Title:
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The Maximal Semilattice Decomposition of a Semigroup, Radicals and Nilpotency (English) |
Author:
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Šulka, Robert |
Language:
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English |
Journal:
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Matematický časopis |
ISSN:
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0025-5173 |
Volume:
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20 |
Issue:
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3 |
Year:
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1970 |
Pages:
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172-180 |
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Category:
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math |
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MSC:
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20M10 |
idZBL:
|
Zbl 0249.20031 |
idMR:
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MR0311821 |
. |
Date available:
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2009-09-25T08:08:10Z |
Last updated:
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2012-07-31 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/127082 |
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Reference:
|
[1] Bosák J.: On radicals of semigroups.Mat. časop. 18 (1968), 204-212. MR 0240226 |
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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