MAT 5141 Algebra I: Rings and Modules
3 units
Mathematics
Faculty of Science
Noetherian and artinian modules and rings. Algebraic sets, vanishing ideals, Hilbert Basis Theorem, radical ideals, Hilbert Nullstellensatz. Localization of rings and modules. Tensor product of modules and algebras. Semisimple rings and modules, Schur's lemma, Jacobson Density Theorem, Artin-Wedderburn Theorem. Short exact sequences, free modules, projective modules, injective modules, flat modules. This course is equivalent to MATH 5107 at Carleton University.
Components:
Lecture
Previously Offered Terms:
Fall
French Equivalent:
All Professors
A- Average (8.300)
Most Common: A+ (50%)
30 students
F
D
C
B
A-
A+
Unknown Professors
2 sections from Fall 2019 to Fall 2023
A- Average (7.923)
Most Common: A+ (38%)
13 students
F
D
C
B
A-
A+