MATH 5045
Advanced Algebra I
Lec 01 selected
Introduction to module theory: modules, submodules, quotient modules, module homomorphisms, generators for modules, direct sums, free modules, tensor products, exact sequences, projective modules, injective modules and flat modules. Modules over principal ideal domains. Additional topics may include homological algebra, Ext and Tor functors, symmetric and exterior algebras.
Sections
Lecture
Lec 01
Tue, Thu 13:05-14:25
From the syllabus
From the Fall 2023 syllabus by Sara Faridi. Fall 2026 is taught by Ross J., so details may differ. Open the PDF
Grading
25%Midterm examOctober 25, in class
50%Final examDate to be determined
25%AssignmentsWeekly or biweekly; lowest two grades dropped
Textbook
- Abstract Algebra, third edition, Dummit and Foote
Course rules
- Late work
- Late homework receives zero, but the two lowest homework grades are dropped at term end.
- Missed exam
- A missed exam receives zero unless you provide a doctor's note or make prior arrangements with the instructor.
- Exam materials
- Calculators, textbooks, online searches, and notes are not allowed during exams.
- Homework
- Homework must be original work, and all sources used must be cited.
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