Abstract
We study the posets (partially ordered sets) P n of partitions of an integer n, ordered by refinement, as defined by G. Birkhoff, “Lattice Theory” (3rd ed.) Colloq. Publ. Vol. 25, 1967, Amer. Math. Soc. Providince, R.I. In particular we disprove the conjecture that the posets P n are Cohen-Macaulay for all n, and show that even the Möbius functions on the intervals does not alternate in sign in general.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
