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Title: The Maximal Semilattice Decomposition of a Semigroup, Radicals and Nilpotency (English)
Author: Šulka, Robert
Language: English
Journal: Matematický časopis
ISSN: 0025-5173
Volume: 20
Issue: 3
Year: 1970
Pages: 172-180
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Category: math
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MSC: 20M10
idZBL: Zbl 0249.20031
idMR: MR0311821
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Date available: 2009-09-25T08:08:10Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/127082
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Reference: [2] Clifford A. H.: Semigroups without nilpotent ideals.Amer. J. Math. 71 (1949). Zbl 0045.30101, MR 0032661
Reference: [3] Clifford A. H., Preston G. B.: The algebraic theory of semigroups, I.Providence 1961.
Reference: [4] Green J. A.: On the structure of semigroups.Annals of Math. 54 (1951), 163-172. Zbl 0043.25601, MR 0042380
Reference: [5] Ляпин Л. С.: Полугруппы.Mocквa 1960. Zbl 1004.90500
Reference: [6] Luh Jiang: On the concepts of radical of semigroup having kernel.Portug. Math. 19 (1960), 189-198. Zbl 0095.01405, MR 0131482
Reference: [7] Petrich M.: The maximal semilattice decomposition of a semigroup.Math. Zeitschr. 85 (1964), 68-82. Zbl 0124.25801, MR 0167552
Reference: [8] Шулка П.: О нильпотентных, идеалах и радикалах полугруппы.Mat.-fyz. časop. IS (1963), 209-222. Zbl 1145.93303
Reference: [9] Šulka R.: On the nilpotency in semigroups.Mat. časop. 18 (1968), 148-157. MR 0242979
Reference: [10] Schwarz Š.: K teorii pologrúp.Sborník prác Prírodovedeckej fakulty Slovenskej univerzity v Bratislavě 6 (1943), 1- 64. MR 0025477
Reference: [11] Schwarz Š.: On semigroups having a kernel.Czechslovak Math. J. 1 (1951), 229-263. MR 0051221
Reference: [12] Tamura T.: The theory of construction of finite semigroups I..Osaka Math. J. 8 (1956), 243-261. Zbl 0073.01003, MR 0083497
Reference: [13] Tamura T.: Another proof of a theorem concerning the greatest semilattice-decomposition of a semigroup.Proc. Japan Acad. 40 (1964), 777 - 780. Zbl 0135.04001, MR 0179282
Reference: [14] Yamada M.: On the greatest semilattice decomposition of a semigroup.Kódai Math. Sem. Rep. 7 (1955), 59-62. Zbl 0065.25203, MR 0074428
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