Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absolutely Self Pure Modules   An $R$-module $M$ is called absolutely self pure if for any finitely
generated left ideal of $R$ whose kernel is in the filter generated by the set
of all left ideals $L$ of $R$ with $L \supseteq$ ann $(m)$ for some $m \in M$,
any map from $L$ to $M$ is a restriction of a map $R \rightarrow M$. Certain
properties of quasi injective and absolutely pure modules are extended to
absolute self purity. Regular and left noetherian rings are characterized using
this new concept.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th