Auslander-Reiten theory in English

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{
  "etymology_text": "Introduced by Maurice Auslander and Idun Reiten (1975).",
  "head_templates": [
    {
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      },
      "expansion": "Auslander-Reiten theory (uncountable)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
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            "Formal sciences",
            "Sciences",
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        }
      ],
      "glosses": [
        "The study of the representation theory of Artinian rings using techniques such as Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers."
      ],
      "id": "en-Auslander-Reiten_theory-en-noun-iIFKxUye",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "representation theory",
          "representation theory"
        ],
        [
          "Artinian",
          "Artinian"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "technique",
          "technique"
        ],
        [
          "Auslander-Reiten sequence",
          "Auslander-Reiten sequence"
        ],
        [
          "almost split sequence",
          "almost split sequence"
        ],
        [
          "Auslander-Reiten quiver",
          "Auslander-Reiten quiver"
        ]
      ],
      "raw_glosses": [
        "(algebra) The study of the representation theory of Artinian rings using techniques such as Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Auslander-Reiten theory"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Introduced by Maurice Auslander and Idun Reiten (1975).",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Auslander-Reiten theory (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Algebra"
      ],
      "glosses": [
        "The study of the representation theory of Artinian rings using techniques such as Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "representation theory",
          "representation theory"
        ],
        [
          "Artinian",
          "Artinian"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "technique",
          "technique"
        ],
        [
          "Auslander-Reiten sequence",
          "Auslander-Reiten sequence"
        ],
        [
          "almost split sequence",
          "almost split sequence"
        ],
        [
          "Auslander-Reiten quiver",
          "Auslander-Reiten quiver"
        ]
      ],
      "raw_glosses": [
        "(algebra) The study of the representation theory of Artinian rings using techniques such as Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Auslander-Reiten theory"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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"Auslander-Reiten theory" meaning in English

Noun