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88
Voted
JCT
1998
95views more  JCT 1998»
14 years 11 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
95
Voted
APAL
1998
121views more  APAL 1998»
14 years 11 months ago
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...
84
Voted
APAL
2007
72views more  APAL 2007»
14 years 11 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