Partial Orders Fascinating on Pre A*-Algebra

This study characterizes the distinct partial orders ≤* and ≤⊕ taking place on a Pre A*-algebra A. As a consequence achieve a result that x≤*y if and only if y~≤⊕x~ . The Hasse diagrams are sketched for certain Pre A*-algebras with respect to =* as well as ≤⊕. 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 ≤* and ≤⊕.