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  "body": "\n## Summary\n\nA multialgebra is a set with multivalued operations.\nEach operation sends a tuple of elements to a nonempty set of elements, not to a single element.\nIt generalises the [[algebraic structure|QJGPT2W0FT]] of universal algebra, where each value is one element.\nMultialgebras include the [[hyperstructures|1HJF40J5AK]] such as hypergroups, and they appear when one passes to quotients, to sets of cosets, or to relations instead of functions.\n\n## Explanations\n\n### L1 human\n\nAn ordinary operation, like addition, gives exactly one answer.\nA multivalued operation may give several possible answers at once.\nFor example, on the real numbers let the \"combination\" of $x$ and $y$ be every number between them.\nThen $1$ combined with $3$ is the whole interval $[1, 3]$.\nA multialgebra is a set with one or more operations of this kind, of any number of arguments.\n",
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