Category of rings

Related lectures (32)

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

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores operations on ideals and structure theorems in commutative rings.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Covers the basics of polynomials, focusing on rings, operations, and properties.

Covers modular arithmetic properties, computation examples, and commutative rings.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.

Explores rings, domains, fields, and ideals, with a focus on constructions and properties.