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On the structure of dual semigroups. (English) Zbl 0232.20116


MSC:

20M12 Ideal theory for semigroups
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References:

[1] A. H. Clifford, G. B. Preston: The algebraic theory of semigroups. Mathematical Surveys, No. 7, Vol. I, 1961 and Vol. II, 1967, Amer. Math. Society, Providence, R. I. · Zbl 0111.03403
[2] E. Hotzel: Halbgruppen mit ausschliesslich Reesschen Linkskongruenzen. Math. Zeitschrift 112 (1969), 300-320. · Zbl 0205.01801 · doi:10.1007/BF01110246
[3] P. A. Grillet: Intersections of maximal ideals in semigroups. Amer. Math. Monthly 76 (1969), 503-509. · Zbl 0191.01603 · doi:10.2307/2316957
[4] K. Numakura: Compact dual semigroups without nilpotent ideals. Duke Math. J. 31 (1964), 555-574. · Zbl 0128.25103 · doi:10.1215/S0012-7094-64-03155-2
[5] Št. Schwarz: On dual semigroups. Czechoslovak Math. J. 10 (1960), 201 - 230. · Zbl 0098.01602
[6] Št. Schwarz: Prime ideals and maximal ideals in semigroups. Czechoslovak Math. J. 19 (1969), 72-79. · Zbl 0176.29503
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