The Stanley Depth of Some Power Sets of Multisets

Abstract

In this paper, we study the Stanley depth for the partially ordered set (poset) of nonempty submultisets of a multiset. We find the Stanley depth explicitly for any multiset with at most five distinct elements and provide an upper bound for the general case. On the other hand, the elements of a product of chains corresponds to the submultisets of a multiset… (More)

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