A structure theorem for completely regular semigroups

Petrich, Mario

doi:10.1090/S0002-9939-1987-0877027-2

A structure theorem for completely regular semigroups
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Proc. Amer. Math. Soc. 99 (1987), 617-622 Request permission

Abstract:

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.

References

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