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On the Möbius Function of a Pointed Graded Lattice

Author

Listed:
  • Samuel Asefa Fufa

    (Addis Ababa University)

  • Melkamu Zeleke

    (William Paterson University)

Abstract

In this paper, we compute the Möbius function of pointed integer partition and pointed ordered set partition using topological and analytic methods. We show that the associated order complex is a wedge of spheres and compute the associated reduced homology group for each subposet. In addition, we compute the Möbius function of pointed graded lattice and use our method to compute the Möbius function of pointed direct sum decomposition of vector spaces.

Suggested Citation

  • Samuel Asefa Fufa & Melkamu Zeleke, 2018. "On the Möbius Function of a Pointed Graded Lattice," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(1), pages 51-69, March.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:1:d:10.1007_s13226-018-0255-x
    DOI: 10.1007/s13226-018-0255-x
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