Geodesic
Convex chains in a pseudo MV-algebra
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 113-125

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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.
Classification : 06D35
Keywords: pseudo $MV$-algebra; convex chain; Archimedean property; direct product decomposition 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Convex chains in a pseudo {MV-algebra}},
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     pages = {113--125},
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Jakubík, Ján. Convex chains in a pseudo MV-algebra. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 113-125. http://geodesic.mathdoc.fr/item/CMJ_2003__53_1_a9/