Department of Mathematical Sciences, Northern Illinois University

MATH 620, Fall 2003

10:00-10:50, M W F, Graham Hall 336

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

OFFICE HOURS: MWF 11:00-12:00, or by appointment.

    My faculty homepage   |   My personal homepage

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: Advanced Modern Algebra, by Joseph Rotman

SYLLABUS: Chapter 7, Modules and Categories; Chapter 10, Homology
    Tentative lecture schedule

    An Introduction to Homological Algebra, by Joseph Rotman
    An Introduction to Module Categories (a working copy of my book)
    A History of Homological Algebra, by Charles Weibel (40 page dvi file)   |   local copy


The connecting homomorphism   |   Rotman's diagram on page 823   |   rotated, with the complexes running left to right