Abstract
Closure operations on posets have been investigated and applied extensively to lattices of congruences of various algebraic structures. In this paper, we initiate the study of closure operations on MV-algebras and star operations on MV-modules. The connections between closure (star) operations studied here and those of semirings as well as those of lattice-ordered rings are also investigated. We provide several examples of these closure operations and star operations and also study some of their main properties.
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