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The Subclasses of Characterization on $Pi^*$-Regular SemigroupsDOI: 10.3968/j.pam.1925252820130502.643 Keywords: $Pi^*$-regular semigroup , Completely $Pi^*$-regular semigroup , Subclass , Idempotent Abstract: 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.
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