"faithfully flat" meaning in All languages combined

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "faithfully flat (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebraic geometry",
          "orig": "en:Algebraic geometry",
          "parents": [
            "Algebra",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Flat and surjective."
      ],
      "id": "en-faithfully_flat-en-adj-2BtcescC",
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "scheme",
          "scheme"
        ],
        [
          "Flat",
          "flat"
        ],
        [
          "surjective",
          "surjective"
        ]
      ],
      "raw_glosses": [
        "(algebraic geometry, of a morphism of schemes) Flat and surjective."
      ],
      "raw_tags": [
        "of a morphism of schemes"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "faithfully flat"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "faithfully flat (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English uncomparable adjectives",
        "en:Algebraic geometry"
      ],
      "glosses": [
        "Flat and surjective."
      ],
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "scheme",
          "scheme"
        ],
        [
          "Flat",
          "flat"
        ],
        [
          "surjective",
          "surjective"
        ]
      ],
      "raw_glosses": [
        "(algebraic geometry, of a morphism of schemes) Flat and surjective."
      ],
      "raw_tags": [
        "of a morphism of schemes"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "faithfully flat"
}