Let $R$ be a Noetherian ring and $M$ an $R$-module. If $Ass(M)$ is a finite set and $x\in R$ is a non-zerodivisor on $M$, what can we say about $Ass(M/xM)$? Is the set $Ass(M/xM)$ still finite?
2026-04-03 14:49:30.1775227770
On the associated prime ideals of quotient module
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