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  "body": "\n## Summary\n\nThe center of a [[ring|0B1261B5ED]] is the set of elements that commute with every element of the ring.\nIt is a commutative subring, and the ring is commutative exactly when its center is the whole ring.\nEvery ring is an algebra over its center, which is why the center is the natural base ring in the study of noncommutative rings.\nIt is the ring analogue of the [[centre of a group|0DZ93493VN]].\n\n## Explanations\n\n### L1 human\n\nSome elements of a ring can be moved past any other element in a product without changing it.\nThese elements form the center.\nIn the ring of $n \\times n$ real matrices, only the multiples of the identity matrix commute with every matrix, so the center is a copy of $\\R$.\nIn the [[quaternions|0GE4DVQKR8]], the center consists of the real numbers.\n",
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