An Invitation to General Algebra and Universal Constructions

George M. Bergman

551 pp.

Here is the PDF file for the notes from which Berkeley's Math 245A, "General Theory of Algebraic Structures", is taught. (In looking at this, you might occasionally catch it at a moment when it is being revised, and something has gone wrong. If that happens, look at the next-to-last version.) A published version will appear soon as a Springer Universitext.

If you have any corrections or comments, you can e-mail me:  .

I maintain lists of answers to some questions submitted by students over the course of the semester.  Here is the list from Spring 2014, and here is a similar list from Spring 2008 and Fall 2011. The pagination has changed from year to year as I revise the material. When I have some time, I hope to fuse these files, and give page-references matching the published version.