Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A bicategorical version of Masuoka's theorem. Applications to bimodules
  over functor categories and to firm bimodules   We give a bicategorical version of the main result of A. Masuoka ({Corings
and invertible bimodules,} {\em Tsukuba J. Math.} \textbf{13} (1989), 353--362)
which proposes a non-commutative version of the fact that for a faithfully flat
extension of commutative rings $R \subseteq S$, the relative Picard group
$Pic(S/R)$ is isomorphic to the Amitsur 1--cohomology group $H^1(S/R,U)$ with
coefficients in the units functor $U$.

13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci