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\def\title{Homework 6, March 28}
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\bs  
{\bf Announcement:} I will be out of town on April 6, 16, 18, 20, and 27, in
order to attend a $K$-theory converence, an algebraic geometry conference, and
a thesis defense.  Steve Ullom will take over on April 6 and 27, and Gerald
Janusz will take over on April 16, 18, and 20.

\bs
Read Section IV.3.

These problems are due Wednesday, April 4.

Do p.~317: 2, (3), 6, 8.

Do p.~325: 1.

% Do p.~198: 1, (2), (3), (4), 5, 6, (7), (8), (9), 10, (11), 14.

The exercises in parentheses are to be turned in only if you are uncertain
whether you got the correct answer or whether you could answer it in an oral
exam.

\bs


\bs
The following exam question is to be done independently.
\bs

{\bf Exam Problem 3:}
Let $F$ be a field, and let $R$ be the polynomial ring $F[x,y]$ in the
indeterminates $x$ and $y$.  Show that not every ideal of $R$ is a free
$R$-module.

\bye


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