Lecture

Dimension theory of rings

Description

This lecture covers the dimension theory of rings, including the dimension of a topological space, additivity of dimension and height, Krull's Hauptidealsatz, and the dimension of polynomial rings over rings. It also explores the height estimate in terms of the number of generators and the height of general complete intersections. The lecture delves into the dimension of local rings and provides a proof of Theorem 7.4.1.

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Official source

https://mediaspace.epfl.ch/media/0_p26c45ss

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Number theory: Topics in number theory

Logic

Classical logic: First-order logic

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