Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Borovik-Poizat rank and stability   There is an axiomatic treatment of Morley rank in groups, due to Borovik and
Poizat. These axioms form the basis of the algebraic treatment of groups of
finite Morley rank which is common today. There are, however, ranked
structures, i.e. structures on which a Borovik-Poizat rank function is defined,
which are not $\aleph_0$-stable. Poizat raised the issue of the relationship
between this notion of rank and stability theory in the following terms: ``un
groupe de Borovik est une structure stable, alors qu'un univers rang\'e n'a
aucune raison de l'\^etre ...''. Nonetheless, we show that a ranked structure
is superstable.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat