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JCT
1998
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13 years 4 months ago
On Posets whose Products are Macaulay
If P is an upper semilattice whose Hasse diagram is a tree and whose cartesian powers are Macaulay, it is shown that Hasse diagram of P is actually a spider in which all the legs ...
Sergei L. Bezrukov
APAL
1998
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Computably Enumerable Sets and Quasi-Reducibility
We consider the computably enumerable sets under the relation of Qreducibility. We first give several results comparing the upper semilattice of c.e. Q-degrees, RQ, ≤Q , under ...
Rodney G. Downey, Geoffrey LaForte, André N...
APAL
2007
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13 years 4 months ago
On definable filters in computably enumerable degrees
Based on a result of Nies on definability the upper semilattice of computably enumerable degrees (denoted by R), we find that in R filters generated by definable subsets are al...
Wei Wang, Decheng Ding