University of Calgary

MATH 607 - Algebra III - Fall 2022

A sophisticated introduction to modules over rings, especially commutative rings with identity. Major topics include: snake lemma; free modules; tensor product; hom-tensor duality; finitely presented modules; invariant factors; free resolutions; and the classification of finitely generated modules over principal ideal domains. Adjoint functors play a large role. The course includes applications to linear algebra, including rational canonical form and Jordan canonical form.
This course may not be repeated for credit.

Hours

  • H(3-0)

Prerequisite(s)

  • Admission to a graduate program in Mathematics and Statistics or consent of the Department.

Antirequisite(s)

  • Credit for Mathematics 607 and any of Pure Mathematics 511, 607 or 611 will not be allowed.

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