Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On wild algebras and super-decomposable pure-injective modules   Assume that $k$ is an algebraically closed field and $A$ is a
finite-dimensional wild $k$-algebra. Recently, L. Gregory and M. Prest proved
that in this case the width of the lattice of all pointed $A$-modules is
undefined and hence there exists a super-decomposable pure-injective
$A$-module, if the base field $k$ is countable. Here we give a proof of a
stronger result. Namely, we show that there exists a special family of pointed
$A$-modules, called an independent pair of dense chains of pointed modules.
This also yields that the width of the lattice of all pointed $A$-modules is
undefined.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org