most recent 30 from http://mathoverflow.net 2013-05-25T12:29:30Z http://mathoverflow.net/feeds/user/11270 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/48110/i-smoothness-and-regularity xi 2010-12-02T22:24:51Z 2010-12-02T22:24:51Z

<p>I'm reading Matsumura's Commutative ring theory and in chapter 11 he proves that if A is a noetehrian complete local k-algebra (k a field), then if A is m-smooth over k (m the maximal ideal of A), then A is a regular ring. Is it true that m-smoothness implies regularity when A is just a noetherian complete local ring and does not contain any field? thank you.</p>

http://mathoverflow.net/questions/48110/i-smoothness-and-regularity xi 2010-12-04T04:01:21Z 2010-12-04T04:01:21Z

m-smoothness over Z for example, or if A is an R-algebra over R.