Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $h$-vector of a relatively compressed level algebra   The purpose of this note is to supply an upper and a lower bound (which are
in general sharp) for the $h$-vector of a level algebra which is relatively
compressed with respect to any arbitrary level algebra $A$. The useful concept
of relatively compressed algebra was recently introduced in $[MMN]$ by Migliore
{\it et al.} (whose investigations mainly focused on the particular case of $A$
a complete intersection). The key idea of this note is the simple observation
that the level algebras which are relatively compressed with respect to $A$
coincide (after an obvious isomorphism) with the generic level quotients of
suitable truncations of $A$. Therefore, we are able to apply to relatively
compressed algebras the main result of our recent work $[Za3]$.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th