Boolean center of lattice ordered $EQ$-algebras with bottom element

Document Type : Research Paper


Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran.



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 $E$. 


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