Rings and Fields: Principal Ideals and Ring Homomorphisms

Related lectures (32)

Page 3 of 4

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

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

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

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

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

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Covers the Chinese remainder theorem, polynomial rings, and Euclidean domains among other topics.

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

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

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