Length of $\mathfrak{m}$-torsion module - MathOverflow most recent 30 from http://mathoverflow.net2013-05-25T22:17:17Zhttp://mathoverflow.net/feeds/question/94224http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/94224/length-of-mathfrakm-torsion-moduleLength of $\mathfrak{m}$-torsion moduleminhtringuyen2012-04-16T15:44:58Z2012-04-16T15:44:58Z
<p>Let $(R,\mathfrak{m})$ be a commutative Noetherian local ring and $M$ is an $R$-module such that $\mathfrak{m}^tM=0$ for some non-negative integer $t$. Then the length of $M$ is finite.</p>
<p>Is that right?</p>