Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia,
e-mail: kstefan@saske.sk
Abstract: For a pseudo $MV$-algebra $\Cal A$ we denote by $\ell(\Cal A)$ the underlying lattice of $\Cal A$. In the present paper we investigate the algebraic properties of maximal convex chains in $\ell(\Cal A)$ containing the element 0. We generalize a result of Dvurecenskij and Pulmannova.
Keywords: pseudo $MV$-algebra, convex chain, Archimedean property, direct product decomposition
Classification (MSC 2000): 06D35
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