"duplicial" meaning in English

{
  "etymology_text": "(related to duplex?)",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "duplicial (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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Paul Slevin, “2-categories and cyclic homology”, in arXiv",
          "text": "Explicitly, our main aims are: 1) To study how the cyclic homology of associative algebras and of Hopf algebras in the original sense of Connes and Moscovici arises from a distributive law, and to clarify the role of different notions of bimonad in this generalisation. 2) To extend the procedure of twisting the cyclic homology of a unital associative algebra to any duplicial object defined by a distributive law. 3) To study the universality of Bohm and Stefan's approach to constructing duplicial objects, which we do in terms of a 2-categorical generalisation of Hochschild (co)homology. 4) To characterise those categories whose nerve admits a duplicial structure..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Defined by two associative operations that have a coassociative coproduct."
      ],
      "id": "en-duplicial-en-adj-LEEI5cwA",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "associative",
          "associative"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "coassociative",
          "coassociative"
        ],
        [
          "coproduct",
          "coproduct"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Defined by two associative operations that have a coassociative coproduct."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "duplicial"
}

{
  "etymology_text": "(related to duplex?)",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "duplicial (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 with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Paul Slevin, “2-categories and cyclic homology”, in arXiv",
          "text": "Explicitly, our main aims are: 1) To study how the cyclic homology of associative algebras and of Hopf algebras in the original sense of Connes and Moscovici arises from a distributive law, and to clarify the role of different notions of bimonad in this generalisation. 2) To extend the procedure of twisting the cyclic homology of a unital associative algebra to any duplicial object defined by a distributive law. 3) To study the universality of Bohm and Stefan's approach to constructing duplicial objects, which we do in terms of a 2-categorical generalisation of Hochschild (co)homology. 4) To characterise those categories whose nerve admits a duplicial structure..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Defined by two associative operations that have a coassociative coproduct."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "associative",
          "associative"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "coassociative",
          "coassociative"
        ],
        [
          "coproduct",
          "coproduct"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Defined by two associative operations that have a coassociative coproduct."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "duplicial"
}