"lie over" meaning in English

See lie over in All languages combined, or Wiktionary

Verb

Forms: lies over [present, singular, third-person], lying over [participle, present], lay over [past], lain over [participle, past]
Head templates: {{en-verb|lie<,,lay,lain> over}} lie over (third-person singular simple present lies over, present participle lying over, simple past lay over, past participle lain over)
  1. (intransitive) To be deferred to a future occasion. Tags: intransitive
    Sense id: en-lie_over-en-verb-GAabE9zZ
  2. (transitive, algebra, ring theory, of a prime ideal q of a ring R' with subring R) To intersect with R at some other prime ideal p; q lies over p if and only if q∩R=p. Tags: transitive Categories (topical): Algebra Synonyms: lie above
    Sense id: en-lie_over-en-verb-5S4J6FuY Categories (other): English entries with incorrect language header, English phrasal verbs with particle (over) Disambiguation of English entries with incorrect language header: 14 86 Disambiguation of English phrasal verbs with particle (over): 18 82 Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for lie over meaning in English (2.8kB)

{
  "forms": [
    {
      "form": "lies over",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "lying over",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "lay over",
      "tags": [
        "past"
      ]
    },
    {
      "form": "lain over",
      "tags": [
        "participle",
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "lie<,,lay,lain> over"
      },
      "expansion": "lie over (third-person singular simple present lies over, present participle lying over, simple past lay over, past participle lain over)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "categories": [],
      "glosses": [
        "To be deferred to a future occasion."
      ],
      "id": "en-lie_over-en-verb-GAabE9zZ",
      "raw_glosses": [
        "(intransitive) To be deferred to a future occasion."
      ],
      "tags": [
        "intransitive"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "14 86",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "18 82",
          "kind": "other",
          "name": "English phrasal verbs with particle (over)",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "ref": "1971, Max D. Larsen, Paul J. McCarthy, Multiplicative Theory of Ideals, Academic Press, page 84",
          "text": "Let R be a subring of a ring R′ which is integral over R. If P is a prime ideal of R, then there is a prime ideal P′ of R′ that lies over P. Moreover, if P′ and P″ are prime ideals of R′ that lie over P and if P′ ⊆ P″, then P′ = P″.",
          "type": "quotation"
        },
        {
          "ref": "2012, A. Barlotti, E.W. Ellers, P. Plaumann, K. Strambach, Generators and Relations in Groups and Geometries, Springer Science & Business Media, page 369",
          "text": "Let R ⊆ S be integral domains such that R is integrally closed and S is integral over R. Suppose that P′ ⊆ P are prime ideals of R. Let Q be a prime ideal of S which lies over P. Then Q contains a prime ideal Q′ of S that lies over P′.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "To intersect with R at some other prime ideal p; q lies over p if and only if q∩R=p."
      ],
      "id": "en-lie_over-en-verb-5S4J6FuY",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "ring theory",
          "ring theory"
        ],
        [
          "prime ideal",
          "prime ideal"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "subring",
          "subring"
        ],
        [
          "intersect",
          "intersect"
        ],
        [
          "if and only if",
          "if and only if"
        ]
      ],
      "qualifier": "ring theory",
      "raw_glosses": [
        "(transitive, algebra, ring theory, of a prime ideal q of a ring R' with subring R) To intersect with R at some other prime ideal p; q lies over p if and only if q∩R=p."
      ],
      "raw_tags": [
        "of a prime ideal q of a ring R' with subring R"
      ],
      "synonyms": [
        {
          "word": "lie above"
        }
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "lie over"
}
{
  "categories": [
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English phrasal verbs",
    "English phrasal verbs with particle (over)",
    "English verbs"
  ],
  "forms": [
    {
      "form": "lies over",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "lying over",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "lay over",
      "tags": [
        "past"
      ]
    },
    {
      "form": "lain over",
      "tags": [
        "participle",
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "lie<,,lay,lain> over"
      },
      "expansion": "lie over (third-person singular simple present lies over, present participle lying over, simple past lay over, past participle lain over)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        "English intransitive verbs"
      ],
      "glosses": [
        "To be deferred to a future occasion."
      ],
      "raw_glosses": [
        "(intransitive) To be deferred to a future occasion."
      ],
      "tags": [
        "intransitive"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "English transitive verbs",
        "en:Algebra"
      ],
      "examples": [
        {
          "ref": "1971, Max D. Larsen, Paul J. McCarthy, Multiplicative Theory of Ideals, Academic Press, page 84",
          "text": "Let R be a subring of a ring R′ which is integral over R. If P is a prime ideal of R, then there is a prime ideal P′ of R′ that lies over P. Moreover, if P′ and P″ are prime ideals of R′ that lie over P and if P′ ⊆ P″, then P′ = P″.",
          "type": "quotation"
        },
        {
          "ref": "2012, A. Barlotti, E.W. Ellers, P. Plaumann, K. Strambach, Generators and Relations in Groups and Geometries, Springer Science & Business Media, page 369",
          "text": "Let R ⊆ S be integral domains such that R is integrally closed and S is integral over R. Suppose that P′ ⊆ P are prime ideals of R. Let Q be a prime ideal of S which lies over P. Then Q contains a prime ideal Q′ of S that lies over P′.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "To intersect with R at some other prime ideal p; q lies over p if and only if q∩R=p."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "ring theory",
          "ring theory"
        ],
        [
          "prime ideal",
          "prime ideal"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "subring",
          "subring"
        ],
        [
          "intersect",
          "intersect"
        ],
        [
          "if and only if",
          "if and only if"
        ]
      ],
      "qualifier": "ring theory",
      "raw_glosses": [
        "(transitive, algebra, ring theory, of a prime ideal q of a ring R' with subring R) To intersect with R at some other prime ideal p; q lies over p if and only if q∩R=p."
      ],
      "raw_tags": [
        "of a prime ideal q of a ring R' with subring R"
      ],
      "synonyms": [
        {
          "word": "lie above"
        }
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "lie over"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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