"scheme theory" meaning in English

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        "Used other than figuratively or idiomatically: see scheme, theory."
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          "langcode": "en",
          "name": "Algebraic geometry",
          "orig": "en:Algebraic geometry",
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          "ref": "1997, Kenji Ueno, translated by Goro Kato, Algebraic Geometry 1: From Algebraic Varieties to Schemes, American Mathematical Society, page x",
          "text": "This book develops Grothendieck's scheme theory as a method for studying algebraic geometry.[…]In the preface of EGA [ Éléments de géométrie algébrique ], Grothendieck even claimed that a knowledge of classical algebraic geometry may hinder the reader from studying scheme theory.",
          "type": "quotation"
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          "ref": "1999, Freddy Van Oystaeyen, “A Deformation of Projective Schemes”, in Freddy Van Oystaeyen, editor, Commutative Algebra and Algebraic Geometry, Marcel Dekker, page 295",
          "text": "There is another approach dealing with more ring theoretical objects, i.e. starting from a nice class of algebras, called schematic algebras, it is possible to define a space, a Zariski topology, points, lines etc..., cf. [VOW1], [AZ], [ATV]. then it becomes possible to develop a scheme theory, completely extending the theory of schemes in classical algebraic geometry.",
          "type": "quotation"
        },
        {
          "ref": "2004, Haruzo Hida, p-Adic Automorphic Forms on Shimura Varieties, Springer, page 68",
          "text": "The main point of scheme theory is to consider C as a covariant functor R#x5C;mapstoC(R) from the category #x5C;textit#x7B;B-ALG#x7D; (also written as #x5C;textit#x7B;ALG#x7D;#x5F;#x7B;#x2F;#x5C;mathfrak#x7B;B) of 𝔅-algebras into the category textit SETS of sets.}}",
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        "The branch of mathematics that concerns schemes (locally ringed spaces admitting coverings by open sets, each isomorphic to the spectrum of some commutative ring)."
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          "scheme",
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          "locally ringed space",
          "locally ringed space"
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          "spectrum",
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          "commutative ring",
          "commutative ring"
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        "(algebraic geometry) The branch of mathematics that concerns schemes (locally ringed spaces admitting coverings by open sets, each isomorphic to the spectrum of some commutative ring)."
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          "ref": "1998, Douglas J. Hacker, Metacognition in Educational Theory and Practice, page 78",
          "text": "With these ideas of scheme theory, perturbation, and abstraction, it becomes possible to see how metacognition might be interpreted in constructivist terms.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A theory of group decision-making which explains group decisions as the result of a decision scheme on the initial distribution of attitudes in the group."
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        "(psychology) A theory of group decision-making which explains group decisions as the result of a decision scheme on the initial distribution of attitudes in the group."
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  "word": "scheme theory"
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          "ref": "1997, Kenji Ueno, translated by Goro Kato, Algebraic Geometry 1: From Algebraic Varieties to Schemes, American Mathematical Society, page x",
          "text": "This book develops Grothendieck's scheme theory as a method for studying algebraic geometry.[…]In the preface of EGA [ Éléments de géométrie algébrique ], Grothendieck even claimed that a knowledge of classical algebraic geometry may hinder the reader from studying scheme theory.",
          "type": "quotation"
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          "ref": "1999, Freddy Van Oystaeyen, “A Deformation of Projective Schemes”, in Freddy Van Oystaeyen, editor, Commutative Algebra and Algebraic Geometry, Marcel Dekker, page 295",
          "text": "There is another approach dealing with more ring theoretical objects, i.e. starting from a nice class of algebras, called schematic algebras, it is possible to define a space, a Zariski topology, points, lines etc..., cf. [VOW1], [AZ], [ATV]. then it becomes possible to develop a scheme theory, completely extending the theory of schemes in classical algebraic geometry.",
          "type": "quotation"
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          "ref": "2004, Haruzo Hida, p-Adic Automorphic Forms on Shimura Varieties, Springer, page 68",
          "text": "The main point of scheme theory is to consider C as a covariant functor R#x5C;mapstoC(R) from the category #x5C;textit#x7B;B-ALG#x7D; (also written as #x5C;textit#x7B;ALG#x7D;#x5F;#x7B;#x2F;#x5C;mathfrak#x7B;B) of 𝔅-algebras into the category textit SETS of sets.}}",
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        "The branch of mathematics that concerns schemes (locally ringed spaces admitting coverings by open sets, each isomorphic to the spectrum of some commutative ring)."
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          "algebraic geometry"
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          "mathematics",
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          "scheme",
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          "locally ringed space",
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          "spectrum",
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          "commutative ring",
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        "(algebraic geometry) The branch of mathematics that concerns schemes (locally ringed spaces admitting coverings by open sets, each isomorphic to the spectrum of some commutative ring)."
      ],
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        "uncountable"
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          "text": "With these ideas of scheme theory, perturbation, and abstraction, it becomes possible to see how metacognition might be interpreted in constructivist terms.",
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        }
      ],
      "glosses": [
        "A theory of group decision-making which explains group decisions as the result of a decision scheme on the initial distribution of attitudes in the group."
      ],
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          "psychology",
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        "(psychology) A theory of group decision-making which explains group decisions as the result of a decision scheme on the initial distribution of attitudes in the group."
      ],
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