Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: CW-complex Nagata Idealizations   We introduce a novel construction which allows us to identify the elements of
the skeletons of a CW-complex $P(m)$ and the monomials in $m$ variables. From
this, we infer that there is a bijection between finite CW-subcomplexes of
$P(m)$, which are quotients of finite simplicial complexes, and some bigraded
standard Artinian Gorenstein algebras, generalizing previous constructions in
\cite{F:S}, \cite{CGIM} and \cite{G:Z}.
  We apply this to a generalization of Nagata idealization for level algebras.
These algebras are standard graded Artinian algebras whose Macaulay dual
generator is given explicitly as a bigraded polynomial of bidegree $(1,d)$. We
consider the algebra associated to polynomials of the same type of bidegree
$(d_1,d_2)$.

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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph