Local Rings and Minimal Primes

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

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

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

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

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