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MATH607

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Algebra III

Mathematics and Statistics SC - Faculty of Science

Subject

MATH - Mathematics

Description

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.

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.

Course Attributes

Fee Rate Group(Domestic) - A, Fee Rate Group(International) -B, GFC Hours (3-0)

Courses may consist of a Lecture, Lab, Tutorial, and/or Seminar. Students will be required to register in each component that is required for the course as indicated in the schedule of classes. Practicums, internships or other experiential learning modalities are typically indicated as a Lab component.

Component

LEC

Units

3

Repeat for Credit

No

Subject code

MATH
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