Ideal theory

Related lectures (32)

Page 3 of 4

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

Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.

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

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

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

Covers the completion of a field, focusing on algebraic closure and function convergence.

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

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

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

Covers radical ideals, Nullstellensatz, primary ideals, and algebraic sets.