Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On compact exceptional objects in derived module categories   Let $A$ be a finite dimensional algebra and $D^b(A)$ be the bounded derived
category of finitely generated left $A$-modules. In this paper we consider
lengths of compact exceptional objects in $D^b(A)$, proving a sufficient
condition such that these lengths are bounded by the number of isomorphism
classes of simple $A$-modules. Moreover, we show that algebras satisfying this
condition is bounded derived simple.

35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex