Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Varieties of *-regular rings   Given a subdirectly irreducible *-regular ring R, we show that R is a
homomorphic image of a regular *-subring of an ultraproduct of the (simple)
eRe, e in the minimal ideal of R; moreover, R (with unit) is directly finite if
all eRe are unit-regular. Finally, unit-regularity is shown for every member of
the variety generated by artinian *-regular rings (endowed with unit and
pseudo-inversion).

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga