%0 Journal Article
%T Partial Orders Fascinating on Pre A*-Algebra
%A A. Satyanarayana
%A J. Venkateswara Rao
%A V. Ramabrahmam
%A P. Nirmala Kumari
%J Asian Journal of Mathematics & Statistics
%D 2013
%I Asian Network for Scientific Information
%X This study characterizes the distinct partial orders ¡Ü* and ¡Ü? taking place on a Pre A*-algebra A. As a consequence achieve a result that x¡Ü*y if and only if y~¡Ü?x~ . The Hasse diagrams are sketched for certain Pre A*-algebras with respect to =* as well as ¡Ü?. Further derived equivalent conditions for a Pre A*-algebra A to be a Boolean algebra or a trivial Pre A*-algebra in terms of the partial orders ¡Ü* and ¡Ü?.
%K Boolean algebra
%K center
%K semilattice
%K poset
%K Pre A*-algebra
%U http://docsdrive.com/pdfs/ansinet/ajms/2013/23-32.pdf