INSTRUCTOR: Professor John Beachy, Watson 355, 753-6753
OFFICE HOURS: MWF 11:00-12:00, or by appointment.
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COURSE DESCRIPTION: Homological Algebra (3). Categories and functors, projective and injective modules, complexes and homology, Ext, Tor, and dimensions. Applications to cohomology of groups and ring theory.
TEXT: Basic Homological Algebra, by M. Scott Osborne
SYLLABUS: Chapter 1, Categories; Chapter 2, Modules; Chapter 3, Ext and Tor; Chapter 4, Dimension Theory (Sections 1,2); and possibly parts of Chapter 6, Derived Functors.
An Introduction to Homological Algebra, by Joseph Rotman
A History of Homological Algebra, by Charles Weibel (40 page dvi file) | local copy
ASSIGNMENTS: Due 9/15
The connecting homomorphism | expansion of Osborne's diagram on page 49