Module Theory: Chain Conditions

In course

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Description

This lecture covers the concept of chain conditions in module theory, focusing on Noetherian modules and ascending sequences of submodules stabilizing. It also discusses isomorphisms, images of submodules, and the formal similarities to linear algebra. The instructor emphasizes the importance of understanding these conditions in the context of module theory.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_1vnd6snx

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Linear algebra

Arithmetic: Topics in arithmetic

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