Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic properties of ideals of poset homomorphisms   Given finite posets $P$ and $Q$, we consider a specific ideal $L(P,Q)$, whose
minimal monomial generators correspond to order-preserving maps
$\phi:P\rightarrow Q$. We study algebraic invariants of those ideals. In
particular, sharp lower and upper bounds for the Castelnuovo-Mumford regularity
and the projective dimension are provided. Precise formulas are obtained for a
large subclass of these ideals. Moreover, we provide complete characterizations
for several algebraic properties of $L(P,Q)$, including being Buchsbaum,
Cohen-Macaulay, Gorenstein and having a linear resolution. We also give a
partial characterization for Golod property of $L(P,Q)$. Using those results,
we derive applications for other important classes of monomial ideals, such as
initial ideals of determinantal ideals and multichain ideals.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat