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ArticleOriginal scientific text

Title

Direct decompositions of dually residuated lattice-ordered monoids

Authors 1, 2

Affiliations

  1. Department of Algebra and Geometry, Faculty of Sciences, Palacký University, Tomkova 40, 779 00 Olomouc, Czech Republic
  2. Department of Mathematical Methods in Economy, Faculty of Economics, VŠB-Technical University of Ostrava, Sokolská 33, 701 21 Ostrava, Czech Republic

Abstract

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

ENG
DRl-monoid, lattice-ordered monoid, ideal, normal ideal, polar, direct factor

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Discussiones Mathematicae - General Algebra and Applications
2004/24/1
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Pages:
63-74
Main language of publication
English
Received
2003-09-16
Published
2004

DOI: 10.7151/dmgaa.1076

Exact and natural sciences