Algebra with quotient ring.



Hello teacher~

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.

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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.
.



Relevant Pages

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