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Title: Semigroups for which every totally irreducible $S$-system is injective (English)
Author: Luedeman, John K.
Author: McMorris, F. R.
Author: Sim, Soon Kiong
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 19
Issue: 1
Year: 1978
Pages: 27-35
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Category: math
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MSC: 20M10
MSC: 20M30
MSC: 20M50
idZBL: Zbl 0382.20055
idMR: MR0476895
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Date available: 2008-06-05T20:57:04Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105829
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Reference: [1] P. BERTHIAUME: The infective envelope of $S$-sets.Canad. Math. Bull. 10 (1967), 261-273. MR 0213457
Reference: [2] E. H. FELLER R. L. GANTOS: Completely infective semigroups.Pacific J. Math. 31 (1969), 359-366. MR 0257253
Reference: [3] J. B. FOUNTAIN: Completely right infective semigroups.Proc. London Math. Soc. 28(1974), 28-44. MR 0330327
Reference: [4] H.-J. HOEHNKE: Structure of semigroups.Canad J. Math. 18 (1966), 449-491. Zbl 0149.02402, MR 0197597
Reference: [5] C. S. JOHNSON, Jr. F. R. McMORRIS: Completely cyclic injective semilattices.Proc. Amer. Math. Soc. 36 (1972), 385-388. MR 0310111
Reference: [6] S. LAJOS: On semigroups which are semilattices of groups.Acta Sci. Math. 30 (1969), 133-135. Zbl 0174.30701, MR 0246989
Reference: [7] G. O. MICHLER O. E. VILLAMAYOR: On rings whose simple modules are injective.J. Alg. 25 (1973), 185-201. MR 0316505
Reference: [8] R. MING: On (von Neumann) regular rings.Proc. Edinburgh Math. Soc. 19 (1974), 89-91. MR 0342553
Reference: [9] R. H. OEHMKE: On maximal congruences and finite semisimple semigroups.Trans. Amer. Math. Soc. 125 (1966), 223-237. Zbl 0158.02101, MR 0202880
Reference: [10] M. PETRICH: Introduction to Semigroups.C. Merrill, Publ., Columbus, Ohio, 1973. Zbl 0321.20037, MR 0393206
Reference: [11] B. M. SCHEIN: Infective $S$-acts over inverse semigroups.Notices Amer. Math. Soc., Nov. 23 (1976), A-640.
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