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Convex Chains in a Pseudo MV-Algebra
Authors:Ján Jakubík
Institution:(1) Matematický ústav SAV, Grescaronákova 6, 04001 Koscaronice, Slovakia
Abstract:For a pseudo MV-algebra 
$$A$$
we denote by 
$$\ell \left( A \right)$$
the underlying lattice of 
$$A$$
. In the present paper we investigate the algebraic properties of maximal convex chains in 
$$\ell \left( A \right)$$
containing the element 0. We generalize a result of Dvureccaronenskij and Pulmannová.
Keywords:pseudo MV-algebra  convex chain  Archimedean property  direct product decomposition
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