Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Similarity for zero-square matrices   Let T be an n by n zero-square matrix over a commutative unital ring R. We
show that T is similar to a multiple of E_1n if R is a GCD domain and n = 2, if
R is a GCD domain with 2 not zero divisor and n = 3, but there are matrices
which are not similar to any multiple of E_1n whenever n greater or equal 4,
over any commutative unital ring.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin