Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational group actions on affine PI-algebras   Let R be an affine PI-algebra over an algebraically closed field k and let G
be an affine algebraic k-group that acts rationally by algebra automorphisms on
R. For R prime and G a torus, we show that R has only finitely many G-prime
ideals if and only if the action of G on the center of R is multiplicity free.
This extends a standard result on affine algebraic G-varieties. Under suitable
hypotheses on R and G, we also prove a PI-version of a well-known result on
spherical varieties and a version of Schelter's catenarity theorem for
G-primes.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an