Completions in Subvarieties of BL-Algebras

In the present paper we extend the results of by completely characterizing dual canonical subvarieties of BL-algebras. These are subvarieties of algebras that satisfy the equation x
^k
= x
^k+1
for some integer k ≥ 1. As a corollary we get a full description of subvarieties of BL-algebras that admit completions.