Lecture

Properties of Euclidean Domains

In course

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Description

This lecture covers the properties of Euclidean domains, including the greatest common divisor, least common multiple, and the Chinese remainder theorem for polynomial rings. It explains when an ideal is maximal in a principal ideal domain (PID) and when a quotient ring of a Euclidean domain becomes a field. The lecture also discusses irreducible elements in polynomial rings and provides examples and proofs related to these concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ne5d5wef

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

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