Regularity and Integrality

Related lectures (32)

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

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.

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

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.

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

Covers the concept of locally Noetherian schemes in algebraic geometry.

Explores the properties of commutative rings and integral domains in algebra.

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.