Re: Algebra with quotient ring.



mina_world <mina_world@xxxxxxxxxxx> wrote:

A commutative ring A is called a principal ideal ring
if every ideal of A is principal.

Show that a quotient ring of a principal ideal ring
is principal ideal ring.

In fact, I want to know that Z_n is principal ideal ring.
so, If I can show above problem, this is trivial by Z/(nZ).
But... I can't. so, I need your advice.

See my prior post
http://google.com/groups?selm=y8z8yfyyhsn.fsf%40nestle.csail.mit.edu

--Bill Dubuque
.



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