Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the structure of Goldie Modules   Given a semiprime Goldie module $M$ projective in $\sigma[M]$ we study
decompositions on its $M$-injective hull $\hat{M}$ in terms of the minimal
prime in $M$ submodules. With this, we characterize the semiprime Goldie
modules in $\mathbb{Z}$-Mod and make a decomposition of the endomorphism ring
of $\hat{M}$. Also, we investigate the relations among semiprime Goldie
modules, $QI$-modules and co-semisimple modules extending results on left
$QI$-rings and $V$-rings.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga