"name": "English entries with incorrect language header",
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"source": "w+disamb"
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],
"glosses": [
"the absence of sexual dimorphism"
],
"id": "en-monomorphism-en-noun-cIoxrU3k",
"links": [
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"biology",
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[
"absence",
"absence"
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"sexual",
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"dimorphism",
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"raw_glosses": [
"(biology) the absence of sexual dimorphism"
],
"topics": [
"biology",
"natural-sciences"
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},
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],
"source": "w"
}
],
"glosses": [
"A morphism n such that for any other morphisms f and g, if n∘f=n∘g then f = g."
],
"hyponyms": [
{
"word": "equalizer"
},
{
"word": "bimorphism"
},
{
"word": "isomorphism"
},
{
"word": "split monomorphism"
},
{
"word": "global element"
}
],
"id": "en-monomorphism-en-noun-UUMgKtNk",
"links": [
[
"category theory",
"category theory"
],
[
"morphism",
"morphism"
]
],
"raw_glosses": [
"(category theory) A morphism n such that for any other morphisms f and g, if n∘f=n∘g then f = g."
],
"topics": [
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
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"sciences"
]
}
],
"synonyms": [
{
"_dis1": "20 40 40",
"sense": "in category theory",
"word": "mono"
}
],
"wikipedia": [
"monomorphism"
],
"word": "monomorphism"
}
{
"categories": [
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"English entries with incorrect language header",
"English lemmas",
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"forms": [
{
"form": "monomorphisms",
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"pos": "noun",
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{
"sense": "in category theory",
"word": "epimorphism"
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{
"sense": "in category theory",
"word": "isomorphism"
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{
"sense": "in category theory",
"word": "monic"
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{
"categories": [
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"an injective homomorphism"
],
"links": [
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"mathematics",
"mathematics"
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"injective",
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],
[
"homomorphism",
"homomorphism"
]
],
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"(mathematics) an injective homomorphism"
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"topics": [
"mathematics",
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{
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"en:Biology"
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"biology",
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"(biology) the absence of sexual dimorphism"
],
"topics": [
"biology",
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},
{
"categories": [
"en:Category theory"
],
"glosses": [
"A morphism n such that for any other morphisms f and g, if n∘f=n∘g then f = g."
],
"hyponyms": [
{
"word": "equalizer"
},
{
"word": "bimorphism"
},
{
"word": "isomorphism"
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{
"word": "split monomorphism"
},
{
"word": "global element"
}
],
"links": [
[
"category theory",
"category theory"
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"morphism",
"morphism"
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],
"raw_glosses": [
"(category theory) A morphism n such that for any other morphisms f and g, if n∘f=n∘g then f = g."
],
"topics": [
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
}
],
"synonyms": [
{
"sense": "in category theory",
"word": "mono"
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "monomorphisme"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "Monomorphismus"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: injective homomorphism",
"tags": [
"feminine"
],
"word": "einmótun"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: injective homomorphism",
"tags": [
"feminine"
],
"word": "ímótun"
},
{
"code": "it",
"lang": "Italian",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "monomorfismo"
},
{
"code": "ru",
"lang": "Russian",
"roman": "monomorfizm",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "мономорфизм"
},
{
"code": "es",
"lang": "Spanish",
"sense": "mathematics: injective homomorphism",
"tags": [
"masculine"
],
"word": "monomorfismo"
}
],
"wikipedia": [
"monomorphism"
],
"word": "monomorphism"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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