A structure theorem for completely regular semigroups

Mario Petrich · Proceedings of the American Mathematical Society · 1987

Structure theorems for arbitrary completely regular semigroups have been given by Yamada, Warne, Petrich, and Clifford. A new structure theorem for these semigroups is proved here. It is reminiscent of both the structure theorem of Clifford-Petrich and of the Rees construction for completely simple semigroups. It simplicity ought to prove useful in the study of various aspects of completely regular semigroups.

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