London Mathematical Society Student Texts
Cambridge University Press, 1999,
ISBN 0-521-64340-6
Cambridge University Press,
Edinburgh Building,
Shaftesbury Road,
Cambridge CB2 2RU
From the preface to the supplement:
The text grew out of the first-year graduate course that I have taught at Northern Illinois University. In keeping with the noncommutative focus of the text, I included a chapter on group representations in place of the chapter on commutative rings that is in our course syllabus. Since a course at that level should lay some foundation for later work in commutative algebra, I felt that I should make my class notes available as a supplement to the text.
At this point, the supplement is approximately 30 pages long and includes the following sections.
Chapter 5: Commutative rings
I have labeled it a preliminary version,
because the notes refer to other sources for
the proofs of the Hilbert nullstellensatz
and the principal ideal theorem, among others.
I also intend to add further problems.
Please check back for a revised version.
The supplementary lecture notes are available to interested readers, in postscript or .pdf (Acrobat Reader) format.