"codepth" meaning in English

See codepth in All languages combined, or Wiktionary

Noun

Forms: codepths [plural]
Etymology: co- + depth. Etymology templates: {{prefix|en|co|depth}} co- + depth Head templates: {{en-noun}} codepth (plural codepths)
  1. (commutative algebra, of a finitely generated module over a local ring) The Krull dimension minus the depth. Categories (topical): Algebra Related terms: Cohen-Macaulay
    Sense id: en-codepth-en-noun-NT2og0dc Categories (other): English entries with incorrect language header, English terms prefixed with co-

Inflected forms

Download JSON data for codepth meaning in English (1.4kB)

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      "args": {
        "1": "en",
        "2": "co",
        "3": "depth"
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      "expansion": "co- + depth",
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    }
  ],
  "etymology_text": "co- + depth.",
  "forms": [
    {
      "form": "codepths",
      "tags": [
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  "head_templates": [
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      "args": {},
      "expansion": "codepth (plural codepths)",
      "name": "en-noun"
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  "pos": "noun",
  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The Krull dimension minus the depth."
      ],
      "id": "en-codepth-en-noun-NT2og0dc",
      "links": [
        [
          "commutative algebra",
          "commutative algebra"
        ],
        [
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          "finitely generated"
        ],
        [
          "module",
          "module"
        ],
        [
          "local",
          "local#English:_ring"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "Krull dimension",
          "Krull dimension"
        ],
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        ]
      ],
      "qualifier": "commutative algebra",
      "raw_glosses": [
        "(commutative algebra, of a finitely generated module over a local ring) The Krull dimension minus the depth."
      ],
      "raw_tags": [
        "of a finitely generated module over a local ring"
      ],
      "related": [
        {
          "word": "Cohen-Macaulay"
        }
      ]
    }
  ],
  "word": "codepth"
}
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  "etymology_text": "co- + depth.",
  "forms": [
    {
      "form": "codepths",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "codepth (plural codepths)",
      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Cohen-Macaulay"
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  "senses": [
    {
      "categories": [
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      "glosses": [
        "The Krull dimension minus the depth."
      ],
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        ],
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      "qualifier": "commutative algebra",
      "raw_glosses": [
        "(commutative algebra, of a finitely generated module over a local ring) The Krull dimension minus the depth."
      ],
      "raw_tags": [
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  ],
  "word": "codepth"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-25 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). 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.