**InternationaleJournals**

**PRE A*-ALGEBRAS ON TOPOLOGICAL
SPACE**

**K.Suguna
Rao¹ and P.Koteswara Rao²**

**¹**Department
of Mathematics, Acharya Nagarjuna
University, Nagarjuna Nagar-522510, A.P,
India. E-mail: sugunaraok@yahoo.com

**²**Department
of Commerce, Acharya Nagarjuna
University, Nagarjuna Nagar-522510, A.P, India.

**Abstract**

In this
paper we introduce a concept of Topological Pre A*- Algebras and prove If a Topological pre A*-Algebra A is T2 Space then it
is a Hausdroff Space.** ** A is
Topological Pre A*-Algebra and I is closed ideal of A then A/I is a Topological
Pre A*-Algebra and Every maximal ideal Q of a Topological Pre A*-Algebra A is
closed.

**Key words: ** Pre
A*-Algebra, Compact, Pre A*-Ideal.

**International
eJournal of Mathematical Sciences, Technology and Humanities**

**Volume** **3**,
**Issue** **3**, **Pages**: ** **1148 - 1152