"cocyclic" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "cyclic"
      },
      "expansion": "co- + cyclic",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + cyclic",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cocyclic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Mohammad Hassanzadeh, Masoud Khalkhali, Ilya Shapiro, “Monoidal Categories, 2-Traces, and Cyclic Cohomology”, in arXiv",
          "text": "In this paper we show that to a unital associative algebra object (resp. co-unital co-associative co-algebra object) of any abelian monoidal category C endowed with a symmetric 2-trace one can attach a cyclic (resp. cocyclic) module, and therefore speak of the (co)cyclic homology of the (co)algebra \"with coefficients in the trace\".",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Synonym of concyclic"
      ],
      "id": "en-cocyclic-en-adj-vvoDO6Nj",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "concyclic",
          "concyclic#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Synonym of concyclic"
      ],
      "synonyms": [
        {
          "tags": [
            "synonym",
            "synonym-of"
          ],
          "word": "concyclic"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocyclic"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "cyclic"
      },
      "expansion": "co- + cyclic",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + cyclic",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cocyclic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with co-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Mohammad Hassanzadeh, Masoud Khalkhali, Ilya Shapiro, “Monoidal Categories, 2-Traces, and Cyclic Cohomology”, in arXiv",
          "text": "In this paper we show that to a unital associative algebra object (resp. co-unital co-associative co-algebra object) of any abelian monoidal category C endowed with a symmetric 2-trace one can attach a cyclic (resp. cocyclic) module, and therefore speak of the (co)cyclic homology of the (co)algebra \"with coefficients in the trace\".",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Synonym of concyclic"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "concyclic",
          "concyclic#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Synonym of concyclic"
      ],
      "synonyms": [
        {
          "tags": [
            "synonym",
            "synonym-of"
          ],
          "word": "concyclic"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocyclic"
}