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Title: Prime ideals and maximal ideals in semigroups (English)
Author: Schwarz, Štefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 19
Issue: 1
Year: 1969
Pages: 72-79
Summary lang: English
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Category: math
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MSC: 20.92
idZBL: Zbl 0176.29503
idMR: MR0237680
DOI: 10.21136/CMJ.1969.100877
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Date available: 2008-06-09T13:40:21Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100877
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Reference: [1] W. M. Faucett R. J. Koch, K. Numakura: Complements of maximal ideals in compact semigroups.Duke Math. J. 22 (1955), 655-661. MR 0072425, 10.1215/S0012-7094-55-02270-5
Reference: [2] L. Lesieur R. Croisot: Algèbre noethérienne non commutative.Mémorial des Sciences Mathématiques, Paris, 1963. MR 0155861
Reference: [3] Jiang Luh: On the concept of radical of semigroups having kernel.Portugaliae Mathematica 19 (1960), 189-198. MR 0131482
Reference: [4] R. J. Koch, A. D. Wallace: Maximal ideals in compact semigroups.Duke Math. J. 21 (1954), 681-685. Zbl 0057.01502, MR 0063381, 10.1215/S0012-7094-54-02170-5
Reference: [5] K. Numakura: Prime ideals and idempotents in compact semigroups.Duke Math. J. 24 (1957), 671-680. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4
Reference: [6] Št. Schwarz: О maksimal'nych idealach v teorii polugrupp I, II.Czechoslovak Math. J. 3 (78) (1953), 139-153, 365-383.
Reference: [7] Št. Schwarz: Maximálne ideály a štruktúra pologrúp.Mat. fyz. časopis SAV 3 (1953), 17-39. MR 0064784
Reference: [8] Št. Schwarz: Subsemigroups of simple semigroups.Czechoslovak Math. J. 13 (88) (1963), 226-239. Zbl 0122.02402, MR 0158014
Reference: [9] О. Zariski P. Samuel: Commutative algebra, vol. I.Princeton, 1958.
Reference: [10] R. Šulka: О nil'potentnych elementach, idealach i radikalach polugruppy.Mat. fyz. časopis SAV 13 (1963), 209-222.
Reference: [11] R. Fulp: Generalized semigroup kernels.Pacific J. Math. 24 (1968), 93 - 101. Zbl 0165.03501, MR 0222195, 10.2140/pjm.1968.24.93
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