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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Completely cyclic injective semilattices


Authors: C. S. Johnson and F. R. McMorris
Journal: Proc. Amer. Math. Soc. 36 (1972), 385-388
MSC: Primary 20M15; Secondary 06A20
MathSciNet review: 0310111
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0310111-X
Keywords: S-systems, injective cyclic S-systems
Article copyright: © Copyright 1972 American Mathematical Society