On intervals and isometries of MV-algebras

Abstract

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.