In this paper, as a further generalization of ideals, we introduce the notion of bi-quasi-interior ideals as
a generalization of bi-ideal, quasi ideal, interior ideal, bi-interior ideal and bi-quasi ideal of ordered semigroup
and study the properties of bi-quasi-interior ideals of ordered semigroup.
In this paper, we show the way we pass from semigroups into ordered semigroups and characterize
ordered semigroups in terms of bi-interior ideals. We characterize quasi-ideal, bi-ideal and interior ideal in terms
of ...
Ideal theory plays an important role in studying
in many algebraic structures, for example, rings, semigroups,
semirings, etc. The algebraic structure Γ-semigroup is a
generalization of the classical semigroup. Many ...
. In this paper, we introduce the concepts of m-left-Γ-ideals, n-right-Γ-ideals and (m,n)-quasi-Γ-ideals in
ordered LA-Γ-semigroups and investigate about some properties of those ideals. We show that the intersection ...
