Boolean center of lattice ordered EQ-algebras with bottom element

In this paper, some new properties of EQ-algebras are investigated. We introduce and study the notion of Boolean center of lattice ordered EQ-algebras with bottom element. We show that in a good \ell EQ-algebra E with bottom element the complement of an element is unique. Furthermore, Boolean elements of a good bounded lattice EQ-algebra are characterized. Finally, we obtain conditions under which Boolean center of an EQ-algebra E is the subalgebra of E. 

کلیدواژه ها:

EQ-algebra ، blEQ-algebra ، Boolean element