Let $R$ be a commutative ring and $m$ be a maximal ideal ; consider the local ring $R_m$ got from localizing $R$ at $m$ ; then $mR_m$ is its unique maximal ideal . Then is it true that $m/m^2 \cong mR_m/m^2R_m$ ? If this is not true in general ; is it true atleast when $R$ is a Noetherian UFD ?
2026-03-28 12:14:33.1774700073
On simplifying $mR_m/m^2R_m$ where $m$ is maximal ideal of $R$
106 Views Asked by user456828 https://math.techqa.club/user/user456828/detail AtRelated Questions in COMMUTATIVE-ALGEBRA
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