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Keywords:
$MV$-algebras; product; convex; embedding; direct; decomposition
$MV$-algebras; product; convex; embedding; direct; decomposition
Summary:
In this paper we apply the notion of the product $MV$-algebra in accordance with the definition given by B. Riečan. We investigate the convex embeddability of an $MV$-algebra into a product $MV$-algebra. We found sufficient conditions under which any two direct product decompositions of a product $MV$-algebra have isomorphic refinements.
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