Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operators coming from ring schemes   We introduce the notion of a coordinate $\mathbf{k}$-algebra scheme and the
corresponding notion of a $\mathcal{B}$-operator. This class of operators
includes endomorphisms and derivations of the Frobenius map, and it also
generalizes the operators related to $\mathcal{D}$-rings from [15]. We classify
the (coordinate) $\mathbf{k}$-algebra schemes for a perfect field $\mathbf{k}$
and we also discuss the model-theoretic properties of fields with
$\mathcal{B}$-operators.

1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th