When is $\operatorname{gr}_I (R)$ (I mean associated graded ring of $I$) finite? When is $\operatorname{gr}_I (M)$ finite? if
1) $R$ is non-Noetherian ring ,
2) $R$ is Noetherian ring and $M$ is not finite $R$-module ,
3) $R$ is Noetherian ring and $M$ finite $R$-module,
2026-03-26 09:40:11.1774518011
When is $\operatorname{gr}_I (M)$ finite?
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