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Article

Title: On the structure of lower radical semigroups (English)
Author: Wiegandt, Richard
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 22
Issue: 1
Year: 1972
Pages: 1-6
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Category: math
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MSC: 20M10
idZBL: Zbl 0238.20081
idMR: MR0292983
DOI: 10.21136/CMJ.1972.101074
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Date available: 2008-06-09T13:55:00Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101074
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Reference: [1] E. P. Armendariz W. G. Leavitt: The hereditary property in the lower radical construction.Can. J. Math., 20 (1968), 474-476. MR 0223398, 10.4153/CJM-1968-044-3
Reference: [2] A. H. Clifford G. B. Preston: The algebraic theory of emigroups I-II.Providence, 1961 and 1967.
Reference: [3] N. Divinsky: Rings and radicals.London, 1965. Zbl 0138.26303, MR 0197489
Reference: [4] E. Ц. Ляпин: Полугруппы.Москва. 1961, Zbl 1160.68305
Reference: [5] D. Rees: On semigroups.Proc. Cambridge Philos. Soc, 36 (1940), 387-400. MR 0002893
Reference: [6] Št Schwarz: О полугруппах, имеющих ядро.Czechoslovak Math. J., 1 (76) (1951), 229-264. Zbl 0045.15608, MR 0051221
Reference: [7] О. Steinfeld: On semigroups which are unions of completely 0-simple subsemigroups.Czechoslovak Math. J., 16 (91) (1966), 63-69. MR 0188328
Reference: [8] O. Steinfeld: On a generalization of completely 0- simple semigroups.Acta Sci. Math., 28 (1967), 135-145. MR 0215938
Reference: [9] A. Sulinski R. Anderson N. Divinsky: Lowel radical properties for associative and alternative rings.J. London: Math. Soc, 41 (1966), 417-424. MR 0195899
Reference: [10] F. Szasz R. Wiegandt: On the duality of radical and semisimple objects in categories.Acta Math. Acad. Sci. Hung., 21 (1970), 175-182. MR 0263892, 10.1007/BF02022498
Reference: [11] J. F. Watters: Lower radicals in associative rings.Can J. Math., 21 (1969), 466-476. Zbl 0185.08804, MR 0237555, 10.4153/CJM-1969-051-3
Reference: [12] R. Wiegandt: Structure theorems for objects.Publ. Math. (Debrecen), (to appear). Zbl 0267.18003, MR 0360737
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