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On the extended graph associated with the set of all non-zero annihilating ideals of a commutative ring 交换环上所有非零湮灭理想集合的扩展图
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.924
Hiren D. Patel
{"title":"On the extended graph associated with the set of all non-zero annihilating ideals of a commutative ring","authors":"Hiren D. Patel","doi":"10.56947/gjom.v13i1.924","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.924","url":null,"abstract":"Let Rbe a commutative ring with non-zero identity which is not an integral domain. An ideal I of a ring R is called an annihilating ideal if there exists r∈R{0} such that Ir=(0). Let A(R) denote the set of all annihilating ideals of R and A (R)*=A(R){0}. In this article, we introduce a new graph associated with R denoted by H(R) whose vertex set is A(R)* and two distinct vertices I, J are adjacent in this graph if and only if IJ=(0) or I+J ∈ A(R). The aim of this article is to study the interplay between the ring-theoretic properties of a ring R and the graph-theoretic properties of H(R). For such a ring R, we prove that H(R) is connected and find its diameter. Moreover, we determine girth of H(R). Furthermore, we provide some sufficient conditions under which H(R) is a complete graph.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123525243","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}
引用次数: 0
Some observations on numbers in short intervals 在短时间间隔内对数字的一些观察
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.925
R. Jakimczuk
{"title":"Some observations on numbers in short intervals","authors":"R. Jakimczuk","doi":"10.56947/gjom.v13i1.925","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.925","url":null,"abstract":"We obtain some results about the primes and the prime factorizations of the positive integers in the interval (x, x+xθ], where 0<θ<1. We also obtain some results about the primes and the prime factorizations of the positive integers in the interval (x, x+f(x)], where f(x) is a function of slow increase. For instance, f(x)=logαx, where α>0.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123812042","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}
引用次数: 1
Explicit representations of some generalized and mixed relatives of the Bessel functions 贝塞尔函数的一些广义亲戚和混合亲戚的显式表示
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.923
M. I. Qureshi, Mahvish Ali
{"title":"Explicit representations of some generalized and mixed relatives of the Bessel functions","authors":"M. I. Qureshi, Mahvish Ali","doi":"10.56947/gjom.v13i1.923","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.923","url":null,"abstract":"Special functions can be defined in different ways such as Rodrigue's formulae, generating functions, summation formulae, integral representations et cetera, but it is usually shown to be expressible as a series, because this is frequently the most practical way to obtain numerical values for the functions. In this paper, the explicit representations of certain mixed special functions related to the Bessel functions are obtained. A Laurent type hypergeometric generating relation is derived using series rearrangement technique. Some special cases are obtained as generating function of the known mixed type relatives of the Bessel functions. Finally explicit forms of these mixed type special functions are obtained as applications.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132920961","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}
引用次数: 0
On eigenvalues of p-biharmonic operator and associated concave-convex type equation p-双调和算子及其相关凹凸型方程的特征值
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.927
J. Doumatè, Lawouè Robert Toyou, L. Leadi
{"title":"On eigenvalues of p-biharmonic operator and associated concave-convex type equation","authors":"J. Doumatè, Lawouè Robert Toyou, L. Leadi","doi":"10.56947/gjom.v13i1.927","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.927","url":null,"abstract":"In this article, we are interested in the simplicity and the existence of the first eigensurface for the third order spectrum of p-biharmonic operator plus potential with weights and the existence of multiple solutions for associated concave-convex type equation under Navier boundary conditions.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126937193","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}
引用次数: 0
Rationalization of Toeplitz-Hankel operators Toeplitz-Hankel算子的合理化
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.801
R. Verma
{"title":"Rationalization of Toeplitz-Hankel operators","authors":"R. Verma","doi":"10.56947/gjom.v12i2.801","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.801","url":null,"abstract":"In this paper, we introduce and study the rationalization of all kinds of Toeplitz and Hankel operators on the space L2(T), T being the unit circle. ","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131543378","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}
引用次数: 1
Hill restricted four-body problem with variable mass Hill限制变质量四体问题
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.637
Abdullah A. Ansari
{"title":"Hill restricted four-body problem with variable mass","authors":"Abdullah A. Ansari","doi":"10.56947/gjom.v12i2.637","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.637","url":null,"abstract":"The presentation of the paper consists the extended version of the Hill restricted three-body problem i.e. the Hill restricted four-body problem where the mass of the fourth smallest body is supposed to variable with time and also suppose that the other three massive bodies are remain fixed at the apices of an equilateral triangle. After shifting the origin and using the various transformations, we determine the equations of motion and quasi-Jacobi integral for this model. The properties like the equilibrium points and stability are performed analytically.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125954978","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}
引用次数: 0
Exact Solutions of non-Newtonian Fluid of Rotating MHD Flows Through Porous Media with Hall Effect by Complex Variable Technique 复变技术解旋转MHD非牛顿流体通过霍尔效应多孔介质的精确解
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.789
Mantu Prajapati, Manoj Kumar, S. Sil
{"title":"Exact Solutions of non-Newtonian Fluid of Rotating MHD Flows Through Porous Media with Hall Effect by Complex Variable Technique","authors":"Mantu Prajapati, Manoj Kumar, S. Sil","doi":"10.56947/gjom.v12i2.789","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.789","url":null,"abstract":"In this paper steady, two dimensional, incompressible, electrically conducting, MHD fluid through porous media in a rotating reference frame with Hall effect under the presence of magnetic field is considered. The magnetic field is applied along the z-axis. Using complex variable technique the governing equations are recast in solvable form. Exact solutions are obtained for straight parallel flows.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123437441","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}
引用次数: 0
Contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection 关于四分之一对称非度量连接的跨sasaki流形的接触cr -子流形
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.605
P. Karmakar, Arindam Bhattacharyya
{"title":"Contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection","authors":"P. Karmakar, Arindam Bhattacharyya","doi":"10.56947/gjom.v12i2.605","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.605","url":null,"abstract":"The present paper deals with the study of contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection. We investigate totally geodesic leaves and integrability of the distributions and also study the totally umbilical contact CR-submanifolds of trans-Sasakian manifolds. At last we give an example to verify a relation.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115208989","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}
引用次数: 0
Maximum likelihood estimation in the generalized extreme value regression model for binary data 二值数据广义极值回归模型中的极大似然估计
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.733
Lo Fatimata, Demba Ba, Diop Aba
{"title":"Maximum likelihood estimation in the generalized extreme value regression model for binary data","authors":"Lo Fatimata, Demba Ba, Diop Aba","doi":"10.56947/gjom.v12i2.733","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.733","url":null,"abstract":"Generalized extreme value regression model is widely used when the dependent variable Y represents a rare event. The quantile function of the GEV distribution is used as link function to investigate the relationship between the binary outcome Y and a set of potential predictors X. In this article we develop a maximum likelihood estimation procedure int he generalized extreme value regression model. We establish the asymptotic properties (existence, consistency and asymptotic normality) of the proposed maximum likelihood estimator.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131685149","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}
引用次数: 1
The common fixed points in a bipolar metric space 双极度量空间中的公共不动点
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.741
P. P. Murthy, Z. Mitrović, Chandra Prakash Dhuri, S. Radenović
{"title":"The common fixed points in a bipolar metric space","authors":"P. P. Murthy, Z. Mitrović, Chandra Prakash Dhuri, S. Radenović","doi":"10.56947/gjom.v12i2.741","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.741","url":null,"abstract":"The purpose of this paper is to obtain a new fixed point theorem in the bipolar metric spaces. The contraction used in our theorem is the extension of Boyd-Wong-type contraction in bipolar metric spaces.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124698710","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}
引用次数: 5
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