Yazd University Algebraic Structures and Their Applications 2382-9761 5 1 2018 02 01 Boolean center of lattice ordered $EQ$-algebras with bottom element 51 68 1210 10.22034/as.2018.1210 EN Neda Mohtashamnia Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran. Lida Torkzadeh Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran. Journal Article 2017 12 24 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 $E$.  https://as.yazd.ac.ir/article_1210_746371f11fda39097a765404e37a9111.pdf