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MAT 5141

Algebra I: Rings and Modules

3 units

Fall 2018 · (Topics in) Algebra I

Topics

  • Noetherian and Artinian rings and modules
  • Affine varieties, radical ideals and Hilbert’s Nullstellensatz
  • Integral extensions and localization
  • Tensor products
  • Semisimple rings and the Artin–Wedderburn theorem
  • Exact sequences and functors
  • Projective, injective and flat modules

Readings

  • Abstract Algebra: The Basic Graduate Year
    Robert Ash · Course text
  • MAT5141-Algebra I ↗
    Lecture notes / supplementary course reference
Sources