Geodesic
Congruences on simple ω-semigroups
Glasgow mathematical journal, Tome 20 (1979) no. 2, pp. 87-101

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An inverse semigroup whose idempotents form an ω-chain e0 > e1 > e2 > ... is called briefly an ω-semigroup. A structure theorem for simple ω-semigroups was established by Kočin [7]; a related structure theorem for simple, and also general, ω-semigroups was proved by Munn [10]. These results represent an extension of the structure theorem for bisimple a ω-semigroups due to Reilly [14]. 
Petrich, Mario. Congruences on simple ω-semigroups. Glasgow mathematical journal, Tome 20 (1979) no. 2, pp. 87-101. doi: 10.1017/S0017089500003785
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