Finite Fields: Construction and Properties

Related lectures (32)

Page 2 of 4

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

Explores operations on ideals and structure theorems in commutative rings.

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

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

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

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

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

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

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

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