Lecture

Field Properties: Irreducibility and Units

In course

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Description

This lecture discusses the properties of fields, focusing on irreducibility and units. It covers the definition of a field, prime elements, Euclidean domains, irreducible elements, maximal ideals, and the relationship between fields and maximal ideals. The lecture also explores the concept of irreducibility in polynomials and the conditions for a polynomial to be considered irreducible.

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Instructor

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Official source

https://mediaspace.epfl.ch/media/0_1qa6lgia

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Analysis: Numerical analysis

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