MATH8203

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MATH 8203 - Category Theory and Homological Algebra (3 Cr.)

School of Mathematics (11133) TIOT - College of Science and Engineering

Course description

Category theory including categories, functors, natural transformations, equivalences of categories, representable functors and universal properties, Yoneda Lemma, adjunctions, limits and colimits. Homological algebra including chain complexes and homology, Abelian categories and additive and exact functors, short exact sequences, injective, projective, flat and free modules and corresponding resolutions, derived functors, derived and homotopy categories.

Minimum credits

3

Maximum credits

3

Is this course repeatable?

No

Grading basis

A-F - A-F Grade Basis

Lecture

Requirements

000810

Fulfills the writing intensive requirement?

No

Typically offered term(s)

Every Fall