Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On reflexive simple modules in Artin algebras   Let $A$ be an Artin algebra. It is well known that $A$ is selfinjective if
and only if every finitely generated $A$-module is reflexive. In this article
we pose and motivate the question whether an algebra $A$ is selfinjective if
and only if every simple module is reflexive. We give a positive answer to this
question for large classes of algebras which include for example all Gorenstein
algebras and all QF-3 algebras.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph