Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations and radicals in abstract lattices and in lattices of subspaces
  of Banach spaces and ideals of Banach algebras. Amitsur's theory revisited   We refine Amitsur's theory of radicals in complete lattices and apply the
obtained results to the theory of radicals in the lattices of subspaces of
Banach spaces and in the lattices of ideals of Banach and C*-algebras and of
Banach Lie algebras.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess