Geodesic
Direct decompositions of dually residuated lattice-ordered monoids
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 63-74.

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The class of dually residuated lattice ordered monoids (DRl-monoids) contains, in an appropriate signature, all l-groups, Brouwerian algebras, MV- and GMV-algebras, BL- and pseudo BL-algebras, etc. In the paper we study direct products and decompositions of DRl-monoids in general and we characterize ideals of DRl-monoids which are direct factors. The results are then applicable to all above mentioned special classes of DRl-monoids.
Keywords: DRl-monoid, lattice-ordered monoid, ideal, normal ideal, polar, direct factor 
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Rachůnek, Jiří; Šalounová, Dana. Direct decompositions of dually residuated lattice-ordered monoids. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 63-74. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a4/

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