{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca",
  "labels": {
    "zh-CN": "左理想",
    "en": "left ideal"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "b590ed1eace9d3e6fdc82c98e768514c1c1e89c32d42d4026ba60c373cf8af57",
  "occurrences": [
    {
      "concept_id": "urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-06/01-algebras-and-ideals",
      "anchor": "concept-6-left-ideal",
      "chapter": "6",
      "section": "6.1",
      "offset": 9057,
      "range": [
        13813,
        14038
      ],
      "source_revision": "b14007c90d889a528ad167bc399531861f998294a0ab6687318a2d3cdc0b7deb",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "左理想(left ideal)",
      "context": {
        "range": [
          13664,
          14040
        ],
        "quote": "向量子空间 $\\mathcal B$ 若对乘积封闭，则它是 $\\mathcal A$ 的子代数，这一性质可写作 $\\mathcal B\\mathcal B\\subseteq\\mathcal B$ 。向量子空间 $\\mathcal { L }$ 若满足以下条件，则称为 $\\mathcal A$ 的 <u id=\"concept-6-left-ideal\" class=\"concept-term\" data-concept-identity=\"urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca\" data-concept-route=\"/concept-identities#concept-e5d1ce04-babc-4a8b-b31d-f65f6ed73aca\">左理想(left ideal)</u> ：",
        "quote_sha256": "caa058d42e97a41bc43f4cc32aba144c2c3fb1bf80d2e2314c0add52a9cf34a3",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-06/01-algebras-and-ideals",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-e459817dcbe53d70320bf3a4"
    },
    {
      "concept_id": "urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-06/01-algebras-and-ideals",
      "anchor": "first-e744d74485fad56813dd-en",
      "chapter": "6",
      "section": "6.1",
      "offset": 11889,
      "range": [
        16138,
        16367
      ],
      "source_revision": "2358bd7fdfb406dfc4a25849c3a46b00cea749852ae0264ca4ab53cc328ad69e",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "left ideal",
      "context": {
        "range": [
          15895,
          16370
        ],
        "quote": "A vector subspace $\\mathcal B$ of $\\mathcal A$ is a subalgebra if it is closed with respect to products, a property that may be written $\\mathcal B\\mathcal B\\subseteq\\mathcal B$ . A vector subspace $\\mathcal { L }$ of $\\mathcal A$ is called a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca\" data-concept-route=\"/concept-identities#concept-e5d1ce04-babc-4a8b-b31d-f65f6ed73aca\" id=\"first-e744d74485fad56813dd-en\">left ideal</u> if",
        "quote_sha256": "f4378551c0ad4b02c65632f610eae3b017478fffe72f9ca7c181903e45b9379e",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-06/01-algebras-and-ideals",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-6573cb94fa9a7ca93f8fbd91"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-06/01-algebras-and-ideals",
      "lang": "en",
      "section": "6.1",
      "signal": "term-mark",
      "label": "left ideal",
      "english": "left ideal",
      "offset": 10475
    },
    {
      "route": "zh/chapter-06/01-algebras-and-ideals",
      "lang": "zh-CN",
      "section": "6.1",
      "signal": "term-mark",
      "label": "左理想",
      "english": "left ideal",
      "offset": 7965
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-e459817dcbe53d70320bf3a4",
    "occ-6573cb94fa9a7ca93f8fbd91"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 2,
    "located_occurrences": 2,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "45dbbd4d2e1a883adb07b98ab91767a9593ab6a819906e61d2aa22e0f7abc5e6",
  "optional_enrichments": []
}
