MATH 215A

Commutative Algebra

Mathematics · 4 units · Graduate courses (200-299)

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Topics from commutative ring theory, including techniques of localization, prime ideal structure in commutative Noetherian rings, principal ideal theorem, Dedekind rings, modules, projective modules, Serre conjecture, regular local rings.

Requisites

Official UCLA wording
Prerequisite: course 210A or consent of instructor.

BruinTree reads · Prerequisite

confidence 0.80 · from text

one of

MATH 210A
consent of instructor

Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 215A

MATH 210AAlgebra
- MATH 110AAlgebra
  - MATH 115ALinear Algebra1 more beneath
- MATH 110BAlgebra
  - MATH 110AAlgebraanother path to it
  - MATH 117Algebra for Applications
- MATH 110CAlgebra

1 direct requisite. Showing 9 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.

Unlocks

What this course is a requisite for, and what those courses lead to in turn.

MATH 215A

MATH 214AIntroduction to Algebraic Geometry
- MATH 214BIntroduction to Algebraic Geometry

1 course lists this as a requisite. The whole downstream is here — 2 courses over 2 levels. Every course here opens its own tree.