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Latest Issue

Volume 16, No. 3, September 2023

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.


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.


J. A. Awolola
M. A. Ibrahim


JJMS, 2023, 16(3), 411-420

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.


Vivek Kumar
Sunil K. Sharma
Ajay K. Sharma


JJMS, 2023, 16(3), 421-430

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.


Jomon Kottarathil


JJMS, 2023, 16(3), 431-443

On a Class of Degenerate Fractional p(.)-Laplacian Problems with Variable order and Variable Exponent

The aim of this paper is to study a class of a degenerate elliptic problem driven by the fractional p(.)-Laplacian operator with variable order and variable exponent, the main tool used here is the variational method combined with the theory of variable-order fractional Sobolev spaces with variable exponent.



Abdelali Sabri


JJMS, 2023, 16(3), 445-462

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), 463-482

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.


S. Djenaoui
B. Meftah



JJMS, 2023, 16(3), 483-506

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.


Fatemeh Rashedi



JJMS, 2023, 16(3), 507-513

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 .......................


Mohamed Bourza


JJMS, 2023, 16(3), 515-533



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.


A. K. Alomari
Rula Shraideh



JJMS, 2023, 16(3), 535-549


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.  


Faranak Farshadifar


JJMS, 2023, 16(3), 551-562

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.

  S. Bouhadjar
B. Meftah



JJMS, 2023, 16(3), 563-584

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