Algae question

[hotrodprincess]

I am very new to aquariums I have tree types of moss in our tank. I noticed this week that there was a few pieces of verry fine strings hanging from some of the moss. I am talking thinner than sewing thread. I think it is green I couldn't get a picture of it because its so fine. Its a low tec 10 gal tank only has a betta in it right now. The light is just a basic florescent light nothing fancy. Its on from about 9 in the morning tell about 5 ish at night when the kids feed the fish. I have removed the strings as I have found them they pull off easily. What can i do to deter them from getting worse. Would shrimp or something help ? I would hate to see if over take our tank our moss is starting to grow good.