Papers by Mohammed Al-shomrani
Generalization of Herstein theorem and its applications to range inclusion problems
Journal of the Egyptian Mathematical Society, 2014
ABSTRACT Let R be an associative ring. An additive mapping d:R→Rd:R→R is called a Jordan derivati... more ABSTRACT Let R be an associative ring. An additive mapping d:R→Rd:R→R is called a Jordan derivation if d(x2)=d(x)x+xd(x)d(x2)=d(x)x+xd(x) holds for all x∈Rx∈R. The objective of the present paper is to characterize a prime ring R which admits Jordan derivations d and g such that [d(xm),g(yn)]=0[d(xm),g(yn)]=0 for all x,y∈Rx,y∈R or d(xm)∘g(yn)=0d(xm)∘g(yn)=0 for all x,y∈Rx,y∈R, where m⩾1m⩾1 and n⩾1n⩾1 are some fixed integers. This partially extended Herstein’s result in [6, Theorem 2], to the case of (semi)prime ring involving pair of Jordan derivations. Finally, we apply these purely algebraic results to obtain a range inclusion result of continuous linear Jordan derivations on Banach algebras.
Mathematics
Monkeypox (mpox) is a zoonotic viral disease that has caused recurring outbreaks in West Africa. ... more Monkeypox (mpox) is a zoonotic viral disease that has caused recurring outbreaks in West Africa. The current global mpox virus (mpoxv) epidemic in endemic and non-endemic areas has seriously threatened public health. In this study, we design an SEIR-based deterministic model that considers prodromal stage, differential infectivity, and hospitalisation to investigate the transmission behaviour of mpoxv, which could help enhance control interventions. The model is theoretically analyzed by computing essential epidemiological quantities/dynamics, such as the basic reproduction number, which estimates the number of secondary infections caused by a typical primary case in an entirely susceptible community. Stability of the model’s equilibrium states is examined to evaluate the transmission potential of the mpoxv. Furthermore, partial rank correlation coefficient was adopted for sensitivity analysis to determine the top-rank model’s parameters for controlling the spread of mpoxv. Moreover...
Bipolar vague soft topological structures in term of operators and convergence of sequences
Journal of Intelligent & Fuzzy Systems
This work investigates the new notion of operators, including the interior operator, exterior ope... more This work investigates the new notion of operators, including the interior operator, exterior operator and closure operator in bipolar vague soft topological spaces. On the basis of these notions few results are addressed in bipolar vague soft topological spaces. Lastly, the intriguing concept is that of a sequence’s limit and on the basis of this concept few more results are addressed in bipolar vague soft topological spaces.
Algebras, Coalgebras and Dualities via Cauchy Modules
In this paper, a necessary and sufficient condition related to Morita context and bialgebras is o... more In this paper, a necessary and sufficient condition related to Morita context and bialgebras is obtained. In addition, it is proved that End R (M) is an R-coalgebra where R is a commutative ring and M is a Cauchy R-module. Moreover, some results related to Cauchy modules and Morita theory are derived.
International Mathematical Forum, 2012
Let X = GM be a factorization of a group into a subgroup G and a subsemigroup M with identity and... more Let X = GM be a factorization of a group into a subgroup G and a subsemigroup M with identity and a left inverse property. A bialgebra H = kM k(G) with basis m ⊗ δ g where m ∈ M and g ∈ G is called a left Hopf algebra if there is a one-sided antipode map S such that S(m⊗ δ g) = (m ¡ g) L ⊗ δ (m£g) −1. In this paper, we show that the quantum double D(kM k(G)) can be generated by H = kM k(G) and its dual H * = k(M) kG with specific cross relations. Moreover, an interesting example for these left Hopf algebras is introduced.
International Mathematical Forum, 2009
In this paper, we introduce the concept of a left bicrossproduct Hopf algebra associated to a fac... more In this paper, we introduce the concept of a left bicrossproduct Hopf algebra associated to a factorization of a finite group X into a subgroup G and a subsemigroup M. Moreover, we show that for a left Hopf algebra H = kM k(G) associated to a factorization X = GM of a group X into a subgroup G and a subsemigroup M with identity and left inverse property, there is a left Hopf algebra isomorphism H → H * which sends basis elements to basis elements can be constructed from a factor-reversing isomorphism of X = GM and vise versa.
Journal of Signal and Information Processing, 2013
Radio astronomy radio telescope plays the role of a linear operator, affecting the function that ... more Radio astronomy radio telescope plays the role of a linear operator, affecting the function that describes the object of research, formation of image of a monitored object. This paper presents methods for reconstruction and correction of solar radio images using the algorithm of rejections, the updated Weiner-filter, and the method CLEAN designed by Hëgbomom (Pseudonym, 2009) for point sources. It is the process of numerical convolution in signal handling, an algorithm for separating weak-contrast formations on the solar which represents most points of the actual limb by using the ellipse equation. Consequently, the filling algorithm is applied by moving from the center to the ellipse points and filling each point by solar image data. Finally, a linear limb-darkening expression is used to remove the limb darkening. Different examples of the intermediate and final results are presented in addition to the developed algorithm.
Mathematics, 2022
In this manuscript, we study a Robin problem driven by the p(x)-Laplacian with two parameters. −d... more In this manuscript, we study a Robin problem driven by the p(x)-Laplacian with two parameters. −div(|∇w|p(x)−2∇w)=λV(x)|w|q(x)−2w,x∈Q, |∇w|p(x)−2∂w∂n+θ(x)|w|p(x)−2=βV1(x)|w|r(x)−2w.x∈∂Q. Here, Q is a regular bounded domain in RN, λ,β>0, p,q are continuous functions on Q¯, ∂w∂n is the outer unit normal derivative on ∂Q, θ∈L∞(∂Q), such that essinfx∈∂Qθ(x)>0,V is an indefinite function in Ls(x)(Q) and V1 is a non-negative one in Ls1(x)(∂Q). Using variational tools, we show the existence of a non-trivial solution.
The generalization of Hermite-Hadamard type Inequality with exp-convexity involving non-singular fractional operator
<jats:p xml:lang="fr">&lt;abstract&gt;&lt;p&gt;The theory of conv... more <jats:p xml:lang="fr">&lt;abstract&gt;&lt;p&gt;The theory of convex function has a lot of applications in the field of applied mathematics and engineering. The Caputo-Fabrizio non-singular operator is the most significant operator of fractional theory which permits to generalize the classical theory of differentiation. This study consider the well known Hermite-Hadamard type and associated inequalities to generalize further. To full fill this mileage, we use the exponential convexity and fractional-order differential operator and also apply some existing inequalities like Holder, power mean, and Holder-Iscan type inequalities for further extension. The generalized exponential type fractional integral Hermite-Hadamard type inequalities establish involving the global integral. The applications of the developed results are displayed to verify the applicability. The establish results of this paper can be considered an extension and generalization of the existing results of convex function and inequality in literature and we hope that will be more helpful for the researcher in future work.&lt;/p&gt;&lt;/abstract&gt;</jats:p>
A new approach to three‐way decisions making based on fractional fuzzy decision‐theoretical rough set
International Journal of Intelligent Systems, 2021
The main aim of the proposed work is to develop the new technique based on decision‐theoretical r... more The main aim of the proposed work is to develop the new technique based on decision‐theoretical rough sets (DTRSs) and their applications in three‐way decision‐making problems. This study first develop a fractional fuzzy set (FFS) and their operations, the FFS is a more generalized and accurate tool for describing uncertainty in real‐life data information. A new form of decision technique for dealing with the issue of choice based on DTRSs is included in the three‐way decisions. The loss function of DTRSs is being used in the proposed decision method model. Initially, the idea of fractional fuzzy α‐covering (FF α‐covering), fractional fuzzy α–neighborhood (FF α–neighborhood) was introduced. Under the fractional fuzzy state, we integrated the loss function of DTRSs with covering‐based fractional fuzzy rough sets. Furthermore, we proposed and established performance characteristics for a new fractional fuzzy α‐covering decision‐theoretical rough sets model (FFCDTRSs). Then, according to the level of fractional fuzzy numbers (FFN's) positive and negative membership and related three‐way decision‐making, four methods to solve the expected loss expressed in the form of (FFNs) are described. We have developed a multicriteria decision algorithm (MCDM) based on FFCDTRS. Then an example is used to prove the feasibility of the four methods to solve the MCDM problem. Finally, the results of four distinct decision procedures with various loss functions are compared. The proposed three‐way decision‐making models are more accurate as compared with particular fuzzy sets.
Fractal and Fractional, 2021
The advection–dispersion equations have gotten a lot of theoretical attention. The difficulty in ... more The advection–dispersion equations have gotten a lot of theoretical attention. The difficulty in dealing with these problems stems from the fact that there is no perfect answer and that tackling them using local numerical methods is tough. The Riesz fractional advection–dispersion equations are quantitatively studied in this research. The numerical methodology is based on the collocation approach and a simple numerical algorithm. To show the technique’s performance and competency, a comprehensive theoretical formulation is provided, along with numerical examples.
Journal of Function Spaces, 2021
In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗ b open set i... more In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗ b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗ b open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets. Then, with the application of this new definition, some soft neutrosophical separation axioms, countability theorems, and countable space can be Hausdorff space under the subjection of neutrosophic soft sequence which is convergent, the cardinality of neutrosophic soft countable space, engagement of neutrosophic soft countable and uncountable spaces, neutrosophic soft topological features of the various spaces, soft neutrosophical continuity, the product of different soft neutrosophical spaces, and neutrosophic soft countably compact that has the characteristics of Bolzano Weierstrass Property (BVP) are studied. In addition to this, BVP shifting from one space to another through neutrosophic soft continuous funct...
Mathematics, 2020
In the age of the information-based economy and the rapid advancements of data schemes, business ... more In the age of the information-based economy and the rapid advancements of data schemes, business management has been faced with extraordinary difficulties and has entered into a reasonable period where the board’s conventional enterprise execution assessment centers around the interests of investors. Speculators accept money-related information as their basis and focus on the investigation of material fascination, and in the event of the off chance that they do not, they cannot confirm the next economy period. In this way, enterprise execution reflects the interests of investors and business strategists for the needs of partners, which is significant for the forthcoming rivalry. Given that, the collection of data is a significant research tool that has lately been considered by researchers for data examination. In this paper, we have established multi-criteria decision-making methods for the assessment of business execution with spherical fuzzy information. We have applied Hamacher ...
Studying Ultrasonic Radar Speed Meter Environment for PIC Microcontroller
International Journal of Advancements in Computing Technology, 2012
Symmetry
In this article, we generalize the concept of group-graded modules by introducing the concept of ... more In this article, we generalize the concept of group-graded modules by introducing the concept of G-weak graded R-modules, which are R-modules graded by a set G of left coset representatives, where R is a G-weak graded ring. Moreover, we prove some properties of these modules. Finally, results related to G-weak graded fields and their vector spaces are deduced. Many considerable examples are provided with more emphasis on the symmetric group S3 and the dihedral group D6, which gives the group of symmetries of a regular hexagon.
Advances in Difference Equations, 2020
In this paper, we present a numerical simulation to study a fractional-order differential system ... more In this paper, we present a numerical simulation to study a fractional-order differential system of a glioblastoma multiforme and immune system. This numerical simulation is based on spectral collocation method for tackling the fractional-order differential system of a glioblastoma multiforme and immune system. We introduce new shifted fractional-order Legendre orthogonal functions outputted by Legendre polynomials. Also, we state and derive some corollaries and theorems related to the new shifted fractional order Legendre orthogonal functions. The shifted fractional-order Legendre–Gauss–Radau collocation method is developed to approximate the fractional-order differential system of a glioblastoma multiforme and immune system. The basis of the shifted fractional-order Legendre orthogonal functions is adapted for temporal discretization. The solution of such an equation is approximated as a truncated series of shifted fractional-order Legendre orthogonal functions for temporal variab...
A Web-based Parallel Implementation to Classify Multiclass Large Datasets
Last few years are witnessed for growing the interest in Web-based Applications. Web applications... more Last few years are witnessed for growing the interest in Web-based Applications. Web applications typically interact with a back-end database to retrieve data to the user as dynamically generated output. In our work, an application is built for classification data sets, especially multi class large data sets, using parallel algorithm PMC-PBC-SVM. Our proposed application presents a general framework for data preprocessing, classification, and prediction. Our application gives an easy and interactive visual interface for classification multi class large data sets which will be useful for both technical and non-technical users.
Mathematical Notes
This paper deals with the existence of a solution of a problem involving Leray-Lions type operato... more This paper deals with the existence of a solution of a problem involving Leray-Lions type operators in Sobolev spaces with variable exponent. The proofs of our main results combine variational methods with energy estimates and Ekeland's variational principle. This paper improves and generalizes previous ones in literature, more precisely those of K. Kefi and V. R˜adulescu (Z.
Periodica Mathematica Hungarica, 2018
A subgroup H of a finite group G is quasinormal in G if it permutes with every subgroup of G. A s... more A subgroup H of a finite group G is quasinormal in G if it permutes with every subgroup of G. A subgroup H of a finite group G is $$\mathfrak {F}_{hq}$$Fhq-supplemented in G if G has a quasinormal subgroup N such that HN is a Hall subgroup of G and $$(H\cap N)H_{G}/ H_{G} \le Z_{\mathfrak {F}}(G/H_{G})$$(H∩N)HG/HG≤ZF(G/HG), where $$H_{G}$$HG is the core of H in G and $${Z}_{\mathfrak {F}} (G/H_{G})$$ZF(G/HG) is the $$\mathfrak {F}$$F-hypercenter of $${G/H}_{G}$$G/HG. This paper concerns the structure of a finite group G under the assumption that some subgroups of G are $$\mathfrak {F}_{hq}$$Fhq-supplemented in G.
The performance of a mobile network is considered in the context of the given parameters QoS. We ... more The performance of a mobile network is considered in the context of the given parameters QoS. We consider the known model QoS and problems of their use in mobile networks. In this paper proposed a mechanism to ensure QoS in mobile networks using Multiprotocol Label Switching (MPLS)
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Papers by Mohammed Al-shomrani