Prof. Jaesuk Park taught a math course on BV algebra at Yonsei University. I attached his lecture note here. He also did some research on how one can relate BV algebra and String Theory. In the section 2 of his paper, Topological open p-branes (hep-th/0012141) he wrote a nice introduction to this. I should dilligently study his lecture note and the section 2 of his paper.