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  "aliases": [
    "alternative-binary-operation",
    "alternative-magma",
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    "left-alternative",
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  "body": "\n## Summary\n\nIn abstract algebra, **alternativity** is a property of a [[binary operation|0580ZJSA3Q]]. A magma $G$ is said to be **left alternative** if $(xx)y = x(xy)$ for all $x, y \\in G$ and **right alternative** if $y(xx) = (yx)x$ for all $x, y \\in G$. A magma that is both left and right alternative is said to be **alternative**.\n",
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  "name": "Alternativity",
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