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On Fuzzy Primary and Fuzzy Quasi-Primary Ideals in LASemigroups 关于半群中的模糊初等和模糊拟初等理想
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-08-01 DOI: 10.46793/kgjmat2204.617y
P. Yiarayong
The purpose of this paper is to introduce the notion of a weakly fuzzy quasi-primary ideals in LA-semigroups, we study fuzzy primary, fuzzy quasi-primary, fuzzy completely primary, weakly fuzzy primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Some characterizations of weakly fuzzy primary and weakly fuzzy quasi-primary ideals are obtained. Moreover, we investigate relationships between fuzzy completely primary and weakly fuzzy quasi-primary ideals in LAsemigroups. Finally we show that a fuzzy left ideal f is a weakly fuzzy quasi-primary ideal of S2 if and only if S1 × f is a weakly fuzzy quasi-primary ideal of S1 × S2.
本文的目的是在LA半群中引入弱模糊拟初等理想的概念,研究LA半群的模糊初等、模糊拟初等、模糊完全初等、弱模糊初等和弱模糊拟初级理想。得到了弱模糊初理想和弱模糊拟初理想的一些性质。此外,我们还研究了LA半群中模糊完全初等理想和弱模糊拟初等理想之间的关系。最后我们证明了模糊左理想f是S2的弱模糊拟初理想当且仅当S1×。
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引用次数: 1
BOUNDEDNESS OF L-INDEX IN JOINT VARIABLES FOR SUM OF ENTIRE FUNCTIONS 整个函数和联合变量中l指标的有界性
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-08-01 DOI: 10.46793/kgjmat2204.595b
Andriy Ivanovych Bandura
In the paper, we present sufficient conditions of boundedness of L-index in joint variables for a sum of entire functions, where L : C n → R n + is a continuous function, R+ = (0, +∞). They are applicable to a very wide class of entire functions because for every entire function F in C n with bounded multiplicities of zero points there exists a positive continuous function L such that F has bounded L-index in joint variables. Our propositions are generalizations of Pugh’s result obtained for entire functions of one variable of bounded index.
本文给出了一类完整函数和在联合变量上L指标有界的充分条件,其中L: C n→R n +是连续函数,R+ =(0, +∞)。它们适用于非常广泛的整函数类因为对于C n中的每一个整函数F具有0点的有界多重度存在一个正的连续函数L使得F在联合变量中有界的L指标。我们的命题推广了Pugh关于单变量有界指标全函数的结论。
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引用次数: 1
Two-Dimensional Wavelet with Matrix Dilation M = 2I and its Application in Solving Integral Equations 矩阵展开式M = 2I的二维小波及其在求解积分方程中的应用
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-08-01 DOI: 10.46793/kgjmat2204.649t
M. Tahami, A. A. Hemmat
In this study, using a one-dimensionl MRA we constructed a two-dimensional wavelet as well as four masks which are not related to the MRA. Finally, we provide some examples to prove the applicability of our construction in case of finding numerical solution of two-dimensional first kind Fredholm integral equations.
在本研究中,我们使用一维MRA构造了一个二维小波和四个与MRA无关的掩模。最后,我们给出了一些例子来证明我们的构造对于二维第一类Fredholm积分方程的数值解的适用性。
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引用次数: 0
On the Enumeration of the Set of Elementary Numerical Semigroups with Fixed Multiplicity, Frobenius Number or Genus 关于具有固定乘法、Frobenius数或亏格的初等数值半群集的计数
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.433r
J. Rosales, M. Branco
In this paper we give algorithms that allow to compute the set of every elementary numerical semigroups with given genus, Frobenius number and multiplicity. As a consequence we obtain formulas for the cardinality of these sets.
本文给出了计算具有给定亏格、Frobenius数和重数的每个初等数值半群的集合的算法。因此,我们得到了这些集合的基数的公式。
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引用次数: 6
On The Reverse Minkowski’s Integral Inequality 关于逆闵可夫斯基积分不等式
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.407b
B. Benaissa
The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p < 0, respectively.
本文的目的是得到逆Minkowski积分不等式。为此,我们首先给出了一个对我们的主要结果很重要的命题。然后,我们分别对参数0
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引用次数: 4
Chaos and Shadowing in General Systems 一般系统中的混沌与阴影
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.383n
M. F. Nia, A. Z. Bahabadi
In this paper we describe some basic notions of topological dynamical systems for maps of type f : X × X → X named general systems. This is proved that every uniformly expansive general system has the shadowing property and every uniformly contractive general system has the (asymptotic) average shadowing and shadowing properties. In the rest, Devaney chaos for general systems is considered. Also, we show that topological transitivity and density of periodic points of a general systems imply topological ergodicity. We also obtain some results on the topological mixing and sensitivity for general systems.
本文描述了f:X×X型映射的拓扑动力系统的一些基本概念→ X命名的通用系统。证明了每一个一致扩张广义系统都具有遮蔽性,每一个均匀收缩广义系统都有(渐近)平均遮蔽性和遮蔽性。在其余部分中,考虑了一般系统的Devaney混沌。此外,我们还证明了一般系统的拓扑传递性和周期点的密度暗示了拓扑遍历性。我们还得到了关于一般系统的拓扑混合和灵敏度的一些结果。
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引用次数: 0
Hypergroups Defined on Hypergraphs and their Regular Relations 在超图上定义的超群及其正则关系
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.487t
M. Al-Tahan, B. Davvaz
The notion of hypergraphs, introduced around 1960, is a generalization of that of graphs and one of the initial concerns was to extend some classical results of graph theory. In this paper, we present some connections between hypergraph theory and hypergroup theory. In this regard, we construct two hypergroupoids by defining two new hyperoperations on ℍ, the set of all hypergraphs. We prove that our defined hypergroupoids are commutative hypergroups and we define hyperrings on ℍ by using the two defined hyperoperations. Moreover, we study the fundamental group, complete parts, automorphism group and strongly regular relations of one of our hypergroups.
超图的概念于1960年左右引入,是图的概念的推广,最初的关注点之一是扩展图论的一些经典结果。在本文中,我们提出了超图理论和超群理论之间的一些联系。在这方面,我们通过定义上的两个新的超运算来构造两个超群ℍ, 所有超图的集合。我们证明了我们定义的超群是交换超群,并且我们定义了上的超环ℍ 通过使用两种定义的超手术。此外,我们还研究了一个超群的基群、完备部分、自同构群和强正则关系。
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引用次数: 2
An Operational Approach to the Generalized Rencontres Polynomials 广义Rencontres多项式的一种运算方法
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.461m
E. Munarini
In this paper, we study the umbral operators J, M and N associated with the generalized rencontres polynomials D(m) n (x). We obtain their representations in terms of the differential operator Dx and the shift operator E. Then, by using these representations, we obtain some combinatorial and differential identities for the generalized rencontres polynomials. Finally, we extend these results to some related polynomials and, in particular, to the generalized permutation polynomials P(m)n (x) and the generalized arrangement polynomials A(m)n (x).
本文研究了与广义规划多项式D(M)N(x)相关的本影算子J、M和N。我们得到了它们在微分算子Dx和移位算子E方面的表示。然后,通过使用这些表示,我们得到了广义rencontres多项式的一些组合恒等式和微分恒等式。最后,我们将这些结果推广到一些相关的多项式,特别是推广到广义排列多项式P(m)n(x)和广义排列多项式A(m)n(x)。
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引用次数: 2
Existence and Stability of Nonlocal Initial Value Problems Involving Generalized Katugampola Derivative 涉及广义Katugampola导数的非局部初值问题的存在性与稳定性
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.443b
A. Bagwan, D. Pachpatte
In this paper, the existence results for the solutions to nonlocal initial value problems involving generalized Katugampola derivative are established. Some fixed point theorem techniques are used to derive the existence results. In the sequel, we investigate the generalized Ulam-Hyers-Rassias stability corresponding to our problem. Some examples are given to illustrate our main results.
本文给出了广义Katugampola导数的非局部初值问题解的存在性结果。一些不动点定理技术被用来推导存在性结果。在续篇中,我们研究了与我们的问题相对应的广义Ulam-Hiers-Rassias稳定性。举例说明了我们的主要结果。
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引用次数: 0
SPECTRA OF THE LOWER TRIANGULAR MATRIX B(r1, . . . , rl ; s1, . . . , sl ′) OVER c0 c0上下三角矩阵B(r1,…,rl;s1,…,sl′)的谱
IF 0.7 Q1 MATHEMATICS Pub Date : 2022-06-01 DOI: 10.46793/kgjmat2203.369m
Sanjay Kumar Mahto, A. Patra, P. Srivastava
The inĄnite lower triangular matrix B(r1, . . . , rl ; s1, . . . , sl ′ ) is considered over the sequence space c0, where l and l ′ are positive integers. The diagonal and sub-diagonal entries of the matrix consist of the oscillatory sequences r = (rk(mod l)+1) and s = (sk(mod l ′)+1), respectively. The rest of the entries of the matrix are zero. It is shown that the matrix represents a bounded linear operator. Then the spectrum of the matrix is evaluated and partitioned into its Ąne structures: point spectrum, continuous spectrum, residual spectrum, etc. In particular, the spectra of the matrix B(r1, . . . , r4; s1, . . . , s6) are determined. Finally, an example is taken in support of the results
inĄnite下三角矩阵B(r1,…), r;1、……, sl ')考虑在序列空间c0上,其中l和l '是正整数。矩阵的对角项和次对角项分别由振荡序列r = (rk(mod l)+1)和s = (sk(mod l ')+1)组成。矩阵中其余的元素都是零。证明了该矩阵表示一个有界线性算子。然后对矩阵的谱进行评估,并将其划分为Ąne结构:点谱、连续谱、残差谱等。特别地,矩阵B(r1,…)的谱。r4;1、……(6)是确定的。最后,通过算例验证了本文的研究结果
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引用次数: 0
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Kragujevac Journal of Mathematics
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