Article ID Journal Published Year Pages File Type
4655144 Journal of Combinatorial Theory, Series A 2015 14 Pages PDF
Abstract

In this paper, we investigate the Möbius function μSμS associated to a (locally finite) poset arising from a semigroup SS of ZmZm. We introduce and develop a new approach to study μSμS by using the Hilbert series of SS. The latter enables us to provide formulas for μSμS when SS belongs to certain families of semigroups. Finally, a characterization for a locally finite poset to be isomorphic to a semigroup poset is given.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, , , ,