Category of rings

Related lectures (32)

Page 3 of 4

Covers the operations in rings, ideals, classes, and quotient rings.

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.

Explores G-objects in a concrete category and the framework for group actions.

Explores surface stress detection in multi-layer structures and elastic constants in single-layer structures.

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Covers the concept of ideals in commutative rings and their role in ring homomorphisms.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Covers primary decomposition in commutative rings and its application in prime ideals.