Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When are the Rees algebras of parameter ideals almost Gorenstein graded
  rings?   Let $A$ be a Cohen-Macaulay local ring with $\operatorname{dim} A = d\ge 3$,
possessing the canonical module ${\mathrm K}_A$. Let $a_1, a_2, \ldots, a_r$
$(3 \le r \le d)$ be a subsystem of parameters of $A$ and set $Q= (a_1, a_2,
\ldots, a_r)$. It is shown that if the Rees algebra ${\mathcal R}(Q)$ of $Q$ is
an almost Gorenstein graded ring, then $A$ is a regular local ring and $a_1,
a_2, \ldots, a_r$ is a part of a regular system of parameters of $A$.

21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con