English

Dense Elements and Classes of Residuated Lattices

Logic 2015-02-03 v1

Abstract

In this paper we study the dense elements and the radical of a residuated lattice, residuated lattices with lifting Boolean center, simple, local, semilocal and quasi-local residuated lattices. BL-algebras have lifting Boolean center; moreover, Glivenko residuated lattices which fulfill a certain equation (that is satisfied by BL-algebras) have lifting Boolean center.

Keywords

Cite

@article{arxiv.0901.1630,
  title  = {Dense Elements and Classes of Residuated Lattices},
  author = {Claudia Mureşan},
  journal= {arXiv preprint arXiv:0901.1630},
  year   = {2015}
}

Comments

16 pages

R2 v1 2026-06-21T11:59:54.901Z