Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On m-quasi-ideals in m-regular ordered semigroups   In this paper we characterize left(right) ideals, bi-ideals and quasi-ideals
of an ordered semigroup by an index $m$ and give some important interplays
between these ideals. The concept of m-regularity of an ordered semigroups has
been introduced. Moreover m-regular ordered semigroups are characterized by
their m-quasi-ideals and the fact that for any m-regular ordered semigroups
$A$, the set $Q_{A}$ of all m-quasi-ideals of $A$, with multiplication defined
by: $Q_{1}\circ Q_{2}=(Q_{1}Q_{2}]$, for all $Q_{1},Q_{2}\in Q_{A}$, is a
m-regular semigroup is obtained here.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg