Trends in Applied Sciences Research1819-35792151-7908Science International10.3923/tasr.2011.108.120SatyanarayanaA. RaoJ. VenkateswaraSuryakumarU. 2201162In this study we formulate the definitions of an ideal, prime ideal, maximal ideal of Pre A*-algebra A and discuss certain examples. We prove important fundamental properties of Ideals. In particular we extend to prove that every ideal I of a Pre A*-algebra A is the intersection of all prime ideals of A containing I. We also show that every maximal ideal is necessarily prime, while the converse is true for special cases only.]]>Birkhoff, G.,1948Guzman, F. and C.C. Squier,19902788110Jocobson, N.,1994Vol. 1,Koteswara Rao, P.,19941994Koteswara Rao, P. and J. Venkateswara Rao, 2003203338Koteswara Rao, P. and J. Venkateswara Rao,20042810991119Koteswara Rao, P. and J. Venkateswara Rao,20052005Koteswara Rao, P. and J. Venkateswara Rao,20082103108Manes, E.G.,19891989Manes, E.G.,199330373394Rao, J.V.,20002000Venkateswara Rao, J. and K. Srinivasa Rao,200927380Venkateswara Rao, J., K. Srinivasa Rao, T. Nageswara Rao and R.V.N. Srinivasa Rao,200911419