University of Calgary

MATH 511 - 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 forms.
This course may not be repeated for credit.

Hours

  • H(3-0)

Prerequisite(s)

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

Antirequisite(s)

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

Sections

Powered by UNITIS. More features.