Lecture

Exact Sequences in Abelian Groups

In course

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Description

This lecture introduces the fundamental notion of an exact sequence of homomorphisms between abelian groups, presenting examples including the exact sequence associated with a direct sum of abelian groups. It also explores a class of more structured exact sequences known as 'split'. The lecture covers the definition of a short exact sequence in abelian groups, the concept of injective sequences, and the conditions for a sequence to be split. Various examples and proofs are provided to illustrate these concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_u9vhn8hl

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

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