On some
Factor Rings
and their
Connections
with
Derivations
Our purpose
in this
paper is to
investigate
certain
central
valued
identities
on a factor
ring with
respect to a
prime ideal
P of a ring
R, involving
a pair of
derivations
of R. Some
wellknown
results
characterizing
commutativity
of prime
(semiprime)
rings have
been
generalized.


Lahcen Oukhtite
Abdellah Mamouni
Mohammed Zerra
JJMS, 2023,
16(3),
397409 
In
this
paper,
we
define
the
concept
of
noncommutative
right
multiplication
Γsemigroup
as a
generalization
of
noncommutative
right
multiplication
semigroups
using
right
Γideals.
We
prove
some
results
related
to
regular
Γsemigroups,
simple
Γsemigroups,
semisimple
Γsemigroups
and
cancellative
Γsemigroups.


J. A.
Awolola
M. A.
Ibrahim
JJMS,
2023,
16(3),
411420

Difference Cesáro Sequence Space Defined by MusielakOrlicz Functions
The main goal of this paper is to study the topological and algebraic properties of the new constructed Cesáro sequence space of difference operator by means of MusielakOrlicz functions. We also make an effort to study the properties of composite of MuseilakOrlicz function.


Vivek Kumar
Sunil K.
Sharma
Ajay K.
Sharma
JJMS, 2023,
16(3),
421430

On PseudoBalancing of PathInduced Signed Graphs
The path decomposition of a graph G is the partition of its edges into distinct paths. Pendant number of a graph G is the least number of terminal vertices involved in the path decomposition of G. If the signed function is induced by the terminal vertices of the pathdecomposed graph, it is called pathinduced signed graph. In this paper, we identify few classes of balanced signed graphs and also introduce and examine a related concept, namely, pseudobalancing of pathinduced signed graphs.


Jomon
Kottarathil
JJMS, 2023, 16(3),
431443



Abdelali
Sabri
JJMS, 2023,
16(3),
445462

On Holomorph of WIP PACC Loops
This work investigates the holomorph of a weak inverse property power associative conjugacy closed (WIP PACC) loop. It is shown that the holomorph of a WIP PACC loop is WIP PACC. If Q is a WIP PACC loop and A is the automorphism group of Q, then each θ ϵ A is a nuclear automorphism. The A(Q) holomorph of a WIP PACC loop is shown to satisfy the doubly weak inverse property. A necessary and sufficient condition for the holomorph of an arbitrary loop and its automorphism group to produce a WIP PACC loop is established.
Finally, if Q is a LWPC (RWPC) loop with x ϵ Nµ(Q), then the holomorph of Q is an extra loop.


Olufemi. O.
George
JJMS, 2023,
16(3),
463482

Fractional
Maclaurin
Type
Inequalities
for
Functions
whose First
Derivatives
are sConvex
Functions
Classical
and
fractional
integral
inequalities
have become
a popular
method and a
powerful
tool for
estimating
errors of
quadrature
formulas.
Several
studies on
various
types of
inequality
have been
conducted
and the
literature
in this area
is vast and
diverse. The
current
study
intends to
investigate
one of the
open
threepoint
NewtonCotes
formulae,
known as
Maclaurin’s
formula,
using
RiemannLiouville
fractional
operators.
To
accomplish
so, we first
created a
new
identity.
From this
identity and
through the
sconvexity,
we have
established
some new
Maclaurintype
inequalities,
we also
discussed
the cases
that can be
derived of
our finding.
Furthermore,
various
applications
for error
estimates
are offered
to
demonstrate
the efficacy
of our
primary
results. 

S. Djenaoui
B. Meftah
JJMS, 2023,
16(3),
483506

On Weakly
KClean
Rings
In this
paper, we
offer a new
generalization
of the
kclean ring
that is
called
weakly
kclean
ring. Let 2
≤ k
ϵ N.
Then the
ring R is
said to be a
weakly
kclean if
for each a
ϵ R
there exist
u
ϵ U(R)
and e
ϵ
Pk(R) such
that a = u+e
or a = u−e.
We obtain
some
properties
of weakly
kclean
rings. It is
shown that
each
homomorphic
image of a
weakly
kclean ring
is weakly
kclean.
Also, it is
proved that
the ring R[R,
S] is weakly
kclean if
and only if
R is kclean
and S is
weakly
kclean.


Fatemeh
Rashedi
JJMS, 2023,
16(3),
507513

EulerMaruyama
Approximation
for
Diffusion
Process
Generated by
Divergence
form
Operator
with
Discontinuous
Coefficients
We consider
the
EulerMaruyama
approximation
for
timeinhomogeneous
onedimensional
stochastic
differential
equations
involving
the local
time (SDELT),
generated by
divergence
form
operators
with
discontinuous
coefficients
at zero. We
use a space
transform in
order to
remove the
local time L^{0}_{t}
from the
stochastic
differential
equation of
type
....................... 

Mohamed
Bourza
JJMS, 2023,
16(3),
515533

Approximate
Solution of
Fractional
AllenCahn
Equation by
The
MittagLeffler
Type Kernels
This study
presents the
approximate
analytic
solution of
the
fractional
Allen–Cahn
equation
involving
fractionalorder
derivatives
with the
MittagLeffler
type
kernels. The
fractional
derivative
contains
three
parameters
that can
adjust the
model. We
utilize the
homotopy
analysis
method (HAM)
to generate
the solution
of the
fractional
differential
equations.
The effect
of the
fractional
parameters
on the
solution
behaviors is
studied, and
the
approximate
analytical
solution of
the
fractional
Allen–Cahn
equation has
been
acquired
successfully.
Numerical
results are
given
through
graphs and
tables.
Since the
exact
solution of
the obtained
differential
equation is
unknown, we
calculate
the residual
error to
demonstrate
the
algorithm’s
efficiency. 

A. K.
Alomari
Rula
Shraideh
JJMS, 2023,
16(3),
535549

The dual of
the notions
nsubmodules
and
Jsubmodules
Let R be a
commutative
ring with
identity and
M be an
Rmodule. A
proper
submodule N
of M is
called an nsubmodule
if for a ϵ
R, m ϵ M, am
ϵ N with
........ ,
implies m ϵ
N. A proper
submodule N
of M is
called a Jsubmodule
of M if for
a ϵ R and m
ϵ M,
whenever am
ϵ N and a ∈
(J(R)M : M),
then m ϵ N.
The aim of
this paper
is to
introduce
and
investigate
the dual
notions of
nsubmodules
and Jsubmodules
of M.


Faranak
Farshadifar
JJMS, 2023,
16(3),
551562 
Fractional
Simpson Like
Type
Inequalities
for
Differentiable
sConvex
Functions
Convexity
inequalities
are very
important
for
fractional
calculus and
its
efficiency
in many
applied
sciences.
This field
has become
increasingly
popular and
represents a
powerful
tool for
estimating
errors of
quadrature
formulas. In
this paper,
we seek to
develop new
fourpoint
Simpsontype
inequalities
involving
RiemennLiouville
integral
operators.
To do this,
we first
propose a
new integral
identity. By
using this
identity we
establish
some new
fractional
Simpson like
type
inequalities
for
functions
whose first
derivatives
are sconvex
in the
second
sense.
Some
particular
cases are
also
discussed.
We provid at
the end some
applications
to special
means to
demonstrate
the
effectiveness
of our
results.


S.
Bouhadjar
B. Meftah
JJMS, 2023,
16(3),
563584 
Amalgamations
of Potent,
Semipotent,
and
Semisuitable
Rings
We
investigate
the transfer
of the
notion of
semisuitable,
potent, and
semipotent
rings in
different
settings of
the
amalgamated
algebras
along an
ideal. We
put the
transfer
results in
use to
provide
examples
subject to
the involved
ring
theoretic
notions as
well as to
recover some
previous
results
related to
the transfer
of these
notions in
other
constructions
such as
trivial ring
extension. 

Khalid
Adarbeh
Mohammad
Adarbeh
JJMS, 2023,
16(3),
585597 