21-715 Algebra II (Commutative Algebra)

Lecturer: Rami Grossberg

__Starting :__ Spring 1998, MWF 3:30 PM

__General: __ Commutative algebra is essentially
the study of commutative rings, it has developed from two sources:
algebraic geometry and algebraic number theory. It provides local tools
for algebraic geometry and algebraic number theory.

__Contents:__ Will present some of the basic facts
of commutative algebra from the geometric point of view. If time
permits, I will discuss the theory of normed fields. Most of the course
will be based on the following (very short) books:

1. M. Atiyah and I.G. Macdonald, **Introduction to
Commutative Algebra**

2. W. Fulton, **Algebraic Curves**

The authors (of both books) claim that the books are based on undergraduate courses. Fulton mentions in the introduction to his book that he taught the contents of his book to graduate students in one week. Our pace will be slower than his!

__Prerequisites__: 21-610 or 21-474.

__More information:__ Contact R. Grossberg WeH
6218 (ext. 8482); Email: Rami@ cmu.edu