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Title: Quasi-injective $S$-systems and their $S$-endomorphism semigroup (English)
Author: Lopez, Antonio M., Jr.
Author: Luedeman, John K.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 29
Issue: 1
Year: 1979
Pages: 97-104
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Category: math
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MSC: 16A52
idZBL: Zbl 0445.20039
idMR: MR518143
DOI: 10.21136/CMJ.1979.101581
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Date available: 2008-06-09T14:32:02Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101581
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Reference: [1] Berthiaume P.: The injective envelope of $S$-sets.Canad. Math. Bull. 10 (1967), 261-273. Zbl 0149.26103, MR 0213457, 10.4153/CMB-1967-026-1
Reference: [2] Botero de Meza Maria M.: Zur Theorie allgemeiner Rechtsquotientenhalbgruppen und Rechtsquotientenhalbringe.Thesis, Technischen Universität Clausthal (1975).
Reference: [3] Faith С., Y. Utumi: Quasi-injective modules and their endomorphism rings.Archiv der Math. 15 (1964), 166-174. Zbl 0131.27502, MR 0166226, 10.1007/BF01589182
Reference: [4] Feiler E. H., R. L. Gantos: Indecomposable and injective $S$-systems with zero.Math. Nachr. 41 (1969), 37-48. MR 0254164, 10.1002/mana.19690410104
Reference: [5] Hinkle C. V., Jr.: Generalized semigroups of quotients.Trans. Amer. Math. Soc. 183 (1973), 87-117. Zbl 0274.20073, MR 0335666, 10.1090/S0002-9947-1973-0335666-6
Reference: [6] Johnson R. E., E. T. Wong: Quasi-injective modules and irreducible rings.J. Lond. Math. Soc. 36(1961), 206-268. Zbl 0103.02203, MR 0131445
Reference: [7] Lopez A. M., Jr., J. K. Luedeman: The bicommutator of the injective hull of a nonsingular semigroup.Semigroup Forum 12 (1976), 71-77. Zbl 0322.20033, MR 0409706, 10.1007/BF02195910
Reference: [8] Osofsky B. L.: Endomorphism rings of quasi-injective modules.Canad. J. Math. 20 (1968), 895-903. Zbl 0162.05101, MR 0231856, 10.4153/CJM-1968-086-3
Reference: [9] Satyanarayana M.: Quasi- and weakly-injective $S$-systems.Math. Nachr., to appear. Zbl 0335.20030, MR 0404499
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