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The structure of $\omega$-regular semigroups

1971
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Bulletin of the American Mathematical Society
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1. Finding the complete structure of regular semigroups of a certain class has succeeded only when sufficiently strong conditions on idempotents and/or ideals have been imposed. On the one hand, there is the theorem of Rees [7], giving the structure of completely 0-simple semigroups, and its successive generalizations to primitive regular semigroups [2], and 3-and 3i-regular semigroups [4]. On the other hand, with very different restrictions, Reilly [8] has determined the structure of bisimple

doi:10.1090/s0002-9904-1971-12677-0
fatcat:ieosz3ue3ve5bam4t2ekjxpvma