"affine scheme" meaning in English

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      "form": "affine schemes",
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring."
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        [
          "mathematics",
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        [
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        [
          "affine variety",
          "affine variety"
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        [
          "qua",
          "qua"
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        [
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          "polynomial",
          "polynomial"
        ],
        [
          "function",
          "function"
        ],
        [
          "element",
          "element"
        ],
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          "spectrum",
          "spectrum"
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          "locally ringed space",
          "locally ringed space"
        ]
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        "(algebraic geometry) An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring."
      ],
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        "algebraic-geometry",
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        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "affine scheme"
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        "An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring."
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        "(algebraic geometry) An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring."
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