"Morita equivalence" meaning in English

{
  "etymology_text": "Named after Japanese mathematician Kiiti Morita, who defined equivalence and a similar notion of duality in 1958.",
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      "expansion": "Morita equivalence (uncountable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A certain relationship defined between algebraic rings that preserves many ring-theoretic properties."
      ],
      "id": "en-Morita_equivalence-en-noun-~zIbLDHb",
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          "mathematics",
          "mathematics"
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          "relationship",
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        [
          "algebraic",
          "algebraic"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "preserve",
          "preserve"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A certain relationship defined between algebraic rings that preserves many ring-theoretic properties."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Kiiti Morita",
        "Morita equivalence"
      ]
    }
  ],
  "word": "Morita equivalence"
}

{
  "etymology_text": "Named after Japanese mathematician Kiiti Morita, who defined equivalence and a similar notion of duality in 1958.",
  "head_templates": [
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      "expansion": "Morita equivalence (uncountable)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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      "glosses": [
        "A certain relationship defined between algebraic rings that preserves many ring-theoretic properties."
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          "mathematics"
        ],
        [
          "relationship",
          "relationship"
        ],
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          "algebraic",
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        ],
        [
          "ring",
          "ring"
        ],
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          "preserve",
          "preserve"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A certain relationship defined between algebraic rings that preserves many ring-theoretic properties."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Kiiti Morita",
        "Morita equivalence"
      ]
    }
  ],
  "word": "Morita equivalence"
}