"abelianization" meaning in English

See abelianization in All languages combined, or Wiktionary

Noun

Forms: abelianizations [plural], abelianisation [alternative]
Etymology: Etymology tree Norwegian Abel Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English abelian Proto-Indo-European *-id- Proto-Indo-European *-yéti Proto-Indo-European *-idyéti Proto-Hellenic *-íďďō Ancient Greek -ῐ́ζω (-ĭ́zō)bor. Late Latin -izōder. Middle French -iserbor. Middle English -isen English -ize English abelianize Proto-Indo-European *-tis Proto-Indo-European *-Hō Proto-Indo-European *-tiHō Proto-Italic *-tiō Latin -tiō Latin -ātiōlbor. Old French -ationbor. Middle English -acioun English -ation English abelianization From abelianize + -ation. Etymology templates: {{etymon|en|:af|abelianize|-ation|text=+|tree=1}} Etymology tree Norwegian Abel Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English abelian Proto-Indo-European *-id- Proto-Indo-European *-yéti Proto-Indo-European *-idyéti Proto-Hellenic *-íďďō Ancient Greek -ῐ́ζω (-ĭ́zō)bor. Late Latin -izōder. Middle French -iserbor. Middle English -isen English -ize English abelianize Proto-Indo-European *-tis Proto-Indo-European *-Hō Proto-Indo-European *-tiHō Proto-Italic *-tiō Latin -tiō Latin -ātiōlbor. Old French -ationbor. Middle English -acioun English -ation English abelianization [Appendix:Glossary#loanword|Borrowed]] from", "terms" : [ { "children" : [ { "terms" : [ { "id" : "-ian", "children" : [ { "terms" : [ { "id" : "adjective", "children" : [ { "terms" : [ { "id" : "verbal adjective", "children" : [ { "terms" : [ { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-nós", "status" : "ok", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Proto-Italic", "term" : "*-nos", "lang" : "itc-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Latin", "term" : "-nus", "lang" : "la" } ], "keyword_label" : "From", "keyword" : "from" } ], "status" : "ok", "lang_name" : "Latin", "term" : "-ānus", "lang" : "la" } ], "keyword_label" : "From", "keyword" : "from" } ], "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" }, { "children" : [ { "terms" : [ { "children" : [ { "keyword_abbrev" : "bor.", "keyword_label" : "Borrowed from", "terms" : [ { "children" : [ { "keyword_abbrev" : "der.", "keyword_label" : "Derived from", "terms" : [ { "children" : [ { "keyword_abbrev" : "bor.", "keyword_label" : "Borrowed from", "terms" : [ { "id" : "verbal", "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-id-", "status" : "missing", "lang" : "ine-pro" }, { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-yéti", "status" : "ok", "lang" : "ine-pro" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "Proto-Indo-European", "term" : "*-idyéti", "status" : "inline", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Proto-Hellenic", "term" : "*-íďďō", "status" : "inline", "lang" : "grk-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Ancient Greek", "term" : "-ῐ́ζω", "lang" : "grc" } ], "keyword" : "bor" } ], "lang_name" : "Late Latin", "term" : "-izō", "status" : "ok", "lang" : "la-lat" } ], "keyword" : "derived" } ], "lang_name" : "Middle French", "term" : "-iser", "status" : "inline", "lang" : "frm" } ], "keyword" : "bor" } ], "lang_name" : "Middle English", "term" : "-isen", "status" : "inline", "lang" : "enm" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "English", "term" : "-ize", "status" : "ok", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "abelianize", "status" : "ok", "lang" : "en" }, { "children" : [ { "terms" : [ { "children" : [ { "keyword_abbrev" : "bor.", "keyword_label" : "Borrowed from", "terms" : [ { "children" : [ { "keyword_abbrev" : "lbor.", "keyword_label" : "Learned borrowing from", "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "alt" : "*-tiHō", "lang_name" : "Proto-Indo-European", "status" : "inline", "children" : [ { "terms" : [ { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-tis", "status" : "ok", "lang" : "ine-pro" }, { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-Hō", "status" : "ok", "lang" : "ine-pro" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Proto-Italic", "term" : "*-tiō", "status" : "ok", "lang" : "itc-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Latin", "term" : "-tiō", "status" : "ok", "lang" : "la" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Latin", "term" : "-ātiō", "status" : "ok", "lang" : "la" } ], "keyword" : "lbor" } ], "lang_name" : "Old French", "term" : "-ation", "status" : "ok", "lang" : "fro" } ], "keyword" : "bor" } ], "lang_name" : "Middle English", "term" : "-acioun", "status" : "ok", "lang" : "enm" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "English", "term" : "-ation", "status" : "ok", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "abelianization", "status" : "ok", "lang" : "en" }" data-lang="en" data-title="abelianization"> From abelianize + -ation. Head templates: {{en-noun}} abelianization (plural abelianizations)
  1. (mathematics) A homomorphism that transforms a group into an abelian group. Translations (Translations): Abelisierung (German), абелианизация (abelianizacija) [feminine] (Russian)

Inflected forms

Alternative forms

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: \"Proto-Italic\", \"term\" : \"*-tiō\", \"status\" : \"ok\", \"lang\" : \"itc-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Latin\", \"term\" : \"-tiō\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Latin\", \"term\" : \"-ātiō\", \"status\" : \"ok\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"Old French\", \"term\" : \"-ation\", \"status\" : \"ok\", \"lang\" : \"fro\" } ], \"keyword\" : \"bor\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"-acioun\", \"status\" : \"ok\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"-ation\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"abelianization\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"abelianization\">\nFrom abelianize + -ation.",
      "name": "etymon"
    }
  ],
  "etymology_text": "Etymology tree\nNorwegian Abel\nProto-Indo-European *-nós\nProto-Italic *-nos\nLatin -nus\nLatin -ānus\nLatin -iānusbor.\nEnglish -ian\nEnglish abelian\nProto-Indo-European *-id-\nProto-Indo-European *-yéti\nProto-Indo-European *-idyéti\nProto-Hellenic *-íďďō\nAncient Greek -ῐ́ζω (-ĭ́zō)bor.\nLate Latin -izōder.\nMiddle French -iserbor.\nMiddle English -isen\nEnglish -ize\nEnglish abelianize\nProto-Indo-European *-tis\nProto-Indo-European *-Hō\nProto-Indo-European *-tiHō\nProto-Italic *-tiō\nLatin -tiō\nLatin -ātiōlbor.\nOld French -ationbor.\nMiddle English -acioun\nEnglish -ation\nEnglish abelianization\nFrom abelianize + -ation.",
  "forms": [
    {
      "form": "abelianizations",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "abelianisation",
      "tags": [
        "alternative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "abelianization (plural abelianizations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with etymology texts",
        "English entries with etymology trees",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms suffixed with -ation",
        "Entries with translation boxes",
        "Pages using etymon with no ID",
        "Pages with 1 entry",
        "Pages with entries",
        "Pages with etymology trees",
        "Terms with German translations",
        "Terms with Russian translations",
        "Translation table header lacks gloss",
        "en:Mathematics"
      ],
      "glosses": [
        "A homomorphism that transforms a group into an abelian group."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "group",
          "group"
        ],
        [
          "abelian",
          "abelian"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A homomorphism that transforms a group into an abelian group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "lang_code": "de",
      "sense": "Translations",
      "word": "Abelisierung"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "lang_code": "ru",
      "roman": "abelianizacija",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "абелианизация"
    }
  ],
  "word": "abelianization"
}

Download raw JSONL data for abelianization meaning in English (8.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-05-31 from the enwiktionary dump dated 2026-05-01 using wiktextract (702fa29 and 7f4db16). 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.