Rings and Fields: Principal Ideals and Ring Homomorphisms

Related lectures (32)

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

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

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

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

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

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

Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.

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

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.