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Keywords:
$MV$-algebra; duality; interval; autometrization; 2-periodic isometry
$MV$-algebra; duality; interval; autometrization; 2-periodic isometry
Summary:
Let Int $\mathcal A$ be the lattice of all intervals of an $MV$-algebra $\mathcal A$. In the present paper we investigate the relations between direct product decompositions of $\mathcal A$ and (i) the lattice Int $\mathcal A$, or (ii) 2-periodic isometries on $\mathcal A$, respectively.
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