Author/Authors :
MOHTASHAMNIA, NEDA Departement of Mathematics - Kerman Branch, Islamic Azad university, Kerman,Iran , TORKZADEH, LIDA Departement of Mathematics - Kerman Branch, Islamic Azad university, Kerman,Iran
Abstract :
In this paper, some new properties of EQ-algebras are investigated. We intro-
duce and study the notion of Boolean center of lattice ordered EQ-algebras with bottom
element. We show that in a good ℓEQ-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.
