Direct decompositions of dually residuated lattice-ordered monoids
Jiří Rachůnek ; Dana Šalounová
Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004), p. 63-74 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:287751 
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Jiří Rachůnek; Dana Šalounová. Direct decompositions of dually residuated lattice-ordered monoids. Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004) pp. 63-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1076/

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