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Completely simple congruences on Croisot-Teissier semigroups. (English) Zbl 0297.20068


MSC:

20M10 General structure theory for semigroups
20M20 Semigroups of transformations, relations, partitions, etc.

References:

[1] Clifford, A.H., and G.B. Preston,The Algebraic Theory of Semigroups, A.M.S. Surveys 7, vols.I and II, 1961, 1967.
[2] Kapp, Kenneth M., and Hans Schneider,Completely O-Simple Semigroups, W.S. Benjamin, New York, 1969.
[3] Mielke, B.W.,Regular congruences on Croisot-Teissier and Baer-Levi semigroups, J. Math. Soc. Japan, 24 (1972), 539–551. · Zbl 0232.20115 · doi:10.2969/jmsj/02440539
[4] Mielke, B.W.,Regular congruences on a simple semigroup with a minimal right ideal, Publ. Math. Debrecen 20 (1973), 79–84. · Zbl 0282.20049
[5] Teissier, Marianne,Sur les demigroupes le contenant pas d’élémenet idempotent, C.R. Acad. Sci. Paris 237 (1953), 1375–1377. · Zbl 0051.25501
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