{
  "aliases": [
    "units-of-a-monoid"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "08FHNR8Z5D"
    },
    {
      "field": "instance_of",
      "target": "0F8X8ZRQ53"
    }
  ],
  "body": "\n## Summary\n\nThe units of a monoid are its invertible elements.\nThey form a group under the operation of the monoid.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "aliases": [
      "units-of-a-monoid"
    ],
    "kind": "concept",
    "msc": [
      "20M10"
    ],
    "name": "Group of units of a monoid",
    "sources": [
      {
        "locator": "Group of units",
        "url": "https://en.wikipedia.org/wiki/Unit_(ring_theory)"
      }
    ],
    "tag": "0FJ90Y9926"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0FJ90Y9926/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0FJ90Y9926.md",
  "msc": [
    "20M10"
  ],
  "name": "Group of units of a monoid",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0FJ/0FJ90Y9926.md",
  "status": null,
  "tag": "0FJ90Y9926",
  "uri": "m2://0FJ90Y9926",
  "url": "https://math2.tamnd.com/wiki/group-of-units-of-a-monoid/",
  "writing": {
    "tag": "0FJ90Y9926",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}