Rings and Ideals

Related lectures (32)

Page 2 of 4

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

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

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

Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.

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

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

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

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

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