Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Role of operator semirings in characterizing $\Gamma$-semirings in terms
  of fuzzy subsets   The operator semirings of a $\Gamma$-semiring have been brought into use to
study $\Gamma$-semiring in terms of fuzzy subsets. This is accomplished by
obtaining various relationships between the set of all fuzzy ideals of a
$\Gamma$-semiring and the set of all fuzzy ideals of its left operator semiring
such as lattice isomorphism between the sets of fuzzy ideals of a
$\Gamma$-semiring and its operator semirings.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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
24
The categories of this paper are: dg-ga