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  "body": "\n## Example\n\nLet $\\mathbb{Z} = \\{\\dots, -2, -1, 0, 1, 2, \\dots\\}$ be the set of integers, with the usual addition and multiplication.\nThen $\\mathbb{Z}$ is a [[commutative ring|0GYGHKX834]].\nIts zero element is $0$ and its identity element is $1$.\n\n## Remarks\n\nThe only [[units|019NFGFPR5]] of $\\mathbb{Z}$ are $1$ and $-1$.\nThe product of two nonzero integers is not zero, thus $\\mathbb{Z}$ is an [[integral domain|09S3PFBEPM]].\nThe ring $\\mathbb{Z}$ is not a [[field|0QA8CHH8MG]], because $2$ has no multiplicative inverse in $\\mathbb{Z}$.\n\n## Explanations\n\n### L1 human\n\nThe integers are the first example of a ring.\nYou can add, subtract and multiply two integers, and the result is an integer.\nYou cannot always divide: $1 / 2$ is not an integer.\n",
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