Representable dually residuated lattice-ordered monoids
Jan Kühr
Discussiones Mathematicae - General Algebra and Applications, Tome 23 (2003), p. 115-123 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:287614 
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Jan Kühr. Representable dually residuated lattice-ordered monoids. Discussiones Mathematicae - General Algebra and Applications, Tome 23 (2003) pp. 115-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1067/

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