Geodesic
Dually residuated $\ell$-monoids having no non-trivial convex subalgebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 103-108.

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In this note we describe the structure of dually residuated $\ell $-monoids ($\mathit{DR}\ell $-monoids) that have no non-trivial convex subalgebras.
Classification : 03G25, 06F05
Keywords: $\mathit{DR}\ell $-monoid; $\mathit{GPMV}$-algebra; Archimedean property 
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Kühr, Jan. Dually residuated $\ell$-monoids having no non-trivial convex subalgebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 103-108. http://geodesic.mathdoc.fr/item/AUPO_2006__45_1_a9/