"forgetful functor" meaning in English

{
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      "form": "forgetful functors",
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      "expansion": "forgetful functor (plural forgetful functors)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A functor that forgets or drops some or all of its input's structure or properties before mapping to the output."
      ],
      "id": "en-forgetful_functor-en-noun-SFHc4rWw",
      "links": [
        [
          "category theory",
          "category theory"
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        [
          "functor",
          "functor"
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      "raw_glosses": [
        "(category theory) A functor that forgets or drops some or all of its input's structure or properties before mapping to the output."
      ],
      "synonyms": [
        {
          "sense": "in category theory",
          "word": "stripping functor"
        },
        {
          "sense": "in category theory",
          "word": "underlying functor"
        }
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        "mathematics",
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        "physical-sciences",
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      "translations": [
        {
          "code": "is",
          "lang": "Icelandic",
          "lang_code": "is",
          "sense": "category theory: a functor that forgets its inputs's structure",
          "tags": [
            "masculine"
          ],
          "word": "gleymskuvarpi"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "lang_code": "es",
          "sense": "category theory: a functor that forgets its inputs's structure",
          "word": "funtor de olvido"
        }
      ]
    }
  ],
  "word": "forgetful functor"
}

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      "form": "forgetful functors",
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      "expansion": "forgetful functor (plural forgetful functors)",
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  "lang_code": "en",
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        "en:Algebra",
        "en:Category theory",
        "en:Logic"
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      "glosses": [
        "A functor that forgets or drops some or all of its input's structure or properties before mapping to the output."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "functor",
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        ]
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      "raw_glosses": [
        "(category theory) A functor that forgets or drops some or all of its input's structure or properties before mapping to the output."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
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    }
  ],
  "synonyms": [
    {
      "sense": "in category theory",
      "word": "stripping functor"
    },
    {
      "sense": "in category theory",
      "word": "underlying functor"
    }
  ],
  "translations": [
    {
      "code": "is",
      "lang": "Icelandic",
      "lang_code": "is",
      "sense": "category theory: a functor that forgets its inputs's structure",
      "tags": [
        "masculine"
      ],
      "word": "gleymskuvarpi"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "lang_code": "es",
      "sense": "category theory: a functor that forgets its inputs's structure",
      "word": "funtor de olvido"
    }
  ],
  "word": "forgetful functor"
}