Exact functor

Related lectures (31)

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Explores natural transformations between functors in different categories and their applications.

Explores the concept of free abelian groups as an important left adjoint functor.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Explores building categories from graphs and the encoding of information by functors.

Covers exact sequences in homological algebra and the properties of Hom functors.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Covers the construction of long exact sequences of Ext-modules and provides illustrative examples.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.