User lk k - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T13:24:00Z http://mathoverflow.net/feeds/user/9284 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/34629/what-is-the-completion-at-a-family-of-ideals/39028#39028 Answer by LK K for What is the completion at a family of ideals? LK K 2010-09-16T22:17:59Z 2010-09-16T22:17:59Z <p>Here is an idea (which is probably wrong). If I have an ideal $I\subset J$ in a ring $R$ then this induces a map $R/I\rightarrow R/J.$ Thus if we have a collection of ideals and various containments between them (aka some poset) we can take the direct limit of this system.</p> <p>In the case of the $I$-adics, this system is just a linear ordering. </p> <p>Edit: This seems to be exactly a comment made already...</p>