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What part of algebra did Grothendieck add to algebraic geometry's foundation?

  • Commutative Algebra

  • Linear Algebra

  • Abstract Algebra

  • Algebraic Topology

Answer

Commutative Algebra, the answer, serves as a foundation for algebraic geometry. It involves studying rings with a commutative multiplication operation, exploring their structures and properties. Key concepts include ideals, modules, and homomorphisms, enabling mathematicians to describe algebraic structures and geometric objects in a unified framework. This branch plays a vital role in understanding schemes, varieties, and other fundamental notions in algebraic geometry.
Master of Abstract Mathematics: The Extraordinary Life of Alexander Grothendieck

Master of Abstract Mathematics: The Extraordinary Life of Alexander Grothendieck

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