"hypersemigroup" meaning in All languages combined

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        "2": "hyper",
        "3": "semigroup"
      },
      "expansion": "hyper- + semigroup",
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  ],
  "etymology_text": "From hyper- + semigroup.",
  "forms": [
    {
      "form": "hypersemigroups",
      "tags": [
        "plural"
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  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hypersemigroup (plural hypersemigroups)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
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          "source": "w"
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      "examples": [
        {
          "ref": "2016, Niovi Kehayopulu, “A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets”, in arXiv:",
          "text": "An hypersemigroup H is left (resp. right) quasi-regular if and only if, for any fuzzy subset f of S we have f#x5C;preceq 1#x5C;circf#x5C;circ 1#x5C;circf (resp. f#x5C;preceqf#x5C;circ 1#x5C;circf#x5C;circ 1) and it is semisimple if and only if, for any fuzzy subset f of S we have f#x5C;preceq 1#x5C;circf#x5C;circ 1#x5C;circf#x5C;circ 1.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A nonempty set for which the set of all subsets forms a semiring."
      ],
      "id": "en-hypersemigroup-en-noun--n-LhPFO",
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        [
          "subset",
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          "semiring",
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      "raw_glosses": [
        "(mathematics) A nonempty set for which the set of all subsets forms a semiring."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hypersemigroup"
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  "etymology_templates": [
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        "2": "hyper",
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  ],
  "etymology_text": "From hyper- + semigroup.",
  "forms": [
    {
      "form": "hypersemigroups",
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          "ref": "2016, Niovi Kehayopulu, “A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets”, in arXiv:",
          "text": "An hypersemigroup H is left (resp. right) quasi-regular if and only if, for any fuzzy subset f of S we have f#x5C;preceq 1#x5C;circf#x5C;circ 1#x5C;circf (resp. f#x5C;preceqf#x5C;circ 1#x5C;circf#x5C;circ 1) and it is semisimple if and only if, for any fuzzy subset f of S we have f#x5C;preceq 1#x5C;circf#x5C;circ 1#x5C;circf#x5C;circ 1.",
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      ],
      "glosses": [
        "A nonempty set for which the set of all subsets forms a semiring."
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        "(mathematics) A nonempty set for which the set of all subsets forms a semiring."
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  "word": "hypersemigroup"
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