%0 Journal Article %T A note on product topologies in locally convex cones %J Journal of Mahani Mathematical Research %I Shahid Bahonar University of Kerman %Z 2251-7952 %A Motallebi, Mohammad Reza %D 2022 %\ 01/01/2022 %V 11 %N 1 %P 61-67 %! A note on product topologies in locally convex cones %K Products cone topologies %K weak cone-completeness %K barreledness %R 10.22103/jmmrc.2021.18239.1170 %X We consider the locally convex product cone topologies and prove that the product topologyof weakly cone-complete locally convex cones is weakly cone-complete. In particular, we deduce that a product cone topology is barreled whenever its components are weaklycone-complete and carry the countable neighborhood bases. %U https://jmmrc.uk.ac.ir/article_3099_d567e782b799e3603b5085cc8abe30b3.pdf