Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Ringel-Hall algebras, naive lattice algebras and lattice
  algebras   For a given hereditary abelian category satisfying some finiteness
conditions, in certain twisted cases it is shown that the modified Ringel-Hall
algebra is isomorphic to the naive lattice algebra and there exists an
epimorphism from the modified Ringel-Hall algebra to the lattice algebra.
Furthermore, the kernel of this epimorphism is described explicitly. Finally,
we show that the naive lattice algebra is invariant under the derived
equivalences of hereditary abelian categories.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess