English

Co-Stone residuated lattices

Logic 2013-11-14 v1 Commutative Algebra

Abstract

In this paper we present some applications of the reticulation of a residuated lattice, in the form of a transfer of properties between the category of bounded distributive lattices and that of residuated lattices through the reticulation functor. The results we are presenting are related to co-Stone algebras; among other applications, we transfer a known characterization of m-co-Stone bounded distributive lattices to residuated lattices and we prove that the reticulation functor for residuated lattices preserves the strongly co-Stone hull.

Cite

@article{arxiv.1001.0329,
  title  = {Co-Stone residuated lattices},
  author = {Claudia Mureşan},
  journal= {arXiv preprint arXiv:1001.0329},
  year   = {2013}
}

Comments

33 pages

R2 v1 2026-06-21T14:30:17.290Z