ON THE MOBIUS FUNCTION OF A POINTED GRADED LATTICE

被引：0

作者：

Fufa, Samuel Asefa ^{[1
]}

Zeleke, Melkamu ^{[2
]}

机构：

[1] Addis Ababa Univ, Dept Math, Addis Ababa, Ethiopia

[2] William Paterson Univ, Dept Math, Wayne, NJ USA

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2018年 / 49卷 / 01期

关键词：

Partition; pointed partition; Mobius function; poset map; simplicial complex; cone; contractible; homology group; simplicial map; PARTITIONS; HOMOLOGY; POSET;

D O I：

10.1007/s13226-018-0255-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we compute the Mobius 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 Mobius function of pointed graded lattice and use our method to compute the Mobius function of pointed direct sum decomposition of vector spaces.

引用

页码：51 / 69

页数：19

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