Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The correct relatively stable category for idempotent modules   We answer a question posed by Carlson, Peng, and Wheeler, and demonstrate
that in general Rickard modules in relatively stable categories are not
idempotent modules even if one localizes with respect to a tensor ideal
subcategory. We also show that there is a modification one can make so as to
recover the idempotent behaviour.

29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin