Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sally modules of ${\mathfrak m}$-primary ideals in local rings   Given a local Noetherian ring $(R, {\mathfrak m})$ of dimension $d>0$ and
infinite residue field, we study the invariants $($dimension and
multiplicity$)$ of the Sally module $S_J(I)$ of any ${\mathfrak m}$-primary
ideal $I$ with respect to a minimal reduction $J$. As a by-product we obtain an
estimate for the Hilbert coefficients of ${\mathfrak m}$ that generalizes a
bound established by J. Elias and G. Valla in a local Cohen-Macaulay setting.
We also find sharp estimates for the multiplicity of the special fiber ring
${\mathcal F}(I)$, which recover previous bounds established by C. Polini, W.V.
Vasconcelos and the author in the local Cohen-Macaulay case. Great attention is
also paid to Sally modules in local Buchsbaum rings.

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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio