Dense Elements and Classes of Residuated Lattices

作者：Muresan Claudia^*

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2010, 53(1): 11-24.

• Residuated lattices
• maximal filters
• dense elements
• lifting Boolean center

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 the equation ((sic)a -> (sic)b) -> (sic)b = ((sic)b -> (sic)a) -> (sic)a have lifting Boolean center.

• 出版日期2010