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Shum, K. P.; Stewart, P. N.

Completely prime ideals and idempotents in mobs. (English) Zbl 0339.22002

Czech. Math. J. 26(101), 211-217 (1976).
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Cited in 2 Documents

MSC:

22A15 Structure of topological semigroups
20M10 General structure theory for semigroups
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\textit{K. P. Shum} and \textit{P. N. Stewart}, Czech. Math. J. 26(101), 211--217 (1976; Zbl 0339.22002)
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References:

[1] D. H. Adams: Semigroups with no non-zero nilpotent elements. Math. Z. 123 (1971), 168-176. · Zbl 0212.35803
[2] W. H. Cornish: Subdirectly irreducible semirings and semigroups without nonzero nilpotents. Canad. Math. Bull. 16 (1973), 45-47. · Zbl 0271.16021
[3] W. M. Faucett R. J. Koch, K. Numakura: Complements of maximal ideals in compact semigroups. Duke Math. J. 22 (1955), 655-661. · Zbl 0065.25303
[4] R. J. Koch: Remarks on primitive idempotents in compact semigroups with zero. Proc. Amer. Math. Soc. 5 (1954), 828-833. · Zbl 0056.02704
[5] R. J. Koch, A. D. Wallace: Maximal ideals in compact semigroups. Duke Math. J. 21 (1954), 681-685. · Zbl 0057.01502
[6] K. Iséki: On ideals in semirings. Proc. Japan Acad. 34 (1958), 501 - 509. · Zbl 0085.02101
[7] K. Numakura: Prime ideals and idempotents in compact semigroups. Duke Math. J. 24 (1957), 671-680. · Zbl 0218.22004
[8] A. B. Paalman-de Miranda: Topological Semigroups. second edition. Mathematisch Centrum, Amsterdam, 1970. · Zbl 0242.22003
[9] Št. Schwarz: Prime ideals and maximal ideals in semigroups. Czech. Math. J. 19 (1969), 72-79. · Zbl 0176.29503
[10] K. P. Shum, C. S. Hoo: On nilpotent elements of semigroups. Colloquium Math. 25 (1972), 211-224. · Zbl 0235.22005
[11] K. P. Shum: On compressed ideals in topological semigroups. Czech. Math. J. 25 (100), (1975), 261-273. · Zbl 0316.22004
[12] K. P. Shum: On the boundary of algebraic radical of ideals in topological semigroups. Acta Math. Sci. Hung. 25 (1974), 15-19. · Zbl 0276.22008
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