University of Calgary

MATH 607 - Algebra III - Winter 2018

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)

  • Pure Mathematics 431 or Mathematics 411.

Antirequisite(s)

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

Sections

This course will be offered next in Winter 2019.
Powered by UNITIS. More features.