%0 Journal Article %T The Subclasses of Characterization on $Pi^*$-Regular Semigroups %A Xiaoqiang LUO %J Progress in Applied Mathematics %D 2013 %I %R 10.3968/j.pam.1925252820130502.643 %X In the paper, we define the equivalence relations on $Pi^*$-regulur semigroups, to show $L^*$, $R^*$, $H^*$, $J^*$-class contains an idempotent with some characterizations. %K $Pi^*$-regular semigroup %K Completely $Pi^*$-regular semigroup %K Subclass %K Idempotent %U http://cscanada.net/index.php/pam/article/view/3355