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SOME NEW CHARACTERIZATIONS OF QUASI-FROBENIUS RINGS BY USING PURE-INJECTIVITY 用纯注入性描述拟frobenius环
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190247
A. MORADZADEH-DEHKORDI
A ring R is called right pure-injective if it is injective with respect to pure exact sequences. According to a well known result of L. Melkersson, every commutative Artinian ring is pure-injective, but the converse is not true, even if R is a commutative Noetherian local ring. In this paper, a series of conditions under which right pure-injective rings are either right Artinian rings or quasi-Frobenius rings are given. Also, some of our results extend previously known results for quasi-Frobenius rings.
如果环R对纯精确序列是单射的,则称其为右纯单射。根据L. Melkersson的一个众所周知的结果,每个可交换的Artinian环都是纯内射的,但即使R是一个可交换的noether局部环,其逆也不成立。本文给出了右纯注入环是右Artinian环或拟frobenius环的一系列条件。此外,我们的一些结果扩展了先前已知的准frobenius环的结果。
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引用次数: 0
EXACT FORMULA FOR JACOBI-EISENSTEIN SERIES OF SQUARE FREE DISCRIMINANT LATTICE INDEX 平方自由判别格指标的雅可比-爱森斯坦级数的精确公式
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190342
R. Xiong
In this paper we give an exact formula for the Fourier coefficients of the Jacobi-Eisenstein series of square free discriminant lattice index. For a special case the discriminant of lattice is prime we show that the Jacobi-Eisenstein series corresponds to a well known Eisenstein series of modular forms.
本文给出了Jacobi-Eisenstein级数的平方自由判别格指数的傅里叶系数的精确公式。对于格的判别式为素数的特殊情况,我们证明了雅可比-爱森斯坦级数对应于众所周知的模形式的爱森斯坦级数。
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引用次数: 1
ON THE ACTIONS OF HIGMAN-THOMPSON GROUPS BY HOMEOMORPHISMS 用同胚论higman-thompson群的作用
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190316
Jin Hong Kim
The aim of this short paper is to show some rigidity results for the actions of certain finitely presented groups by homeomorphisms. As an interesting and special case, we show that the actions of HigmanThompson groups by homeomorphisms on a cohomology manifold with a non-zero Euler characteristic should be trivial. This is related to the wellknown Zimmer program and shows that the actions by homeomorphism could be very much different from those by diffeomorphisms.
本文的目的是通过同胚给出有限表示群作用的一些刚性结果。作为一个有趣的特例,我们证明了HigmanThompson群在具有非零欧拉特征的上同态流形上的作用是平凡的。这与著名的齐默程序有关,并表明同胚的作用可能与异胚的作用有很大的不同。
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引用次数: 0
GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES fourier-besov空间中分数阶debye-hÜckel系统的Gevrey正则性和时间衰减
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B191054
Yiwen Cui, Weiliang Xiao
In this paper we mainly study existence and regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type with small initial data in Fourier-Besov spaces. To be more detailed, we will explain that global-in-time mild solutions are well-posed and Gevrey regular by means of multilinear singular integrals and Fourier localization argument. Furthermore, we can get time decay rate estimate of mild solutions in Fourier-Besov spaces.
本文主要研究了Fourier-Besov空间中具有小初始数据的漂移-扩散型抛物-椭圆型系统温和解的存在性和正则性。为了更详细地说明,我们将利用多线性奇异积分和傅立叶局部化论证来解释全局实时温和解是适定的和Gevrey正则的。进一步,我们得到了Fourier-Besov空间中温和解的时间衰减率估计。
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引用次数: 0
A NOTE ON COHOMOLOGICAL DIMENSION OVER COHEN-MACAULAY RINGS cohen-macaulay环上的上同调维数
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190165
Iraj Bagheriyeh, K. Bahmanpour, G. Ghasemi
Let (R,m) be a Noetherian local Cohen-Macaulay ring and I be a proper ideal of R. Assume that βR(I, R) denotes the constant value of depthR(R/I n) for n 0. In this paper we introduce the new notion γR(I, R) and then we prove the following inequalities: βR(I, R) ≤ γR(I, R) ≤ dimR− cd(I, R) ≤ dimR/I. Also, some applications of these inequalities will be included.
设(R,m)为noether局部Cohen-Macaulay环,I为R的真理想,设βR(I, R)表示深度R(R/I n)在n 0时的常数值。本文引入了新概念γR(I, R),并证明了以下不等式:βR(I, R)≤γR(I, R)≤dimR - cd(I, R)≤dimR/I。此外,还将包括这些不等式的一些应用。
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引用次数: 0
SOME RESULTS ON n-JORDAN HOMOMORPHISMS 关于n-约当同态的一些结果
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B180719
J. Cheshmavar, S. Hosseini, Choonkill Park
With the motivation to extend the Zelasko’s theorem on commutative algebras, it was shown in [2] that if n ∈ {3, 4} is fixed, A,B are commutative algebras and h : A → B is an n-Jordan homomorphism, then h is an n-ring homomorphism. In this paper, we extend this result for all n ≥ 3.
为了推广交换代数上的Zelasko定理,在[2]中证明了如果n∈{3,4}是固定的,则A,B是交换代数,且h: A→B是n- jordan同态,则h是n环同态。本文将此结果推广到所有n≥3的情况。
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引用次数: 3
NODAL SOLUTIONS FOR AN ELLIPTIC EQUATION IN AN ANNULUS WITHOUT THE SIGNUM CONDITION 无符号环上椭圆型方程的节点解
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190227
Tianlan Chen, Yanqiong Lu, Ruyun Ma
This paper is concerned with the global behavior of components of radial nodal solutions of semilinear elliptic problems −∆v = λh(x, v) in Ω, v = 0 on ∂Ω, where Ω = {x ∈ RN : r1 < |x| < r2} with 0 < r1 < r2, N ≥ 2. The nonlinear term is continuous and satisfies h(x, 0) = h(x, s1(x)) = h(x, s2(x)) = 0 for suitable positive, concave function s1 and negative, convex function s2, as well as sh(x, s) > 0 for s ∈ R {0, s1(x), s2(x)}. Moreover, we give the intervals for the parameter λ which ensure the existence and multiplicity of radial nodal solutions for the above problem. For this, we use global bifurcation techniques to prove our main results.
本文研究了半线性椭圆型问题的径向节点解在Ω中,在∂Ω上v = 0,−∆v = λh(x, v),其中Ω = {x∈RN: r1 < |x| < r2},且0 < r1 < r2, N≥2时的整体行为。非线性项是连续的,满足h(x, 0) = h(x, s1(x)) = h(x, s1(x)) = h(x, s2(x)) = 0,对于合适的正凹函数s1和负凸函数s2,以及对于s∈R {0, s1(x), s2(x)},满足sh(x, s) >。并给出了保证该问题径向节点解存在性和多重性的参数λ的区间。为此,我们使用全局分岔技术来证明我们的主要结果。
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引用次数: 1
A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS 关于多线性伪微分算子和迭代换向子的注解
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190532
Yongming Wen, Huo-xiong Wu, Qingying Xue
This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol σ belonging to the Hörmander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the Cp estimates for the corresponding multilinear pseudo-differential operators are also obtained.
本文给出了符号σ为Hörmander类的多线性伪微分算子的迭代对易子的稀疏支配性,并建立了这类对易子的Bloom型估计的数量界。此外,还得到了相应的多线性伪微分算子的Cp估计。
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引用次数: 1
ISOLATION NUMBERS OF INTEGER MATRICES AND THEIR PRESERVERS 整数矩阵及其保存符的隔离数
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B180210
LeRoy B. Beasley, K.-T. Kang, S. Song
Let A be an m × n matrix over nonnegative integers. The isolation number of A is the maximum number of isolated entries in A. We investigate linear operators that preserve the isolation number of matrices over nonnegative integers. We obtain that T is a linear operator that strongly preserve isolation number k for 1 ≤ k ≤ min{m,n} if and only if T is a (P,Q)-operator, that is, for fixed permutation matrices P and Q, T (A) = PAQ or, m = n and T (A) = PAtQ for any m× n matrix A, where At is the transpose of A.
设A是一个非负整数上的m × n矩阵。A的隔离数是A中隔离项的最大数目。我们研究了在非负整数上保持矩阵隔离数的线性算子。我们得到当且仅当T是一个(P,Q)算子,即对于固定置换矩阵P和Q, T (a) = PAQ或,m = n, T (a) = PAtQ,对于任意mx n矩阵a, T (a) = PAQ,其中At为a的转置时,T是一个强保持隔离数k的线性算子。
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引用次数: 0
INFINITE HORIZON OPTIMAL CONTROL PROBLEMS OF BACKWARD STOCHASTIC DELAY DIFFERENTIAL EQUATIONS IN HILBERT SPACES 希尔伯特空间中倒向随机时滞微分方程的无限视界最优控制问题
IF 0.5 4区 数学 Q3 MATHEMATICS Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190207
H. Liang, Jianjun Zhou
This paper investigates infinite horizon optimal control problems driven by a class of backward stochastic delay differential equations in Hilbert spaces. We first obtain a prior estimate for the solutions of state equations, by which the existence and uniqueness results are proved. Meanwhile, necessary and sufficient conditions for optimal control problems on an infinite horizon are derived by introducing time-advanced stochastic differential equations as adjoint equations. Finally, the theoretical results are applied to a linear-quadratic control problem.
研究了Hilbert空间中由一类后向随机时滞微分方程驱动的无限视界最优控制问题。首先给出了状态方程解的先验估计,并以此证明了状态方程解的存在唯一性。同时,通过引入时间超前随机微分方程作为伴随方程,导出了无限视界上最优控制问题的充分必要条件。最后,将理论结果应用于一个线性二次控制问题。
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引用次数: 1
期刊
Bulletin of the Korean Mathematical Society
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