%0 Journal Article %T A cone theoretic Krein-Milman theorem in semitopological cones %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Hassanzadeh, Ali %A Sadeqi, Ildar %D 2018 %\ 01/01/2018 %V 09 %N 1 %P 143-150 %! A cone theoretic Krein-Milman theorem in semitopological cones %K $T_0$ topology %K Extreme Point %K Krein-Milman type theorem %R 10.22130/scma.2018.24756 %X In this paper, a Krein-Milman  type theorem in $T_0$ semitopological cone is proved,  in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq. %U https://scma.maragheh.ac.ir/article_24756_68b4ace761054de875c4f7f9863370f7.pdf