Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655144 | Journal of Combinatorial Theory, Series A | 2015 | 14 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jonathan Chappelon, Ignacio García-Marco, Luis Pedro Montejano, Jorge Luis Ramírez Alfonsín,