Boolean Centre of Pre A*-Algebra

This manuscript illustrates the essential congruence θx on a Pre A*-algebra A and arrive at a variety of properties of these. Also it bear out certain properties of the operations Γx(p, q) and Φx. It has been confirmed that θ is a factor congruence on A if and only if θ = θx for some xεB(A). Further it was proved that the centre B (A) of a Pre A*-algebra A with 1 is isomorphic with the Boolean centre B(A) of A.