Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalent crossed products and cross product bialgebras   In a previous paper we proved a result of the type "invariance under
twisting" for Brzezinski's crossed products. In this paper we prove a converse
of this result, obtaining thus a characterization of what we call equivalent
crossed products. As an application, we characterize cross product bialgebras
(in the sense of Bespalov and Drabant) that are equivalent (in a certain sense)
to a given cross product bialgebra in which one of the factors is a bialgebra
and whose coalgebra structure is a tensor product coalgebra.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex