Completely cyclic injective semilattices
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- by C. S. Johnson and F. R. McMorris PDF
- Proc. Amer. Math. Soc. 36 (1972), 385-388 Request permission
Abstract:
We characterize semilattices S with identity for which every cyclic S-system is injective. We note that this condition, unlike the R-module case, is not equivalent to the condition that every S-system is injective.References
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- C. S. Johnson Jr. and F. R. McMorris, Injective hulls of certain $S$-systems over a semilattice, Proc. Amer. Math. Soc. 32 (1972), 371–375. MR 289687, DOI 10.1090/S0002-9939-1972-0289687-7
- B. L. Osofsky, Rings all of whose finitely generated modules are injective, Pacific J. Math. 14 (1964), 645–650. MR 161886
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 385-388
- MSC: Primary 20M15; Secondary 06A20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0310111-X
- MathSciNet review: 0310111