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On the Möbius Function of a Pointed Graded Lattice.
- Source :
- Indian Journal of Pure & Applied Mathematics; Mar2018, Vol. 49 Issue 1, p51-69, 19p
- Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00195588
- Volume :
- 49
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Indian Journal of Pure & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 128573229
- Full Text :
- https://doi.org/10.1007/s13226-018-0255-x