See injective in All languages combined, or Wiktionary
Download JSON data for injective meaning in English (8.2kB)
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"Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic"
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{
"_dis1": "68 9 18 5",
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"sense": "inverse-deterministic",
"word": "內射的"
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{
"_dis1": "68 9 18 5",
"code": "cmn",
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"roman": "nèishède",
"sense": "inverse-deterministic",
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"sense": "inverse-deterministic",
"word": "injectif"
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{
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"sense": "inverse-deterministic",
"word": "injektiv"
},
{
"_dis1": "68 9 18 5",
"code": "el",
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"roman": "amfimonótimi",
"sense": "inverse-deterministic",
"word": "αμφιμονότιμη"
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"sense": "inverse-deterministic",
"word": "injetivo"
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{
"_dis1": "68 9 18 5",
"code": "ro",
"lang": "Romanian",
"sense": "inverse-deterministic",
"word": "injectiv"
},
{
"_dis1": "68 9 18 5",
"code": "ru",
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"roman": "inʺjektívnyj",
"sense": "inverse-deterministic",
"word": "инъекти́вный"
},
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"_dis1": "68 9 18 5",
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"word": "inyectivo"
},
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"(algebra, module theory, of a (left) module M over a ring R) Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module.",
"Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module."
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"Loosely, having a property analogous to that which characterizes projective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object."
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{
"code": "ca",
"lang": "Catalan",
"sense": "inverse-deterministic",
"word": "injectiu"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "inverse-deterministic",
"word": "內射的"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "nèishède",
"sense": "inverse-deterministic",
"word": "内射的"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "dānshède",
"sense": "inverse-deterministic",
"word": "单射的"
},
{
"code": "cs",
"lang": "Czech",
"sense": "inverse-deterministic",
"word": "prostý"
},
{
"code": "cs",
"lang": "Czech",
"sense": "inverse-deterministic",
"word": "injektivní"
},
{
"code": "da",
"lang": "Danish",
"sense": "inverse-deterministic",
"word": "injektiv"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "inverse-deterministic",
"word": "injektiivinen"
},
{
"code": "fr",
"lang": "French",
"sense": "inverse-deterministic",
"word": "injectif"
},
{
"code": "de",
"lang": "German",
"sense": "inverse-deterministic",
"word": "injektiv"
},
{
"code": "el",
"lang": "Greek",
"roman": "amfimonótimi",
"sense": "inverse-deterministic",
"word": "αμφιμονότιμη"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "inverse-deterministic",
"tags": [
"masculine"
],
"word": "eintækur"
},
{
"code": "ga",
"lang": "Irish",
"sense": "inverse-deterministic",
"word": "inteilgeach"
},
{
"alt": "にゅうしゃの",
"code": "ja",
"lang": "Japanese",
"roman": "nyuushyano",
"sense": "inverse-deterministic",
"word": "入射の"
},
{
"alt": "たんしゃの",
"code": "ja",
"lang": "Japanese",
"roman": "tannshano",
"sense": "inverse-deterministic",
"word": "単射の"
},
{
"code": "pl",
"lang": "Polish",
"sense": "inverse-deterministic",
"tags": [
"feminine"
],
"word": "różnowartościowa"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "inverse-deterministic",
"word": "injetivo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "inverse-deterministic",
"word": "injectiv"
},
{
"code": "ru",
"lang": "Russian",
"roman": "inʺjektívnyj",
"sense": "inverse-deterministic",
"word": "инъекти́вный"
},
{
"code": "es",
"lang": "Spanish",
"sense": "inverse-deterministic",
"word": "inyectivo"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "inverse-deterministic",
"word": "injektiv"
}
],
"wikipedia": [
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"word": "injective"
}
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