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Quasi-injective S-systems and their S-endomorphism semigroup. (English) Zbl 0445.20039


MSC:

20M10 General structure theory for semigroups
20M15 Mappings of semigroups
20M30 Representation of semigroups; actions of semigroups on sets
20M50 Connections of semigroups with homological algebra and category theory
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References:

[1] Berthiaume P.: The injective envelope of \(S\)-sets. Canad. Math. Bull. 10 (1967), 261-273. · Zbl 0149.26103 · doi:10.4153/CMB-1967-026-1
[2] Botero de Meza Maria M.: Zur Theorie allgemeiner Rechtsquotientenhalbgruppen und Rechtsquotientenhalbringe. Thesis, Technischen Universität Clausthal (1975).
[3] Faith C., Y. Utumi: Quasi-injective modules and their endomorphism rings. Archiv der Math. 15 (1964), 166-174. · Zbl 0131.27502 · doi:10.1007/BF01589182
[4] Feiler E. H., R. L. Gantos: Indecomposable and injective \(S\)-systems with zero. Math. Nachr. 41 (1969), 37-48. · Zbl 0198.34301 · doi:10.1002/mana.19690410104
[5] Hinkle C. V., Jr.: Generalized semigroups of quotients. Trans. Amer. Math. Soc. 183 (1973), 87-117. · Zbl 0274.20073 · doi:10.2307/1996460
[6] Johnson R. E., E. T. Wong: Quasi-injective modules and irreducible rings. J. Lond. Math. Soc. 36(1961), 206-268. · Zbl 0103.02203 · doi:10.1112/jlms/s1-36.1.260
[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 · doi:10.1007/BF02195910
[8] Osofsky B. L.: Endomorphism rings of quasi-injective modules. Canad. J. Math. 20 (1968), 895-903. · Zbl 0162.05101 · doi:10.4153/CJM-1968-086-3
[9] Satyanarayana M.: Quasi- and weakly-injective \(S\)-systems. Math. Nachr., to appear. · Zbl 0335.20030 · doi:10.1002/mana.19760710114
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