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 ...
In this paper, we present two new iteration methods to find the
solutions of nonlinear equations, which were developed from a concept
of Obadah [10] and Taylor’s Series to estimate the second derivative.
Analysis of its ...
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 ...
In this paper, we introduce the notion of (m.n)-quasi-hyperideal of an ordered LA-semihypergroup,
and describe some property of (m, n)-quasi-hyperideal of an ordered L.A-semihypergroup. Also including the
study relations ...
In this paper, as a further generalization of hyperideal, we introduce the notion of bi-quasi-interior
hyperideal as a generalization of bi-hyperideal, quasi hyperideal, interior hyper-ideal, bi-interior hyperideal ...
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 ...
The concept of
( , ) m n -simple ordered semigroups has been introduced by T.
Changphas (Changphas, 2015, pp. 1-5). Let
m n,
be nonnegative integers. An ordered
semigroup
S
is said to be
( , ) m n -simple if it ...
The concept of (m, n) -simple ordered semigroups has been introduced by T.
Changphas (Changphas, 2015, pp. 1-5). Let m, n be nonnegative integers. An ordered
semigroup S is said to be (m, n) -simple if it does not contain ...