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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
well-known
results
characterizing
commutativity
of prime
(semi-prime)
rings have
been
generalized.
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Lahcen Oukhtite
Abdellah Mamouni
Mohammed Zerra
JJMS, 2023,
16(3),
397-409 |
In
this
paper,
we
define
the
concept
of
non-commutative
right
multiplication
Γ-semigroup
as a
generalization
of
non-commutative
right
multiplication
semigroups
using
right
Γ-ideals.
We
prove
some
results
related
to
regular
Γ-semigroups,
simple
Γ-semigroups,
semisimple
Γ-semigroups
and
cancellative
Γ-semigroups.
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J. A.
Awolola
M. A.
Ibrahim
JJMS,
2023,
16(3),
411-420
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Difference Cesáro Sequence Space Defined by Musielak-Orlicz 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 Musielak-Orlicz functions. We also make an effort to study the properties of composite of Museilak-Orlicz function.
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Vivek Kumar
Sunil K.
Sharma
Ajay K.
Sharma
JJMS, 2023,
16(3),
421-430
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On Pseudo-Balancing of Path-Induced 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 path-decomposed graph, it is called path-induced signed graph. In this paper, we identify few classes of balanced signed graphs and also introduce and examine a related concept, namely, pseudo-balancing of path-induced signed graphs.
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Jomon
Kottarathil
JJMS, 2023, 16(3),
431-443
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Abdelali
Sabri
JJMS, 2023,
16(3),
445-462
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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.
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Olufemi. O.
George
JJMS, 2023,
16(3),
463-482
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Fractional
Maclaurin
Type
Inequalities
for
Functions
whose First
Derivatives
are s-Convex
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
three-point
Newton-Cotes
formulae,
known as
Maclaurin’s
formula,
using
Riemann-Liouville
fractional
operators.
To
accomplish
so, we first
created a
new
identity.
From this
identity and
through the
s-convexity,
we have
established
some new
Maclaurin-type
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. |
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S. Djenaoui
B. Meftah
JJMS, 2023,
16(3),
483-506
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On Weakly
K-Clean
Rings
In this
paper, we
offer a new
generalization
of the
k-clean ring
that is
called
weakly
k-clean
ring. Let 2
≤ k
ϵ N.
Then the
ring R is
said to be a
weakly
k-clean 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
k-clean
rings. It is
shown that
each
homomorphic
image of a
weakly
k-clean ring
is weakly
k-clean.
Also, it is
proved that
the ring R[R,
S] is weakly
k-clean if
and only if
R is k-clean
and S is
weakly
k-clean.
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Fatemeh
Rashedi
JJMS, 2023,
16(3),
507-513
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Euler-Maruyama
Approximation
for
Diffusion
Process
Generated by
Divergence
form
Operator
with
Discontinuous
Coefficients
We consider
the
Euler-Maruyama
approximation
for
time-inhomogeneous
one-dimensional
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 L0t
from the
stochastic
differential
equation of
type
....................... |
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Mohamed
Bourza
JJMS, 2023,
16(3),
515-533
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Approximate
Solution of
Fractional
Allen-Cahn
Equation by
The
Mittag-Leffler
Type Kernels
This study
presents the
approximate
analytic
solution of
the
fractional
Allen-–Cahn
equation
involving
fractional-order
derivatives
with the
Mittag-Leffler
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. |
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A. K.
Alomari
Rula
Shraideh
JJMS, 2023,
16(3),
535-549
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The
Dual of
the Notions
n-submodules
and
J-submodules
Let R be a
commutative
ring with
identity and
M be an
R-module. A
proper
submodule N
of M is
called an n-submodule
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 J-submodule
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
n-submodules
and J-submodules
of M.
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Faranak
Farshadifar
JJMS, 2023,
16(3),
551-562 |
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Fractional
Simpson Like
Type
Inequalities
for
Differentiable
s-Convex
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
four-point
Simpson-type
inequalities
involving
Riemenn-Liouville
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 s-convex
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.
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S.
Bouhadjar
B. Meftah
JJMS, 2023,
16(3),
563-584 |
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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),
585-597 |
