In this article our attempt is to study the ring theoretic properties of $t^2$-symmetric and strongly $t^2$-symmetric rings of tripotent elements of a ring. Let $R$ be a ring and $t$ be a tripotent element of $R$, then $R$ is said to be $t^2$-symmetric if $abc=0$ implies $acbt^2=0$ for all $a,b,cin R$. It has been proved that $R$ is a $t^2$-symmetric ring if and only if $t^2$ is left semicentral and $t^2Rt^2$ is a symmetric ring. We also introduce the strongly $t^2$-symmetric ring and establish various properties of it.
{"title":"A STUDY ON $t^2$-SYMMETRIC RINGS","authors":"H. Hoque, H. K. Saikia","doi":"10.37418/amsj.12.6.1","DOIUrl":"https://doi.org/10.37418/amsj.12.6.1","url":null,"abstract":"In this article our attempt is to study the ring theoretic properties of $t^2$-symmetric and strongly $t^2$-symmetric rings of tripotent elements of a ring. Let $R$ be a ring and $t$ be a tripotent element of $R$, then $R$ is said to be $t^2$-symmetric if $abc=0$ implies $acbt^2=0$ for all $a,b,cin R$. It has been proved that $R$ is a $t^2$-symmetric ring if and only if $t^2$ is left semicentral and $t^2Rt^2$ is a symmetric ring. We also introduce the strongly $t^2$-symmetric ring and establish various properties of it.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127560449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Living or non-living beings have common characteristics of symmetry and asymmetry in the broad sense of the term. Any natural or artificial object has these common properties. The transfer function and the matrix evolution make it possible to have a rational interpretation regarding the existence of the ''global'' symmetry and the stability of any object be it natural or artificial, living or non-living. Symmetry and asymmetry play important roles in human perception (decoration of objects). They restore the stability of object as a solid base for geometric structures. Therefore, this stability gives the fortification of these.
{"title":"GLOBAL SYMMETRY AND ASYMMETRY IN THE NATURE","authors":"H. Ravelonirina, J. J. Rakoto","doi":"10.37418/amsj.12.5.3","DOIUrl":"https://doi.org/10.37418/amsj.12.5.3","url":null,"abstract":"Living or non-living beings have common characteristics of symmetry and asymmetry in the broad sense of the term. Any natural or artificial object has these common properties. The transfer function and the matrix evolution make it possible to have a rational interpretation regarding the existence of the ''global'' symmetry and the stability of any object be it natural or artificial, living or non-living. Symmetry and asymmetry play important roles in human perception (decoration of objects). They restore the stability of object as a solid base for geometric structures. Therefore, this stability gives the fortification of these.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"1 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113932445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Existence and boundedness is proved for the solutions of boundary value problems resulting from the modelling of a flow in a rectangular box by the four velocity Broadwell model. The influence of the orientation of the model in relation to the sides of the rectangle on the form of the boundary value problem is analysed. The uniqueness of the maxwellian solutions is proved. The non uniqueness of the non maxwellian solutions is established by building different exact non maxwellian solutions for the same macroscopic density.
{"title":"ON THE STEADY SOLUTIONS OF THE GENERAL FOUR VELOCITY BROADWELL MODEL","authors":"P.L. Defoou, K.K.L. Sossou, A. D'almeida","doi":"10.37418/amsj.12.5.2","DOIUrl":"https://doi.org/10.37418/amsj.12.5.2","url":null,"abstract":"Existence and boundedness is proved for the solutions of boundary value problems resulting from the modelling of a flow in a rectangular box by the four velocity Broadwell model. The influence of the orientation of the model in relation to the sides of the rectangle on the form of the boundary value problem is analysed. The uniqueness of the maxwellian solutions is proved. The non uniqueness of the non maxwellian solutions is established by building different exact non maxwellian solutions for the same macroscopic density.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"871 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133717642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Anoh Yannick Kraidi, Jean-Pierre Auguste Taki, Kinvi Kangni
Let $mathfrak{j}$ and $mathfrak{j}^{'}$ be the Cartan subalgebras of the complex semi-simple Lie algebras $mathfrak{g}$ and $mathfrak{g}^{'}$, $mathfrak{j}^{*}$ and $(mathfrak{j}^{'})^{*}$ their duals, $mathfrak{j}^{vee}$ and $(mathfrak{j}^{'})^{vee}$ the biduals of $mathfrak{j}$ and $mathfrak{j}^{'}$ respectively. We consider $B(.,.)$, the restriction to $mathfrak{j}$ and to $mathfrak{j}^{'}$ of the Killing form of $mathfrak{g}$ and $mathfrak{g}^{'}$. In this work, using the kernel $K$ of the reproducing kernel Cartan subalgebra $mathfrak{j}^{vee}$ and an operator $Phi$ from $mathfrak{j}^{*}$ to $(mathfrak{j}^{'})^{*}$, we construct another reproducing kernel Cartan subalgebra denoted by $mathfrak{j}_{Phi}^{vee}$ obtained from the kernel $K circ Phi$ and study the relationships between $mathfrak{j}^{vee}$, $mathfrak{j}_{Phi}^{vee}$ and $(mathfrak{j}^{'})^{vee}$.
{"title":"SOME PROPERTIES OF REPRODUCING KERNEL CARTAN SUBALGEBRA","authors":"Anoh Yannick Kraidi, Jean-Pierre Auguste Taki, Kinvi Kangni","doi":"10.37418/amsj.12.5.1","DOIUrl":"https://doi.org/10.37418/amsj.12.5.1","url":null,"abstract":"Let $mathfrak{j}$ and $mathfrak{j}^{'}$ be the Cartan subalgebras of the complex semi-simple Lie algebras $mathfrak{g}$ and $mathfrak{g}^{'}$, $mathfrak{j}^{*}$ and $(mathfrak{j}^{'})^{*}$ their duals, $mathfrak{j}^{vee}$ and $(mathfrak{j}^{'})^{vee}$ the biduals of $mathfrak{j}$ and $mathfrak{j}^{'}$ respectively. We consider $B(.,.)$, the restriction to $mathfrak{j}$ and to $mathfrak{j}^{'}$ of the Killing form of $mathfrak{g}$ and $mathfrak{g}^{'}$. In this work, using the kernel $K$ of the reproducing kernel Cartan subalgebra $mathfrak{j}^{vee}$ and an operator $Phi$ from $mathfrak{j}^{*}$ to $(mathfrak{j}^{'})^{*}$, we construct another reproducing kernel Cartan subalgebra denoted by $mathfrak{j}_{Phi}^{vee}$ obtained from the kernel $K circ Phi$ and study the relationships between $mathfrak{j}^{vee}$, $mathfrak{j}_{Phi}^{vee}$ and $(mathfrak{j}^{'})^{vee}$.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130660074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"HANKEL DETERMINANT OF SECOND ORDER FOR INVERSE FUNCTIONS OF CERTAIN CLASSES OF UNIVALENT FUNCTIONS","authors":"M. Obradovic, N. Tuneski","doi":"10.37418/amsj.12.4.2","DOIUrl":"https://doi.org/10.37418/amsj.12.4.2","url":null,"abstract":"","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128657301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We use the fractional step approximation method to prove the existence and the uniqueness of solutions of an initial boundary value problem for a spatial ten velocity discrete model in the study unsteady Couette flow.
在研究非定常Couette流时，利用分数阶逼近方法证明了空间十速离散模型初边值问题解的存在唯一性。
{"title":"EXISTENCE OF SOLUTIONS OF THE TEN VELOCITY SPATIAL DISCRETE MODEL OF GAS","authors":"Tinfili Natta, Amah Séna d’Almeida","doi":"10.37418/amsj.12.4.1","DOIUrl":"https://doi.org/10.37418/amsj.12.4.1","url":null,"abstract":"We use the fractional step approximation method to prove the existence and the uniqueness of solutions of an initial boundary value problem for a spatial ten velocity discrete model in the study unsteady Couette flow.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":" 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113951063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work, we are concerned with a porous problem in a bounded one-dimensional domain under Dirichlet boundary conditions with fractional time delays and internal frictional dissipative terms. By a multiplier approach, an exponential stability result are obtained.
{"title":"EXPONENTIAL STABILITY RESULT FOR A POROUS PROBLEM WITH FRACTIONAL TIME DELAYS","authors":"C. Messikh, N. Bellal, S. Labidi","doi":"10.37418/amsj.12.3.5","DOIUrl":"https://doi.org/10.37418/amsj.12.3.5","url":null,"abstract":"In this work, we are concerned with a porous problem in a bounded one-dimensional domain under Dirichlet boundary conditions with fractional time delays and internal frictional dissipative terms. By a multiplier approach, an exponential stability result are obtained.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130469647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Role-Based Access Control (RBAC) has been widely used in information systems, including so-called critical systems. In business, workflows are used to control the flow of processes. One of the major issues concerning these processes is to be able to verify that a proposed process model strictly corresponds to the specifications to which it is supposed to respond. Access control models describe the frameworks that dictate permissions. The RBAC model is generally static, i.e. the access control decisions are: grant or deny. Dynamic and flexible access control is required. In order to increase the flexibility of access control, the notion of decision has been proposed. Decisions execute the requirements to be fulfilled. The main of this article is to use the decision to produce a dynamic model. Our model augments the dynamics of the RBAC model. It allows dynamically assigning permissions. For illustration, Feather's meeting management system is used. Finally, first-order logic is used to analyze the validity of the proposed model.
{"title":"FORMAL DECISION MODELING FOR ROLE-BASED ACCESS CONTROL POLICIES","authors":"Bouadjemi Abbdelkrim","doi":"10.37418/amsj.12.3.4","DOIUrl":"https://doi.org/10.37418/amsj.12.3.4","url":null,"abstract":"Role-Based Access Control (RBAC) has been widely used in information systems, including so-called critical systems. In business, workflows are used to control the flow of processes. One of the major issues concerning these processes is to be able to verify that a proposed process model strictly corresponds to the specifications to which it is supposed to respond. Access control models describe the frameworks that dictate permissions. The RBAC model is generally static, i.e. the access control decisions are: grant or deny. Dynamic and flexible access control is required. In order to increase the flexibility of access control, the notion of decision has been proposed. Decisions execute the requirements to be fulfilled. The main of this article is to use the decision to produce a dynamic model. Our model augments the dynamics of the RBAC model. It allows dynamically assigning permissions. For illustration, Feather's meeting management system is used. Finally, first-order logic is used to analyze the validity of the proposed model.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124433710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article we study a mathematical model which describes the quasi-static process of contact between a piezoelectric body with long-term memory and an obstacle. The contact is modeled with a normal conformity condition and a version of Coulom's law. The evolution of temperature is described by a first kind evolution equation. The problem is formulated as a system of scalable elliptical variational inequalities for displacement, and a variational equality for electrical stress. We prove the existence of a unique weak solution to the problem. The proof is based on arguments from time-dependent variational inequalities, differential equations and fixed point.
{"title":"VARIATIONAL ANALYSIS OF A VISCOELASTIC FRICTIONAL CONTACT WITH LONG-TERM MEMORY BODY WITH THERMAL EFFECTS","authors":"K. Sidhoum, A. Merouani","doi":"10.37418/amsj.12.3.2","DOIUrl":"https://doi.org/10.37418/amsj.12.3.2","url":null,"abstract":"In this article we study a mathematical model which describes the quasi-static process of contact between a piezoelectric body with long-term memory and an obstacle. The contact is modeled with a normal conformity condition and a version of Coulom's law. The evolution of temperature is described by a first kind evolution equation. The problem is formulated as a system of scalable elliptical variational inequalities for displacement, and a variational equality for electrical stress. We prove the existence of a unique weak solution to the problem. The proof is based on arguments from time-dependent variational inequalities, differential equations and fixed point.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114176773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A new distribution for over-dispersed count data is proposed, and its properties are studied. This is a two-parameter distribution which is obtained by introducing an additional parameter beta into the Poisson-Lindley distribution. The goodness-of-fit of this distribution is compared with other distributions that have been proposed to model overdispersion. Two illustrative examples are presented to show the flexibility of the model.
{"title":"BETA TRANSFORMATION OF THE LINDLEY POISSON DISTRIBUTION FOR OVER-DISPERSED COUNT DATA","authors":"C. G. Louzayadio, M. K. Diafouka, R. O. Malouata","doi":"10.37418/amsj.12.3.3","DOIUrl":"https://doi.org/10.37418/amsj.12.3.3","url":null,"abstract":"A new distribution for over-dispersed count data is proposed, and its properties are studied. This is a two-parameter distribution which is obtained by introducing an additional parameter beta into the Poisson-Lindley distribution. The goodness-of-fit of this distribution is compared with other distributions that have been proposed to model overdispersion. Two illustrative examples are presented to show the flexibility of the model.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116409640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：