Abstract:
In 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.
A. Satyanarayana, J. Venkateswara Rao and U. Suryakumar, 2011. Prime and Maximal Ideals of Pre A*-Algebra. Trends in Applied Sciences Research, 6: 108-120.
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