Things are looking up between Alex Rodriguez and Jennifer Lopez ... at least that's how A-Rod seems to view their relationship, now that they're in the same place.
TMZ has confirmed A-Rod flew to the Dominican Republic, where J Lo has been shooting a movie, and Monday morning he posted video from their luxury digs down there. His caption said, "Happy Monday. New week,. New day. Onward. Upward."
BTW, he also tagged J Lo tag in his post.
Remember, A-Rod told a photog Saturday in Miami he is definitely NOT single.