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Lecture

Irreducible Algebraic Sets

In course

MATH-328: Algebraic geometry I - Curves

Algebraic geometry is the common language for many branches of modern research in mathematics. This course gives an introduction to this field by studying algebraic curves and their intersection theory. ...

Description

This lecture covers the concept of irreducible algebraic sets, defining them as subsets of an algebraic set that cannot be split into two proper subsets. The instructor explains the conditions for an algebraic set to be irreducible, provides examples, and discusses prime ideals. The lecture also delves into the unique decomposition of algebraic sets into irreducible components and the classification of irreducible algebraic subsets of the plane.

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Instructor

Dimitri Stelio Wyss

Official source

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

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