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Title: Maximal ideals in the direct product of two semigroups (English)
Author: Plemmons, Robert J.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 17
Issue: 2
Year: 1967
Pages: 257-260
Summary lang: Russian
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Category: math
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MSC: 20.92
idZBL: Zbl 0189.02001
idMR: MR0214681
DOI: 10.21136/CMJ.1967.100774
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Date available: 2008-06-09T13:32:55Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100774
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Reference: [1] A. H. Clifford, G. P. Preston: The Algebraic Theory of Semigroups, Vol. 1.Math. Surveys 7, Amer. Math. Soc., Providence, R. I., 1961.
Reference: [2] I. Fabrici: Completely maximal elements in semigroups.Mat.-fyz. časopis, Slovensk. akad. vied, 13 (1963), 16-19. MR 0155915
Reference: [3] J. Ivan: On the direct product of semigroups.Mat.-fyz. časopis, Slovensk. akad. vied, 3 (1953), 57-66. MR 0062733
Reference: [4] J. Ivan: Simplicity and minimal ideals of a direct product of semigroups.Mat.-Fyz. Časopis, Slovensk. akad. vied, 13 (1963), 114-124. MR 0159894
Reference: [5] M. Petrich: Prime ideals in the cartesian product of two semigroups.Czechoslovak Mathematical Journal, 12 (87) (1962), 150-152. MR 0140597
Reference: [6] M. Petrich: Semicharacters of the cartesian product of two semigroups.Pacific Journal of Mathematics, 12 (1962), 679-683. Zbl 0118.03101, MR 0143825, 10.2140/pjm.1962.12.679
Reference: [7] M. Petrich: Ideaux demi-premiers et Premiers du product cartesian d'un nombre fini de demigroups.C. R. Acad. Sc., 256 (1963), 3940-3943. MR 0148774
Reference: [8] Š. Schwarz: On maximal ideals in the theory of semigroups II.Czechoslovak Mat. J., 3 (78), (1953), 365-383. MR 0061592
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