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Injective hulls of certain $ S$-systems over a semilattice


Authors: C. S. Johnson and F. R. McMorris
Journal: Proc. Amer. Math. Soc. 32 (1972), 371-375
MSC: Primary 20.93; Secondary 06.00
DOI: https://doi.org/10.1090/S0002-9939-1972-0289687-7
MathSciNet review: 0289687
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Abstract: We construct, in the category of S-systems over a semilattice, the injective hulls of S-systems which are homomorphic images of S-subsystems of S.


References [Enhancements On Off] (What's this?)

  • [1] P. Berthiaume, The injective envelope of S-sets, Canad. Math. Bull. 10 (1967), 261-273. MR 35 #4321. MR 0213457 (35:4321)
  • [2] G. Bruns and H. Lakser, Injective hulls of semilattices, Canad. Math. Bull. 13 (1970), 115-118. MR 0274372 (43:137)
  • [3] G. Grätzer, Universal algebra, Van Nostrand, Princeton, N.J., 1968. MR 40 #1320. MR 0248066 (40:1320)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0289687-7
Keywords: S-systems, injective S-systems
Article copyright: © Copyright 1972 American Mathematical Society

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