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 have the same length.

• Type: Journal
• Year: 1998
• Where: JCT
• Authors: Sergei L. Bezrukov
• Keywords: Cartesian Powers, Hasse Diagram, JCT 1998, Upper Semilattice