"direct system" meaning in All languages combined

{
  "antonyms": [
    {
      "word": "inverse system"
    }
  ],
  "forms": [
    {
      "form": "direct systems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "direct system (plural direct systems)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
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          "source": "w"
        },
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "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",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "algebraic structure",
          "algebraic structure"
        ],
        [
          "concrete category",
          "concrete category"
        ],
        [
          "module homomorphism",
          "module homomorphism"
        ],
        [
          "small category",
          "small category"
        ],
        [
          "covariant functor",
          "covariant functor"
        ],
        [
          "directed",
          "directed"
        ],
        [
          "poset",
          "poset"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "direct system"
      ]
    }
  ],
  "word": "direct system"
}

{
  "antonyms": [
    {
      "word": "inverse system"
    }
  ],
  "forms": [
    {
      "form": "direct systems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "direct system (plural direct systems)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English multiword terms",
        "English nouns",
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        "en:Algebra"
      ],
      "glosses": [
        "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."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "algebraic structure",
          "algebraic structure"
        ],
        [
          "concrete category",
          "concrete category"
        ],
        [
          "module homomorphism",
          "module homomorphism"
        ],
        [
          "small category",
          "small category"
        ],
        [
          "covariant functor",
          "covariant functor"
        ],
        [
          "directed",
          "directed"
        ],
        [
          "poset",
          "poset"
        ]
      ],
      "raw_glosses": [
        "(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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        "algebra",
        "mathematics",
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      ],
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      ]
    }
  ],
  "word": "direct system"
}