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» On Posets whose Products are Macaulay
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JCT
1998
95views more  JCT 1998»
13 years 5 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
JCT
2000
90views more  JCT 2000»
13 years 5 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