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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Embedding the diamond lattice in the recursively enumerable truth-table degrees


Authors: Carl G. Jockusch and Jeanleah Mohrherr
Journal: Proc. Amer. Math. Soc. 94 (1985), 123-128
MSC: Primary 03D25
MathSciNet review: 781069
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Abstract: It is shown that the four element Boolean algebra can be embedded in the recursively enumerable truth-table degrees with least and greatest elements preserved. Corresponding results for other lattices and other reducibilites are also discussed.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0781069-3
PII: S 0002-9939(1985)0781069-3
Keywords: Recursively enumerable sets, truth-table degrees, lattice embeddings
Article copyright: © Copyright 1985 American Mathematical Society