Ideals in Commutative Rings

Related lectures (32)

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Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

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

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

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

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

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores the construction of quotient rings and the properties of well-defined operations within rings.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.

Covers ideals, representations, modules, and maximal ideals in associative algebras.