most recent 30 from http://mathoverflow.net 2013-05-19T22:49:11Z http://mathoverflow.net/feeds/user/23424 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/124219/almost-prime-elements-in-perfect-hahn-field Richard 2013-03-11T11:07:29Z 2013-03-11T12:10:24Z

<p>Let $K$ be the field $\mathbb{F_p}^{alg}((\mathbb{Q}))$ (field of Hahn series over $\mathbb{F_p}^{alg}$ and with value group $\mathbb{Q}$).</p> <p>Is there elements $x$ of $K$ which are "almost prime" that is such that if $x=ab$ with $a, b\in K$, then $a=u(x^{1/p^k})^{p^k-n}$ and $b=u^{-1}(x^{1/p^k})^n$ where $u\in K$ ? And if so, how can such elements be recognized ?</p> <p>Thank you to anyone who could help.</p>

http://mathoverflow.net/questions/95870/uniqueness-of-a-limit-of-a-pseudo-convergent-set Richard 2012-05-03T14:49:18Z 2012-12-04T14:53:43Z

<p>Is there an example of valued field in which any pseudo convergent set has a limit and such that this limit is unique?</p>

http://mathoverflow.net/questions/115375/algebraic-maximal-extension-and-algebraic-closure Richard 2012-12-04T08:29:42Z 2012-12-04T12:54:20Z

<p>Let $K$ be a valued field. We say that $K$ is algebraic maximal if any algebraic extension of $K$ has either a bigger value group or a bigger residue field. Under which condition is an algebraic maximal valued field algebraically closed ?</p> <p>Thank you.</p>

http://mathoverflow.net/questions/112545/absolute-galois-group-of-the-field-of-puiseux-series-over-overline-mathbbf/114588#114588 Richard 2012-11-26T22:01:48Z 2012-11-26T22:01:48Z

<p>I'm sorry to add an answer rather han a comment I have lost again the access to my account. @Laurent Berger Thank you very much for your answers !</p>

http://mathoverflow.net/questions/115375/algebraic-maximal-extension-and-algebraic-closure/115393#115393 Richard 2012-12-04T13:31:30Z 2012-12-04T13:31:30Z

Thank you very much !

http://mathoverflow.net/questions/115375/algebraic-maximal-extension-and-algebraic-closure/115385#115385 Richard 2012-12-04T12:14:38Z 2012-12-04T12:14:38Z

Thank you! And if you consider fields whose residue fiels is algebraically closed and whose value group is divisible, when are such fields algebraically closed ?