Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operations on fuzzy ideals of $\Gamma$-semirings   The purpose of this paper is to introduce different types of operations on
fuzzy ideals of $\Gamma$-semirings and to prove subsequently that these
oprations give rise to different structures such as complete lattice, modular
lattice on some restricted class of fuzzy ideals of $\Gamma$-semirings. A
characterization of a regular $\Gamma$-semiring has also been obtained in terms
of fuzzy subsets.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph