Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The prime spectra of relative stable module categories   For a finite group $G$ and an arbitrary commutative ring $R$, Brou\'e has
placed a Frobenius exact structure on the category of finitely generated
$RG$-modules by taking the exact sequences to be those that split upon
restriction to the trivial subgroup. The corresponding stable category is then
tensor triangulated. In this paper we examine the case $R=S/t^n$, where $S$ is
a discrete valuation ring having uniformising parameter $t$. We prove that the
prime ideal spectrum (in the sense of Balmer) of this `relative' version of the
stable module category of $RG$ is a disjoint union of $n$ copies of that for
$kG$, where $k$ is the residue field of $S$.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th