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  "body": "\n## Summary\n\nA Stone algebra is a bounded [[distributive lattice|0HM0HQCK6N]] in which every element $a$ has a [[pseudocomplement|WMR73J0S26]] $a^*$ and $a^* \\vee a^{**} = 1$ holds.\nThe identity $a^* \\vee a^{**} = 1$ is called the Stone identity.\nEvery [[Boolean algebra|0XADJKM699]] is a Stone algebra, and so is every bounded chain.\nStone algebras lie between Boolean algebras and general pseudocomplemented distributive lattices.\n\n## Explanations\n\n### L1 human\n\nIn a Boolean algebra, every element and its complement together fill everything.\nA pseudocomplement is a weaker kind of complement, for which this can fail.\nA Stone algebra asks for a little less: the pseudocomplement of $a$ and the pseudocomplement of that together fill everything.\nThe three-element chain $0 \u003c m \u003c 1$ is an example: $m^* = 0$ and $m^{**} = 1$, so $m^* \\vee m^{**} = 1$, even though $m \\vee m^* = m$.\n",
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