Annals of Pure and Applied Logic 101 (2-3):275-297 (2000)

Abstract
We present a necessary and sufficient condition for the embeddability of a principally decomposable finite lattice into the computably enumerable degrees. This improves a previous result which required that, in addition, the lattice be ranked. The same condition is also necessary and sufficient for a finite lattice to be embeddable below every non-zero computably enumerable degree
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DOI 10.1016/s0168-0072(99)00021-4
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Degree Structures: Local and Global Investigations.Richard A. Shore - 2006 - Bulletin of Symbolic Logic 12 (3):369-389.

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