Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Cohen-Macaulay property of squarefree modules and simplicial
  posets   Recently, G. Floystad studied "higher Cohen-Macaulay property" of certain
finite regular cell complexes. In this paper, we partially extend his results
to squarefree modules, toric face rings, and simplicial posets. For example, we
show that if (the corresponding cell complex of) a simplicial poset is
$l$-Cohen-Macaulay then its codimension one skeleton is $(l+1)$-Cohen-Macaulay.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga