Dense Elements and Classes of Residuated Lattices

Details Dense Elements and Classes of Residuated Lattices Dense Elements and Classes of Residuated Lattices

2009-01-12

arxiv.org/abs/0901.1630v1

Mathematics

Logic

16 pages

Scientific paper

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.

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