See additive group on Wiktionary
Download JSON data for additive group meaning in All languages combined (5.2kB)
{
"forms": [
{
"form": "additive groups",
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"Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"Any (often, but not necessarily, abelian) group whose binary operation is called addition."
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"(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition."
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"Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition."
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"(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"(algebra) Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition."
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{
"_dis": "23 34 43",
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"Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition."
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"(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"(category theory) Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition."
],
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"translations": [
{
"_dis1": "33 33 34",
"code": "fi",
"lang": "Finnish",
"sense": "group or algebraic object regarded as a group with operation called addition",
"word": "additiivinen ryhmä"
},
{
"_dis1": "33 33 34",
"code": "fi",
"lang": "Finnish",
"sense": "group or algebraic object regarded as a group with operation called addition",
"word": "yhteenlaskuryhmä"
},
{
"_dis1": "33 33 34",
"code": "de",
"lang": "German",
"sense": "group or algebraic object regarded as a group with operation called addition",
"tags": [
"feminine"
],
"word": "additive Gruppe"
},
{
"_dis1": "33 33 34",
"code": "es",
"lang": "Spanish",
"sense": "group or algebraic object regarded as a group with operation called addition",
"tags": [
"masculine"
],
"word": "grupo aditivo"
}
],
"wikipedia": [
"additive group"
],
"word": "additive group"
}
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"(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition."
],
"topics": [
"group-theory",
"mathematics",
"sciences"
]
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{
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"en:Mathematics"
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"glosses": [
"Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition."
],
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"(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"(algebra) Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition."
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
},
{
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"Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition."
],
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[
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"+",
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],
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"group object"
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],
[
"group scheme",
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],
"raw_glosses": [
"(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:",
"(category theory) Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition."
],
"topics": [
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
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}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "group or algebraic object regarded as a group with operation called addition",
"word": "additiivinen ryhmä"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "group or algebraic object regarded as a group with operation called addition",
"word": "yhteenlaskuryhmä"
},
{
"code": "de",
"lang": "German",
"sense": "group or algebraic object regarded as a group with operation called addition",
"tags": [
"feminine"
],
"word": "additive Gruppe"
},
{
"code": "es",
"lang": "Spanish",
"sense": "group or algebraic object regarded as a group with operation called addition",
"tags": [
"masculine"
],
"word": "grupo aditivo"
}
],
"wikipedia": [
"additive group"
],
"word": "additive group"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-06 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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