"direct system" meaning in English

See direct system in All languages combined, or Wiktionary

Noun

Forms: direct systems [plural]
Head templates: {{en-noun}} direct system (plural direct systems)
  1. (algebra) A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset. Wikipedia link: direct system Categories (topical): Algebra
    Sense id: en-direct_system-en-noun-QVCe-F6e Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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        "A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset."
      ],
      "id": "en-direct_system-en-noun-QVCe-F6e",
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        ],
        [
          "module homomorphism",
          "module homomorphism"
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        [
          "small category",
          "small category"
        ],
        [
          "covariant functor",
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        ],
        [
          "directed",
          "directed"
        ],
        [
          "poset",
          "poset"
        ]
      ],
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        "(algebra) A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset."
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        "A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset."
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        "(algebra) A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset."
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Download raw JSONL data for direct system meaning in English (1.4kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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