Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The lambda-dimension of commutative arithmetic rings   It is shown that every commutative arithmetic ring $R$ has $lambda$-dimension
$ leq 3$. An example of a commutative Kaplansky ring with $ lambda$-dimension 3
is given. If $R$ satisfies an additional condition then $ lambda$-dim($R$)

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th