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Usage Examples English
- How to weaken the commutativity assumption is a subject matter of noncommutative algebraic geometry and, more recently, of derived algebraic geometry. See also: generic matrix ring.
- Grothendieck moved to Lawrence, Kansas at the beginning of 1955, and there he set his old subject aside in order to work in algebraic topology and homological algebra, and increasingly in algebraic geometry.
- Weil made substantial contributions in a number of areas, the most important being his discovery of profound connections between algebraic geometry and number theory.
- Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
- Some branches of mathematics such as algebraic geometry, typically influenced by the French school of Bourbaki, use the term "quasi-compact" for the general notion, and reserve the term "compact" for topological spaces that are both Hausdorff and "quasi-compact".
- Category theory was originally introduced for the need of homological algebra, and widely extended for the need of modern algebraic geometry (scheme theory).
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
Links to this dictionary or to individual translations are very welcome!