Geodesic
Higher degrees of distributivity in $MV$-algebras
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 641-653

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In this paper we deal with the of an $MV$-algebra $\mathcal A$, where $\alpha $ and $\beta $ are nonzero cardinals. It is proved that if $\mathcal A$ is singular and $(\alpha,2)$-distributive, then it is . We show that if $\mathcal A$ is complete then it can be represented as a direct product of $MV$-algebras which are homogeneous with respect to higher degrees of distributivity.
Classification : 06D10, 06D35, 06F20
Keywords: $MV$-algebra; archimedean $MV$-algebra; completeness; singular $MV$-algebra; higher degrees of distributivity 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Higher degrees of distributivity in $MV$-algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {641--653},
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     volume = {53},
     number = {3},
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     zbl = {1080.06014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a12/}
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Jakubík, Ján. Higher degrees of distributivity in $MV$-algebras. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 641-653. http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a12/