"submonoid" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "monoid"
      },
      "expansion": "sub- + monoid",
      "name": "prefix"
    }
  ],
  "etymology_text": "From sub- + monoid.",
  "forms": [
    {
      "form": "submonoids",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "submonoid (plural submonoids)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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 sub-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A subset of a monoid that is itself a monoid"
      ],
      "id": "en-submonoid-en-noun-PZrPY5tU",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "monoid",
          "monoid"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A subset of a monoid that is itself a monoid"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "submonoid"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "monoid"
      },
      "expansion": "sub- + monoid",
      "name": "prefix"
    }
  ],
  "etymology_text": "From sub- + monoid.",
  "forms": [
    {
      "form": "submonoids",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "submonoid (plural submonoids)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with sub-",
        "en:Mathematics"
      ],
      "glosses": [
        "A subset of a monoid that is itself a monoid"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "monoid",
          "monoid"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A subset of a monoid that is itself a monoid"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "submonoid"
}