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Proper varieties of distributive l-pregroups are periodic

Galatos, Nikolaos et al.
arXiv (All) · Papers
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logicrings-and-algebras
We show that every proper variety of distributive $\ell$-pregroups is periodic; as a result, the subvariety lattice of the variety of distributive $\ell$-pregroups decomposes into a disjoint union of bounded intervals each consisting of all properly $n$-periodic varieties, for different $n \in \math
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