Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unital locally matrix algebras and Steinitz numbers   An $F$-algebra $A$ with unit $1$ is said to be a locally matrix algebra if an
arbitrary finite collection of elements $a_1,$ $\ldots,$ $a_s $ from $ A$ lies
in a subalgebra $B$ with $1$ of the algebra $A$, that is isomorphic to a matrix
algebra $M_n(F),$ $n\geq 1.$ To an arbitrary unital locally matrix algebra $A$
we assign a Steinitz number $\mathbf{n}(A)$ and study a relationship between
$\mathbf{n}(A)$ and $A$.

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The categories of this paper are: econ
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin