Geodesic
Representable dually residuated lattice-ordered monoids
Discussiones Mathematicae. General Algebra and Applications, Tome 23 (2003) no. 2, pp. 115-123

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Dually residuated lattice-ordered monoids (DRl-monoids) generalize lattice-ordered groups and include also some algebras related to fuzzy logic (e.g. GMV-algebras and pseudo BL-algebras). In the paper, we give some necessary and sufficient conditions for a DRl-monoid to be representable (i.e. a subdirect product of totally ordered DRl-monoids) and we prove that the class of representable DRl-monoids is a variety.
Keywords: DRl-monoid, ideal, prime ideal, polar, normal ideal, representable DRl-monoid 
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Kühr, Jan. Representable dually residuated lattice-ordered monoids. Discussiones Mathematicae. General Algebra and Applications, Tome 23 (2003) no. 2, pp. 115-123. http://geodesic.mathdoc.fr/item/DMGAA_2003_23_2_a2/