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Caltech Course Catalog / 2025-2026 Catalog / Courses 2025-26 / Homological Algebra

Ma 128 - Homological Algebra

Ma 128

Homological Algebra

9 units (3-0-6)   |  third term
Prerequisites: Math 120 abc or instructor's permission.

This course introduces standard concepts and techniques in homological algebra. Topics will include Abelian and additive categories; Chain complexes, homotopies and the homotopy category; Derived functors; Yoneda extension and its ring structure; Homological dimension and Koszul complexe; Spectral sequences; Triangulated categories, and the derived category. Not offered 2025-26.

Published Date: Aug. 29, 2025