I have started the course in commutative algebra. I am facing problem in how to approach this type of questions. How to think of a mapping between these two rings. Help me in this case. here ideal is non-zero.
2026-03-26 08:02:42.1774512162
If $A$ is a noetherian ring and $a$ is an ideal of $A$, then $A$ and $A/a$ are not isomorphic rings.
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