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Keywords:
pseudo $MV$-algebra; convex chain; Archimedean property; direct product decomposition
pseudo $MV$-algebra; convex chain; Archimedean property; direct product decomposition
Summary:
For a pseudo $MV$-algebra $\mathcal A$ we denote by $\ell (\mathcal A)$ the underlying lattice of $\mathcal A$. In the present paper we investigate the algebraic properties of maximal convex chains in $\ell (\mathcal A)$ containing the element 0. We generalize a result of Dvurečenskij and Pulmannová.
References:
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