most recent 30 from http://mathoverflow.net 2013-05-22T02:49:10Z http://mathoverflow.net/feeds/question/75594 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/75594/modules-where-every-element-is-contained-in-a-linearly-independent-set-of-a-given Joakim Arnlind 2011-09-16T12:43:34Z 2011-09-16T12:43:34Z

<p>Let $R$ be a commutative ring and let $M$ be a $R$-module such that every element $m\in M$ is contained in a set of linearly independent elements of cardinality $n$. How could one characterize such modules? Are there results about when a module is of the above type? In particular, when is it true for finitely generated projective modules of constant rank $\geq n$?</p>