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Bulletin of the Korean Mathematical Society最新文献

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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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190247
A. MORADZADEH-DEHKORDI
{"title":"SOME NEW CHARACTERIZATIONS OF QUASI-FROBENIUS RINGS BY USING PURE-INJECTIVITY","authors":"A. MORADZADEH-DEHKORDI","doi":"10.4134/BKMS.B190247","DOIUrl":"https://doi.org/10.4134/BKMS.B190247","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"371-381"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70361499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190342
R. Xiong
{"title":"EXACT FORMULA FOR JACOBI-EISENSTEIN SERIES OF SQUARE FREE DISCRIMINANT LATTICE INDEX","authors":"R. Xiong","doi":"10.4134/BKMS.B190342","DOIUrl":"https://doi.org/10.4134/BKMS.B190342","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"481-488"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70362007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190316
Jin Hong Kim
{"title":"ON THE ACTIONS OF HIGMAN-THOMPSON GROUPS BY HOMEOMORPHISMS","authors":"Jin Hong Kim","doi":"10.4134/BKMS.B190316","DOIUrl":"https://doi.org/10.4134/BKMS.B190316","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"449-457"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70362311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B191054
Yiwen Cui, Weiliang Xiao
{"title":"GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES","authors":"Yiwen Cui, Weiliang Xiao","doi":"10.4134/BKMS.B191054","DOIUrl":"https://doi.org/10.4134/BKMS.B191054","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"1393-1408"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190165
Iraj Bagheriyeh, K. Bahmanpour, G. Ghasemi
{"title":"A NOTE ON COHOMOLOGICAL DIMENSION OVER COHEN-MACAULAY RINGS","authors":"Iraj Bagheriyeh, K. Bahmanpour, G. Ghasemi","doi":"10.4134/BKMS.B190165","DOIUrl":"https://doi.org/10.4134/BKMS.B190165","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"275-280"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70361089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B180719
J. Cheshmavar, S. Hosseini, Choonkill Park
{"title":"SOME RESULTS ON n-JORDAN HOMOMORPHISMS","authors":"J. Cheshmavar, S. Hosseini, Choonkill Park","doi":"10.4134/BKMS.B180719","DOIUrl":"https://doi.org/10.4134/BKMS.B180719","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"136 1","pages":"31-35"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70359659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190227
Tianlan Chen, Yanqiong Lu, Ruyun Ma
{"title":"NODAL SOLUTIONS FOR AN ELLIPTIC EQUATION IN AN ANNULUS WITHOUT THE SIGNUM CONDITION","authors":"Tianlan Chen, Yanqiong Lu, Ruyun Ma","doi":"10.4134/BKMS.B190227","DOIUrl":"https://doi.org/10.4134/BKMS.B190227","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"331-343"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70361627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190532
Yongming Wen, Huo-xiong Wu, Qingying Xue
{"title":"A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS","authors":"Yongming Wen, Huo-xiong Wu, Qingying Xue","doi":"10.4134/BKMS.B190532","DOIUrl":"https://doi.org/10.4134/BKMS.B190532","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"851-864"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70362502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B180210
LeRoy B. Beasley, K.-T. Kang, S. Song
{"title":"ISOLATION NUMBERS OF INTEGER MATRICES AND THEIR PRESERVERS","authors":"LeRoy B. Beasley, K.-T. Kang, S. Song","doi":"10.4134/BKMS.B180210","DOIUrl":"https://doi.org/10.4134/BKMS.B180210","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"535-545"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70359262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/BKMS.B190207
H. Liang, Jianjun Zhou
{"title":"INFINITE HORIZON OPTIMAL CONTROL PROBLEMS OF BACKWARD STOCHASTIC DELAY DIFFERENTIAL EQUATIONS IN HILBERT SPACES","authors":"H. Liang, Jianjun Zhou","doi":"10.4134/BKMS.B190207","DOIUrl":"https://doi.org/10.4134/BKMS.B190207","url":null,"abstract":"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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"311-330"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70361567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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