Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2012.150.157SatyanarayanaA.RaoJ. VenkateswaraSuryakumarU.KumariP. Nirmala4201254This manuscript illustrates the essential congruence θ_{x} on
a Pre A*-algebra A and arrive at a variety of properties of these. Also it bear
out certain properties of the operations Γ_{x}(p, q) and Φ_{x}.
It has been confirmed that θ is a factor congruence on A if and only if
θ = θ_{x} 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
(A) of A.]]>Guzman, F. and C.C. Squier,1990Koteswara Rao, P.,1994Manes, E.G.,1989Manes, E.G.,1993Rao, J.V.,2000Venkateswara Rao, J. and K. Srinivasa Rao,2009Satyanarayana, A., J. Venkateswara Rao, K. Srinivasa Rao and U.S. Kumar,2010Srinivasa Rao, K.,2009