Arab Journal of Mathematical Sciences最新文献

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Subcommuting and comparable iterative roots of order preserving homeomorphisms 保序同胚的子交换和可比较迭代根

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-10-31 DOI: 10.1016/j.ajmsc.2019.10.003

V. Murugan, Murugan Suresh Kumar

引用次数: 0

Generators and number fields for torsion points of a special elliptic curve 一类特殊椭圆曲线扭转点的生成器和数域

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-10-29 DOI: 10.1016/j.ajmsc.2019.10.002

Hasan Sankari, Mustafa Bojakli

引用次数: 0

Nonlinear Jordan centralizer of strictly upper triangular matrices 严格上三角矩阵的非线性Jordan中心化子

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Arab Journal of Mathematical Sciences

Pub Date : 2019-09-07 DOI: 10.1016/j.ajmsc.2019.08.002

Driss Aiat Hadj Ahmed

引用次数: 0

Some results on modules satisfying S-strong accr∗ 关于满足s强accr *的模的一些结果

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2019-03-05 DOI: 10.1016/j.ajmsc.2019.02.004

S. Visweswaran, Premkumar T. Lalchandani

<div>The rings considered in this article are commutative with identity. Modules are assumed to be unitary. Let <math><mi>R</mi></math> be a ring and let <math><mi>S</mi></math> be a multiplicatively closed subset of <math><mi>R</mi></math>. We say that a module <math><mi>M</mi></math> over <math><mi>R</mi></math> satisfies<math><mi>S</mi></math>- strong<math><mi>a</mi><mi>c</mi><mi>c</mi><msup><mrow><mi>r</mi></mrow><mrow><mo>∗</mo></mrow></msup></math> if for every submodule <math><mi>N</mi></math> of <math><mi>M</mi></math> and for every sequence <math><mo><</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>></mo></math> of elements of <math><mi>R</mi></math>, the ascending sequence of submodules <math><mrow><mo>(</mo><mi>N</mi><msub><mrow><mo>:</mo></mrow><mrow><mi>M</mi></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>)</mo></mrow><mo>⊆</mo><mrow><mo>(</mo><mi>N</mi><msub><mrow><mo>:</mo></mrow><mrow><mi>M</mi></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></mrow><mo>⊆</mo><mrow><mo>(</mo><mi>N</mi><msub><mrow><mo>:</mo></mrow><mrow><mi>M</mi></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>)</mo></mrow><mo>⊆</mo><mo>⋯</mo><mspace></mspace></math> is <math><mi>S</mi></math>-stationary. That is, there exist <math><mi>k</mi><mo>∈</mo><mi>N</mi></math> and <math><mi>s</mi><mo>∈</mo><mi>S</mi></math> such that <math><mi>s</mi><mrow><mo>(</mo><mi>N</mi><msub><mrow><mo>:</mo></mrow><mrow><mi>M</mi></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>⋯</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>)</mo></mrow><mo>⊆</mo><mrow><mo>(</mo><mi>N</mi><msub><mrow><mo>:</mo></mrow><mrow><mi>M</mi></mrow></msub><msub><mrow><mi>r</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>⋯</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>)</mo></mrow></math> for all <math><mi>n</mi><mo>≥</mo><mi>k</mi></math>. We say that a ring <math><mi>R</mi></math> satisfies <math><mi>S</mi></math>- strong <math><mi>a</mi><mi>c</mi><mi>c</mi><msup><mrow><mi>r</mi></mrow><mrow><mo>∗</mo></mrow></msup></math> if <math><mi>R</mi></math> regarded as a module over <math><mi>R</mi></math> satisfies <math><mi>S</mi></math>-strong <math><mi>a</mi><mi>c</mi><mi>c</mi><msup><mrow><mi>r</mi></mrow><mrow><mo>∗</mo></mrow></msup></math>. The aim of this article is to study some basic properties of rings

本文中考虑的环是具有恒等式的可交换环。假定模块是统一的。设R是一个环，S是R的一个乘闭子集。我们说模M在R上满足-强accr *，如果对M的每一个子模N和对每一个序列<rn>对于R的元素，子模块(N:Mr1)、(N:Mr1r2)、(N:Mr1r2r3)的升序为s平稳。即存在k∈N, s∈s，使得对于所有N≥k, s(N:Mr1⋯rn)≤N:Mr1⋯rk。我们说环R满足S强accr *，如果R作为R上的模满足S强accr *。本文的目的是研究满足s强accr *的环和模的一些基本性质。

引用次数: 5

An extension of the reflexive property of rings 环自反性的一个推广

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2018-11-22 DOI: 10.1016/j.ajmsc.2018.11.003

Arnab Bhattacharjee

Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism $α$ , Krempa studied $α$ -rigid rings as an extension of reduced rings. In this note, we introduce the notion of $α$ -quasi reflexive rings as a generalization of $α$ -rigid rings and a natural extension of the reflexive property to ring endomorphisms. We investigate various properties of these rings and also study ring theoretic extensions such as polynomial rings, trivial extensions, right (left) quotient rings, Dorroh extensions etc. over these rings.

梅森将环的自反性作为约简环的推广引入了环的概念。对于环自同态α， Krempa研究了α-刚性环作为约简环的延伸。本文引入了α-拟自反环的概念，作为α-刚性环的推广和自反性质对环自同态的自然推广。我们研究了这些环的各种性质，并研究了环理论的扩展，如多项式环、平凡扩展、右(左)商环、Dorroh扩展等。

引用次数: 2

Metric dimension of generalized wheels 广义车轮的公制尺寸

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2019-04-27 DOI: 10.1016/j.ajmsc.2019.04.002

Badekara Sooryanarayana , Shreedhar Kunikullaya , Narahari Narasimha Swamy

In a graph $G$ , a vertex $w \in V (G)$ resolves a pair of vertices $u, v \in V (G)$ if $d (u, w) \neq d (v, w)$ . A resolving set of $G$ is a set of vertices $S$ such that every pair of distinct vertices in $V (G)$ is resolved by some vertex in $S$ . The minimum cardinality among all the resolving sets of $G$ is called the metric dimension of $G$ , denoted by $β (G)$ . The metric dimension of a wheel has been obtained in an earlier paper (Shanmukha et al., 2002). In this paper, the metric dimension of the family of generalized wheels is obtained. Further, few properties of the metric dimension of the corona product of graphs have been discussed and some relations between the metric dimension of a graph and its generalized corona product are established.

在图G中，如果d(u,w)≠d(V,w)，则顶点w∈V(G)可以解析一对顶点u, V∈V(G)。G的解析集是顶点S的集合，使得V(G)中的每一对不同的顶点都能被S中的某个顶点解析。G的所有解析集的最小基数称为G的度量维数，用β(G)表示。车轮的公制尺寸已在较早的论文中获得(Shanmukha et al.， 2002)。本文给出了广义车轮族的度量维数。进一步讨论了图的电晕积的度量维数的几个性质，建立了图的度量维数与其广义电晕积之间的一些关系。

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引用次数: 5

On stochastic solutions of nonlocal random functional integral equations 非局部随机泛函积分方程的随机解

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2018-12-04 DOI: 10.1016/j.ajmsc.2018.11.004

M.M. Elborai , M.I. Youssef

In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a finite second moment. We state and prove the conditions which guarantee the uniqueness of the solution. We solve a nonlinear example analytically and obtain the initial condition which makes the solution passes through a random position with a given normal distribution at a specified time. Also, the Milstein scheme to this example is studied.

利用Schauder不动点，在有限二阶矩的所有平方可积随机过程空间中，证明了一类泛函非局部随机微分方程在充分条件下至少有一个解的存在性。我们陈述并证明了保证解的唯一性的条件。本文对一个非线性实例进行了解析求解，得到了使解在给定时间内经过具有给定正态分布的随机位置的初始条件。此外，本文还研究了该实例的Milstein格式。

引用次数: 5

Some results on vanishing moments of wavelet packets, convolution and cross-correlation of wavelets 关于小波包的消失矩、小波的卷积和互相关的一些结果

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2018-07-23 DOI: 10.1016/j.ajmsc.2018.07.001

A.M. Jarrah , Nikhil Khanna

A formula for calculating moments for wavelet packets is derived and a sufficient condition for moments of wavelet packets to be vanishing is obtained. Also, the convolution and cross-correlation theorems for Hilbert transform of wavelets are proved. Finally, using MRA of $L^{2} (R)$ , some results on the vanishing moments of the scaling functions, wavelets and their convolution in two dimension are given.

导出了小波包矩的计算公式，得到了小波包矩消失的充分条件。并证明了小波希尔伯特变换的卷积定理和互相关定理。最后，利用L2(R)的MRA，给出了二维尺度函数、小波及其卷积的消失矩的一些结果。

引用次数: 10

Bifurcation analysis of a nonlinear diffusion model: Effect of evaluation period for the diffusion of a technology 非线性扩散模型的分岔分析:评价周期对技术扩散的影响

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2019-02-19 DOI: 10.1016/j.ajmsc.2018.12.001

Rakesh Kumar , Anuj Kumar Sharma , Kulbhushan Agnihotri

A nonlinear modified form of Bass model involving the interactions of non-adopter and adopter populations has been proposed to describe the process of diffusion of a new technology in the presence of evaluation period (time delay). The basic aim is to model the diffusion of those technologies which require higher investments, and which require government subsidies for promotions in the various markets. We use government incentives and the costs in the form of external factors, as well as the internal word of mouth that considerably influence the non-adopters decisions. A qualitative analysis has been performed to determine the stability of the various equilibria. The Hopf bifurcation occurs near the positive equilibrium when the time delay passes some critical values. By applying the normal form theory and the center manifold reduction for functional differential equations, explicit formulae presenting stability properties of bifurcating periodic solutions have been computed. Moreover, the intra-specific competition has played an important role in establishing the maturity stage in the innovation diffusion model. Numerical analysis has been carried out to justify the correctness of our analytical findings.

本文提出了一种涉及非采用者群体和采用者群体相互作用的非线性修正Bass模型来描述存在评估期(时滞)的新技术扩散过程。其基本目的是模拟那些需要较高投资和需要政府补贴在各种市场推广的技术的扩散。我们使用政府激励措施和外部因素形式的成本，以及内部口碑，这些因素对不采纳者的决定有很大影响。进行了定性分析，以确定各种平衡的稳定性。当时滞超过某一临界值时，Hopf分岔发生在正平衡点附近。应用泛函微分方程的范式理论和中心流形约简，得到了具有分岔周期解稳定性的显式公式。此外，在创新扩散模型中，种内竞争对成熟度阶段的建立起了重要作用。数值分析已经进行，以证明我们的分析结果的正确性。

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引用次数: 6

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators 使用Marichev-Saigo-Maeda算子的广义p-k-Mittag-Leffler函数的分数阶演算

Q2 Mathematics

Arab Journal of Mathematical Sciences

Pub Date : 2019-07-01 Epub Date: 2019-05-24 DOI: 10.1016/j.ajmsc.2019.05.003

M. Kamarujjama, N.U. Khan, Owais Khan

In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results.

本文利用Marichev-Saigo-Maeda型分数积分和导数算子，建立了涉及广义p-k-Mittag-Leffler函数的分数积分和导数公式。通过考虑广义p-k-Mittag-Leffler函数的特定参数值，我们还考虑了一些推导结果的特殊情况，给出了我们主要结果的应用。

引用次数: 5

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