Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector-spread monomial ideals and Eliahou-Kervaire type resolutions   We introduce the class of vector-spread monomial ideals. This notion
generalizes that of $t$-spread ideals introduced by Ene, Herzog and Qureshi. In
particular, we focus on vector-spread strongly stable ideals, we compute their
Koszul cycles and describe their minimal free resolution. As a consequence the
graded Betti numbers and the Poincar\'e series are determined. Finally, we
consider a generalization of algebraic shifting theory for such a class of
ideals.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an