Ideal (ring theory)

Related lectures (32)

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

Covers the concept of prime ideals and local rings, emphasizing their importance.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

Covers the relations between the ideal class group and proper fractional ideals.

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

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

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Explores factorisation in Principal Ideal Domains and the properties of prime numbers.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.