Concept

Ideal theory

Related lectures (32)

Covers the concept of ideals in polynomial rings and their properties.

Discusses themes of honor and freedom as depicted in Gladiator.

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

Covers selected mathematical topics including numbers, approximations, algebraic structures, limits, and series.

Explores polymer collapse, emphasizing covolume and free energy in the process.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

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

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Covers primary decomposition in Noetherian ideals and unique primary ideals.

Covers algebraic subsets of A^1 and ideals with a finite set of points.

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

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.

Explores operations on ideals and structure theorems in commutative rings.

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

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores Chinese idempotent constructions and their properties, including ideals and product characterization.

Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.

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

Covers the operations and properties of rings, focusing on ideals and quotients.