On lattice-ordered monoids

@article{Jasem2003OnLM,
  title={On lattice-ordered monoids},
  author={Milan Jasem},
  journal={Discussiones Mathematicae General Algebra and Applications},
  year={2003},
  volume={23},
  pages={101-114}
}
  • M. Jasem
  • Published 2003
  • Mathematics
  • Discussiones Mathematicae General Algebra and Applications
In the paper lattice-ordered monoids and specially normal latticeordered monoids which are a generalization of dually residuated latticeordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a 2 A and na ‚ 0 for some positive integer n imply a ‚ 0. A necessary and su‐cient condition is found for a lattice-ordered monoid A, such that the set I of all invertible elements of… 

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