extandtorforfood                 HOME PAGE OF MATH 321: 

            An Introduction to Homological Algebra

                                                    Spring 2008

                                                                  Sarah Glaz
                                                      (click on link and remove end x)

MSB 202
Phone: (860) 486 9153

Office Hours: T, Th 12:15 - 1:15 and by appointment


T, Th 11:00 - 12:15, MSB 311


Main Textbook:  An Introduction to Homological Algebra, by Joseph Rotman, Academic Press, Inc.
                          (May be ordered new from amazon.com. I recommend ordering a used copy in good condition from amazon.com, alibris.com, abebooks.com, or strandbooks.com)
Other Texts:       An Introduction to Homological Algebra, by  Charles Weibel
                          Commutative Coherent Rings, by Sarah Glaz
                          Commutative Algebra, by Bourbaki
                          Commutative Rings, by Irving Kaplansky


Homological Algebra is a powerful tool used in a number of areas of mathematics to deepen the understanding of the structure of its objects of investigation. In this course we will develop
the fundamental notions of Homological Algebra and their uses in Commutative Algebra, with short detours into other applications. Topics will include: Hom and Tensor Products, and their
relation to Projectivity, Flatness, and Injectivity of modules; the introduction of the Ext and Tor functors, and ways of computing them in some settings; the development of the ring invariants:
global dimension, weak global dimension, and several other homological dimensions, and their uses in describing properties of rings. Other topics may be introduced as time allows. We
anticipate covering portions from Chapters 2, 3, 4, 6, 7, 8, and 9 from the main textbook, supplemented from the other texts mentioned above.


Grading would be based on a homework grade (50%), and a semester project grade (50%). There will be 5 - 7 homework assignments, each comprising of 2 - 4 exercises. Students are
encouraged to discuss the homework assignments with each other, but need to formulate, write, and hand in their own individual solutions. The semester project will be on a topic chosen by
the Instructor in collaboration with each student. Each students will hand in a typed report (5 - 10 pages) and give a class presentation on his/her project. Topics will be assigned a few weeks
into the semester. Reports and presentations will begin after Spring Break.


Spring Break: Sunday, March 9 - Sunday, March 16
Last Day of Classes: Friday, May 2


This page is maintained by Sarah Glaz                   
Last modified: Spring 2008