Hall, TuTh 12:40-2PM
885 Evans Hall
Office telephone: 510 642 0648
Fax number:510 642 8204
Secretary:510 642 5026
You want the
as volume number 211
Texts in Mathematics series.
This book is the classic algebra textbook
for graduate courses. I used an earlier edition when I was
an undergraduate at Brown University
and a graduate student at
You can look at some unofficial
book that was written by
See, for instance, the
to printings past and present.
According to the
Courseweb home page for this course, we should be covering
Tensor algebras and exterior algebras,
with application to linear transformations.
Commutative ideal theory, localization. Elementary specialization and
valuation theory. Related topics in algebra.
We will begin
with a study of linear and multilinear algebra and move on to study tensor
algebras and their quotients. There seems to be a big student interest
in commutative algebra, so that will come next.
In some sense, this course could be seen as a continuation
of the Math 250A course that I taught three
I taught this course once before,
You are welcome to consult the archive
for material from my old course, including the exams.
the course was taught
on Mondays, Wednesdays and Fridays, so the midterms were
Homework will be assigned weekly.
Problems will be graded by
the Graduate Student
Instructor assigned to this course.
John has set up his own
Course Web Page.
Assignment due January 30, 2003:
Chapter XIII, problems 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18.
(This is a long list, but I like the problems. I removed only one or two
of them from my initial list.)
Assignment due February 6, 2003:
- Chapter XIII, problems 25, 26, 27, 28
- Chapter XIV, problems 3, 6, 8, 9, 13, 14, 15, 18, 20, 23
Assignment due February 13, 2003:
Chapter XVI, problems 6, 7, 8, 9, 12.
R=k[x,y] be the
indicated polynomial ring in two variables over a field k. Show that
the maximal ideal (x,y) of R is not flat over R.
Problems due February 20, 2003:
- Chapter XIX, numbers 1, 2, 3, 4
Problems due March 6, 2003:
- Chapter X, numbers 1-8
- Find an example of an ideal I in an integral domain A for which there
is a prime in Ass(A/I) that is not in Ass(A).
Problems due Tuesday, March 18, 2003:
Chapter XVII, Exercises
1, 2, 3,
4, 5, 6, 7,
Problems due Tuesday, April 1, 2003:
Chapter XVII, Exercise 12 (just the first sentence, i.e., the "Prove that...")
- Chapter X, Exercises 9, 10, 11
Problems due Thursday, April 10, 2003:
Chapter VII, Exercises 1, 2, 4, 6, 7, 9, 10
The last homework assignment
is now available as a PDF document. Homework is due Friday,
May 16 at 4PM.
Kenneth A. Ribet
Math Department 3840, Berkeley CA 94720-3840