Algebraic Subsets of A^1

In course

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Description

This lecture covers the concept of algebraic subsets of A^1, focusing on ideals with a finite set of points. The instructor explains how any subset can be represented as V(I) for some ideal I in k[x], where k[x] is a PID. Special cases like V(€) = A and V(f) = {a} are discussed, along with inclusion-reversing correspondences and radical ideals.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_d5sb4fqf

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

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