University of Calgary

MATH 511 - Algebra III - Fall 2019

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 forms.
This course may not be repeated for credit.


  • H(3-0)


  • Mathematics 313, 361 or 411; Mathematics 431 or Pure Mathematics 431; 3 units of Mathematics in the Field of Mathematics at the 400 level or higher.


  • Credit for Mathematics 511 and either 607 or Pure Mathematics 611 will not be allowed. Also known as: (formerly Pure Mathematics 511)


This course will be offered next in Fall 2020.
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