Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Hagemann-Mitschke co-operations   We show that varietal techniques based on the existence of operations of a
certain arity can be extended to n-permutable categories with binary
coproducts. This is achieved via what we call approximate Hagemann-Mitschke
co-operations, a generalisation of the notion of approximate Mal'tsev
co-operation. In particular, we extend characterisation theorems for
n-permutable varieties due to J. Hagemann and A. Mitschke to regular categories
with binary coproducts.

20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin