Completely Regular Semigroups
A semigroup S is completely regular if and only if it is a disjoint union of groups. This concept, so simple in its formulation, has intrigued investigators for over forty years. In the early days, the underlying proposition was that the theory of such objects must necessarily be readily derivable from that for groups. The early work of Rees and Clifford gave some support to this notion. However, the work of recent years, especially that on varieties, has shown that the study of completely regular semigroups requires its own ingenious arsenal of tools.
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- F. Pastijn, The lattice of completely regular semigroup varieties, preprint.Google Scholar
- M. Petrich, Congruences on completely regular semigroups, preprint.Google Scholar
- P.G. Trotter, Subdirect decompositions of the lattice of varieties of completely regular semigroups (to appear).Google Scholar