There is controversy regarding plum pollination, and the answer to your question may not be fully established. There is an excellent article on plums and pollination at
http://www.fruit.usask.ca/articles/plums.pdf .
I have one plum tree that fruits like crazy no matter what. It appears to be an Americana or Nigra; I got more than 1,100 plums from it last year, and that must be some kind of record up here. The other bearing tree, a Salicina Mandshurica, only had about 30. Both were originally bought as rootstocks. The year before, there were no apparent pollinizers (we bagged the other trees around it because we were doing some crosses), but the prolific tree still bore fruit. Maybe apomixis.
Check them out (the red ones are the producers):