In this paper, we shall give answers to show that two open problems, which is proposed by Turunen et al. in (Erratum to:) n-Fold implicative basic logic is Gödel logic [Soft Computing16(2012): 177–181,183]. That is, each n-fold positive implicative filter is an n-fold Boolean filter and in an n-fold fantastic BL-algebra, n-fold implicative basic logic and n-fold positive implicative basic logic coincide.
