scheme theory
Word Rarity
Uncommon
Frequency: Zipf frequency 4.40 in modern English
25
Scrabble Score
12
Letters
3
Syllables
9
Unique Chars
Meaning
noun
The branch of mathematics that concerns schemes (locally ringed spaces admitting coverings by open sets, each isomorphic to the spectrum of some commutative ring).
Uncountable
Example Sentences
- "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."
- "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."
- "The main point of scheme theory is to consider C as a covariant functor R#92;mapstoC(R) from the category #92;textit#123;B-ALG#125; (also written as #92;textit#123;ALG#125;#95;#123;#47;#92;mathfrak#123;B"
- "With these ideas of scheme theory, perturbation, and abstraction, it becomes possible to see how metacognition might be interpreted in constructivist terms."