Lecture Notes

by Klaus Hoechsmann

To read the following pdf-files, you will need Adobe's Acrobat Reader, which you can download for free. The first chapters are from UBC algebra courses of various levels. I had long planned to edit them properly, eliminate overlap and notational glitches, but have finally decided to expose them to the jeering crowd with all their imperfections. Mathematical mistakes may also lurk in them -- if you find one, please let me know.

Algebra I

This is from a Third Year Honours course given in the autumn of 1993. The text for the course was the well-known book by Dummit and Foote, and the present notes are supplementary to it. Apart from standard definitons and lemmas, however, each topic is self-contained.

Algebra II

This is from a Fourth Year Honours course -- cross-listed as a beginning graduate course -- given in the autumns of 1988 and 1994. The first item is essentially the same as the second one of the preceding course (except for the generalization to PID's), and the last two were special to 1988 and 1994, respectively.

Exercises for Algebra II.

These exercises are for the 1994 version of the course. They make no reference to the commutative algebra component of the 1988 version, which -- if my memory serves me right -- was run as a seminar based on the book by Atiyah and Macdonald. The notes above are summaries and comments: the nuts and bolts are found in the book.