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» On Posets whose Products are Macaulay
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80
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JCT
1998
95views more  JCT 1998»
14 years 10 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
69
Voted
JCT
2000
90views more  JCT 2000»
14 years 10 months ago
The Spider Poset Is Macaulay
Let Q(k, l) be a poset whose Hasse diagram is a regular spider with k+1 legs having the same length l (cf. Fig. 1). We show that for any n 1 the nth cartesian power of
Sergei L. Bezrukov, Robert Elsässer