Primary Decomposition in Commutative Rings

Related lectures (32)

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

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

Covers primary decomposition in Noetherian ideals and unique primary ideals.

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

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

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

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

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

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

Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.