  The aim of the paper is to study epicomplete objects in the category of
$MV$-algebras. A relation between injective $MV$-algebras and epicomplete
$MV$-algebras is found, an equivalence condition for an $MV$-algebra to be
epicomplete is obtained, and it is shown that the class of divisible
$MV$-algebras and the class of epicomplete $MV$-algebras are the same. Finally,
the concept of an epicompletion for $MV$-algebras is introduced, and the
conditions under which an $MV$-algebra has an epicompletion are obtained. As a
result we show that each $MV$-algebra has an epicompletion.
