See abelian in All languages combined, or Wiktionary
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"word": "abelian operation"
},
{
"word": "abelian ring"
},
{
"word": "anabelian"
},
{
"word": "metabelian"
},
{
"word": "nonabelian"
},
{
"word": "pre-abelian category"
},
{
"word": "quasiabelian"
},
{
"word": "semiabelian"
}
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"expansion": "Etymology tree\nNorwegian Abel\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -ius\nProto-Indo-European *-nós\nProto-Italic *-nos\nProto-Italic *-ānos\nLatin -ānus\nLatin -iānusbor.\nEnglish -ian\nEnglish abelian\n[Appendix:Glossary#loanword|Borrowed]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"suffix forming adjectives\", \"children\" : [ { \"terms\" : [ { \"id\" : \"suffix forming adjectives\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjective suffix\", \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-ijos\", \"lang_name\" : \"Proto-Italic\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-(i)yós\", \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-yós\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-ios\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Old Latin\", \"term\" : \"-ios\", \"lang\" : \"itc-ola\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-ius\", \"lang\" : \"la\" }, { \"id\" : \"-ian\", \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-nós\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-nos\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Proto-Italic\", \"term\" : \"*-ānos\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-ānus\", \"lang\" : \"la\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Latin\", \"term\" : \"-iānus\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"bor\" } ], \"lang_name\" : \"English\", \"term\" : \"-ian\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"abelian\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"abelian\">",
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},
{
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"2": "",
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"etymology_text": "Etymology tree\nNorwegian Abel\nProto-Indo-European *-(i)yós\nProto-Italic *-ijos\nProto-Italic *-ios\nOld Latin -ios\nLatin -ius\nProto-Indo-European *-nós\nProto-Italic *-nos\nProto-Italic *-ānos\nLatin -ānus\nLatin -iānusbor.\nEnglish -ian\nEnglish abelian\nName of the Norwegian mathematician Abel + -ian.",
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"expansion": "abelian (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "Tauberian"
}
],
"senses": [
{
"attestations": [
{
"date": "Mid 19ᵗʰ century.",
"references": []
}
],
"categories": [
"English terms with quotations",
"en:Mathematics"
],
"examples": [
{
"ref": "1996, Barry Simon, Representations of Finite and Compact Groups, page 50:",
"text": "The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.",
"type": "quotation"
}
],
"glosses": [
"Of an algebraic structure (usually a group or algebra), having a commutative defining operation."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"group",
"group"
],
[
"algebra",
"algebra"
],
[
"commutative",
"commutative"
],
[
"The Shorter Oxford English Dictionary on Historical Principles",
"w:Shorter Oxford English Dictionary"
],
[
"Oxford University Press",
"w:Oxford University Press"
]
],
"raw_glosses": [
"(mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation."
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
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],
"glosses": [
"Of a binary function, commutative."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"commutative",
"commutative"
]
],
"raw_glosses": [
"(mathematics) Of a binary function, commutative."
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/əˈbi.li.ən/",
"tags": [
"US"
]
},
{
"ipa": "/əˈbil.jən/",
"tags": [
"US"
]
},
{
"ipa": "/əˈbiːlɪən/",
"tags": [
"US"
]
},
{
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"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7d/LL-Q1860_%28eng%29-Vealhurl-abelian.wav/LL-Q1860_%28eng%29-Vealhurl-abelian.wav.mp3",
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"tags": [
"Southern-England"
]
},
{
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"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/03/LL-Q1860_%28eng%29-Vealhurl-abelian2.wav/LL-Q1860_%28eng%29-Vealhurl-abelian2.wav.mp3",
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"tags": [
"Southern-England"
]
},
{
"audio": "en-ca-abelian.ogg",
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"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/9/93/En-ca-abelian.ogg",
"tags": [
"Canada"
]
},
{
"rhymes": "-iən"
},
{
"rhymes": "-ɪljən"
},
{
"rhymes": "-iːliən"
}
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"lang_code": "hy",
"roman": "abelyan",
"sense": "math: of an algebraic structure",
"word": "աբելյան"
},
{
"code": "eu",
"lang": "Basque",
"lang_code": "eu",
"sense": "math: of an algebraic structure",
"word": "abeldar"
},
{
"code": "ca",
"lang": "Catalan",
"lang_code": "ca",
"sense": "math: of an algebraic structure",
"word": "abelià"
},
{
"code": "ca",
"lang": "Catalan",
"lang_code": "ca",
"sense": "math: of an algebraic structure",
"word": "commutatiu"
},
{
"code": "cs",
"lang": "Czech",
"lang_code": "cs",
"sense": "math: of an algebraic structure",
"tags": [
"feminine"
],
"word": "Abelova"
},
{
"code": "cs",
"lang": "Czech",
"lang_code": "cs",
"sense": "math: of an algebraic structure",
"tags": [
"feminine"
],
"word": "abelovská"
},
{
"code": "cs",
"lang": "Czech",
"lang_code": "cs",
"sense": "math: of an algebraic structure",
"word": "komutativní"
},
{
"code": "da",
"lang": "Danish",
"lang_code": "da",
"sense": "math: of an algebraic structure",
"word": "abelsk"
},
{
"code": "nl",
"lang": "Dutch",
"lang_code": "nl",
"sense": "math: of an algebraic structure",
"word": "abels"
},
{
"code": "nl",
"lang": "Dutch",
"lang_code": "nl",
"sense": "math: of an algebraic structure",
"word": "commutatief"
},
{
"code": "eo",
"lang": "Esperanto",
"lang_code": "eo",
"sense": "math: of an algebraic structure",
"word": "abela"
},
{
"code": "et",
"lang": "Estonian",
"lang_code": "et",
"sense": "math: of an algebraic structure",
"word": "Abeli"
},
{
"code": "et",
"lang": "Estonian",
"lang_code": "et",
"sense": "math: of an algebraic structure",
"word": "kommutatiivne"
},
{
"code": "fi",
"lang": "Finnish",
"lang_code": "fi",
"sense": "math: of an algebraic structure",
"word": "abelinen"
},
{
"code": "fi",
"lang": "Finnish",
"lang_code": "fi",
"sense": "math: of an algebraic structure",
"word": "kommutatiivinen"
},
{
"code": "fi",
"lang": "Finnish",
"lang_code": "fi",
"sense": "math: of an algebraic structure",
"word": "Abelin (as in Abelin ryhmä)"
},
{
"code": "fr",
"lang": "French",
"lang_code": "fr",
"sense": "math: of an algebraic structure",
"tags": [
"masculine"
],
"word": "abélien"
},
{
"code": "fr",
"lang": "French",
"lang_code": "fr",
"sense": "math: of an algebraic structure",
"tags": [
"feminine"
],
"word": "abélienne"
},
{
"code": "fr",
"lang": "French",
"lang_code": "fr",
"sense": "math: of an algebraic structure",
"tags": [
"masculine"
],
"word": "commutatif"
},
{
"code": "fr",
"lang": "French",
"lang_code": "fr",
"sense": "math: of an algebraic structure",
"tags": [
"feminine"
],
"word": "commutative"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "math: of an algebraic structure",
"word": "abelsch"
},
{
"code": "de",
"lang": "German",
"lang_code": "de",
"sense": "math: of an algebraic structure",
"word": "kommutativ"
},
{
"code": "hu",
"lang": "Hungarian",
"lang_code": "hu",
"sense": "math: of an algebraic structure",
"word": "abel"
},
{
"code": "is",
"lang": "Icelandic",
"lang_code": "is",
"sense": "math: of an algebraic structure",
"tags": [
"masculine"
],
"word": "Abel-"
},
{
"code": "is",
"lang": "Icelandic",
"lang_code": "is",
"sense": "math: of an algebraic structure",
"tags": [
"masculine"
],
"word": "abelskur"
},
{
"code": "it",
"lang": "Italian",
"lang_code": "it",
"sense": "math: of an algebraic structure",
"word": "abeliano"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"lang_code": "nb",
"sense": "math: of an algebraic structure",
"word": "abelsk"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"lang_code": "nb",
"sense": "math: of an algebraic structure",
"word": "kommutativ"
},
{
"code": "pl",
"lang": "Polish",
"lang_code": "pl",
"sense": "math: of an algebraic structure",
"tags": [
"feminine"
],
"word": "abelowa"
},
{
"code": "pl",
"lang": "Polish",
"lang_code": "pl",
"sense": "math: of an algebraic structure",
"tags": [
"feminine"
],
"word": "przemienna"
},
{
"code": "pt",
"lang": "Portuguese",
"lang_code": "pt",
"sense": "math: of an algebraic structure",
"word": "abeliano"
},
{
"code": "ru",
"lang": "Russian",
"lang_code": "ru",
"roman": "ábelev",
"sense": "math: of an algebraic structure",
"word": "а́белев"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "math: of an algebraic structure",
"word": "abeliano"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "math: of an algebraic structure",
"word": "conmutativo"
},
{
"code": "sv",
"lang": "Swedish",
"lang_code": "sv",
"sense": "math: of an algebraic structure",
"word": "abelsk"
},
{
"code": "sv",
"lang": "Swedish",
"lang_code": "sv",
"sense": "math: of an algebraic structure",
"word": "kommutativ"
},
{
"code": "uk",
"lang": "Ukrainian",
"lang_code": "uk",
"roman": "ábeliv",
"sense": "math: of an algebraic structure",
"word": "а́белів"
}
],
"wikipedia": [
"Niels Henrik Abel"
],
"word": "abelian"
}
Download raw JSONL data for abelian meaning in English (12.5kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-08-28 from the enwiktionary dump dated 2026-08-05 using wiktextract (872fc7b and 4deed51). 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.