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MATH 470

Abstract Algebra II

3 credits · Undergraduate

Winter 2025

Topics

  • Rings, fields, ring maps and ideals
  • Prime and maximal ideals
  • Euclidean domains and unique factorization
  • Noetherian rings, polynomial rings and dimension
  • Modules, vector spaces, generators and bases
  • Ring algebras

Readings

  • Primary text (requirement not stated): David S. Dummit and Richard M. Foote. Abstract Algebra.
    Listed reading
  • Secondary text (requirement not stated): M. F. Atiyah and I. G. Macdonald. Introduction to Commutative Algebra.
    Listed reading
Winter 2023 · MATH 470

Readings

  • Abstract Algebra, by David S. Dummit and Richard M. Foote.
    Listed reading; requirement unspecified
Winter 2022 · MATH 470

Readings

  • Abstract Algebra, by David S. Dummit and Richard M. Foote.
    Listed reading; requirement unspecified
Sources