Department of Mathematical Sciences, Northern Illinois University

MATH 720, Fall 2008

M W F 1:00-1:50, DU 268

INSTRUCTOR: Professor John Beachy, Watson 355, 753-6753

OFFICE HOURS: 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: (required) Basic Homological Algebra, by M. Scott Osborne, ISBN 0-387-98934-X

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.

REFERENCES:
    An Introduction to Homological Algebra, by Joseph Rotman
    A History of Homological Algebra, by Charles Weibel (40 page dvi file)   |   local copy

ASSIGNMENTS: Due  

The connecting homomorphism   |   expansion of Osborne's diagram on page 49