Completely Semisimple Semigroup Congrucences on a Regular Biordered Set

Xiaoling Li · 2006

The completely semisimple congruences on a regular biordered set are investigated,some equivalent characterization of completely semisimple congruences are obtained.Let≤ be the natural partial order on a regular semigroup.We prove that is the least completely semisimple semigroup congruence on a regular biordered set.

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