← Theoretical / proof-based

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In this program

Localization of rings and modules
Spec(R) and Zariski topology (commutative algebra view)
Krull dimension and height of primes
Hilbert's Nullstellensatz
Connections to geometry
Regular sequences
Cohen–Macaulay rings (introduction)

Localization and dimension

Localization of rings and modules

Commutative algebra · Theoretical / proof-based

Topic

Localization of rings and modules

Practice by unit: Localization and dimension

Graduate Commutative Algebra — scope drawn from open commutative algebra notes and typical US graduate commutative algebra syllabi.

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