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Asian Journal of Mathematics & Statistics
Year: 2012  |  Volume: 5  |  Issue: 4  |  Page No.: 150 - 157

Boolean Centre of Pre A*-Algebra

A. Satyanarayana, J. Venkateswara Rao, U. Suryakumar and P. Nirmala Kumari    

Abstract: 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 (A) of A.

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