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Bulletin of the Korean Mathematical Society最新文献

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$mathcal{F}_{mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $mathcal{F}_{mathcal{S}}$-MITTAG-LEFFLER MODULES $mathcal{F}_{mathcal{S}}$-MITTAG-LEFFLER模块和相对于$mathcal{F}_{mathcal{S}}$-MITTAG-LEFFLER模块的全局尺寸
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180740
Mingzhao Chen, Fanggui Wang
{"title":"$mathcal{F}_{mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $mathcal{F}_{mathcal{S}}$-MITTAG-LEFFLER MODULES","authors":"Mingzhao Chen, Fanggui Wang","doi":"10.4134/BKMS.B180740","DOIUrl":"https://doi.org/10.4134/BKMS.B180740","url":null,"abstract":"","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"38 1","pages":"961-976"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70360415","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
τ w -LOEWY MODULES AND THEIR APPLICATIONS w -LOEWY模组及其应用
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B190049
Hwankoo Kim, J. Lim, D. Zhou
{"title":"τ w -LOEWY MODULES AND THEIR APPLICATIONS","authors":"Hwankoo Kim, J. Lim, D. Zhou","doi":"10.4134/BKMS.B190049","DOIUrl":"https://doi.org/10.4134/BKMS.B190049","url":null,"abstract":"In this paper, we study a theory for the structure of τwLoewy series of modules over commutative rings, where τw is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between τw-Loewy modules and w-Artinian modules.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"1617-1642"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70361400","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
IMPROVING THE POCKLINGTON AND PADRÓ-SÁEZ CUBE ROOT ALGORITHM 改进pocklington和padrÓ-sÁez立方根算法
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B160769
Gook Hwa Cho, Hyang-Sook Lee
{"title":"IMPROVING THE POCKLINGTON AND PADRÓ-SÁEZ CUBE ROOT ALGORITHM","authors":"Gook Hwa Cho, Hyang-Sook Lee","doi":"10.4134/BKMS.B160769","DOIUrl":"https://doi.org/10.4134/BKMS.B160769","url":null,"abstract":"In this paper, we present a cube root algorithm using a recurrence relation. Additionally, we compare the implementations of the Pocklington and Padró-Sáez algorithm with the Adleman-Manders-Miller algorithm. With the recurrence relations, we improve the Pocklington and Padró-Sáez algorithm by using a smaller base for exponentiation. Our method can reduce the average number of Fq multiplications.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"7 1","pages":"277-283"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70356703","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
MEROMORPHIC FUNCTIONS SHARING 1CM+1IM CONCERNING PERIODICITIES AND SHIFTS 关于周期性和移位的共享1cm + 1im的亚纯函数
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180076
Xiaoshan Cai, Jun-Fan Chen
{"title":"MEROMORPHIC FUNCTIONS SHARING 1CM+1IM CONCERNING PERIODICITIES AND SHIFTS","authors":"Xiaoshan Cai, Jun-Fan Chen","doi":"10.4134/BKMS.B180076","DOIUrl":"https://doi.org/10.4134/BKMS.B180076","url":null,"abstract":". The aim of this paper is to investigate the problems of meromorphic functions sharing values concerning periodicities and shifts. In this paper we prove the following result: Let f ( z ) and g ( z ) be two nonconstant entire functions, let c ∈ C { 0 } , and let a 1 , a 2 be two distinct finite complex numbers. Suppose that µ ( f ) (cid:54) = 1, ρ 2 ( f ) < 1, and f ( z ) = f ( z + c ) for all z ∈ C . If f ( z ) and g ( z ) share a 1 CM, a 2 IM, then f ( z ) ≡ g ( z ). Moreover, examples are given to show that all the conditions are neces-sary.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"45-56"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70359095","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
MILD SOLUTIONS FOR THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM 相对论性vlasov-klein-gordon系统的温和解
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.b181077
Meixia Xiao, Xianwen Zhang
{"title":"MILD SOLUTIONS FOR THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM","authors":"Meixia Xiao, Xianwen Zhang","doi":"10.4134/BKMS.b181077","DOIUrl":"https://doi.org/10.4134/BKMS.b181077","url":null,"abstract":"In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined with KleinGordon equation. Without any assumption of continuity or compact support of any initial particle density f0, we prove the existence and uniqueness of the mild solution via the iteration method.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"1447-1465"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70360755","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 strongly Gorenstein hereditary rings 在强戈伦斯坦遗传环上
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180249
Kui Hu, Hwankoo Kim, Fanggui Wang, Longyu Xu, D. Zhou
{"title":"On strongly Gorenstein hereditary rings","authors":"Kui Hu, Hwankoo Kim, Fanggui Wang, Longyu Xu, D. Zhou","doi":"10.4134/BKMS.B180249","DOIUrl":"https://doi.org/10.4134/BKMS.B180249","url":null,"abstract":"","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"373-382"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70359319","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: 2
The $k$-golden mean of two positive numbers and its applications 两个正数的k黄金平均数及其应用
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180385
Jinwon Choi, Young Ho Kim
{"title":"The $k$-golden mean of two positive numbers and its applications","authors":"Jinwon Choi, Young Ho Kim","doi":"10.4134/BKMS.B180385","DOIUrl":"https://doi.org/10.4134/BKMS.B180385","url":null,"abstract":"In this paper, we define a mean of two positive numbers called the k-golden mean and study some properties of it. Especially, we show that the 2-golden mean refines the harmonic and the geometric means. As an application, we define the k-golden ratio and give some properties of it as an generalization of the golden ratio. Furthermore, we define the matrix k-golden mean of two positive-definite matrices and give some properties of it. This is an improvement of Lim’s results [2] for which the matrix golden mean.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"521-533"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70359373","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
MITTAG-LEFFLER STABILITY OF SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS 分数阶nabla差分方程系统的Mittag-leffler稳定性
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180749
P. Eloe, J. Jonnalagadda
{"title":"MITTAG-LEFFLER STABILITY OF SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS","authors":"P. Eloe, J. Jonnalagadda","doi":"10.4134/BKMS.B180749","DOIUrl":"https://doi.org/10.4134/BKMS.B180749","url":null,"abstract":"Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler stability of, and in some cases the stability of, the zero solution of a system nonlinear fractional nabla difference equations. For this purpose, we obtain several properties of the exponential and one parameter Mittag-Leffler functions of fractional nabla calculus. Two examples are provided to illustrate the applicability of established results.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"977-992"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70360024","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: 11
TOTAL DOMINATION NUMBER OF CENTRAL GRAPHS 中心图的总支配数
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180891
Farshad Kazemnejad, S. Moradi
{"title":"TOTAL DOMINATION NUMBER OF CENTRAL GRAPHS","authors":"Farshad Kazemnejad, S. Moradi","doi":"10.4134/BKMS.B180891","DOIUrl":"https://doi.org/10.4134/BKMS.B180891","url":null,"abstract":"Let G be a graph with no isolated vertex. A total dominating set, abbreviated TDS of G is a subset S of vertices of G such that every vertex of G is adjacent to a vertex in S. The total domination number of G is the minimum cardinality of a TDS of G. In this paper, we study the total domination number of central graphs. Indeed, we obtain some tight bounds for the total domination number of a central graph C(G) in terms of some invariants of the graph G. Also we characterize the total domination number of the central graph of some families of graphs such as path graphs, cycle graphs, wheel graphs, complete graphs and complete multipartite graphs, explicitly. Moreover, some Nordhaus-Gaddum-like relations are presented for the total domination number of central graphs.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"1059-1075"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70360108","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: 5
DOUBLE COVERS OF PLANE CURVES OF DEGREE SIX WITH ALMOST TOTAL FLEXES 具有几乎全挠度的六次平面曲线的双盖
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/BKMS.B180915
S. Kim, J. Komeda
{"title":"DOUBLE COVERS OF PLANE CURVES OF DEGREE SIX WITH ALMOST TOTAL FLEXES","authors":"S. Kim, J. Komeda","doi":"10.4134/BKMS.B180915","DOIUrl":"https://doi.org/10.4134/BKMS.B180915","url":null,"abstract":"In this paper, we study plane curves of degree 6 with points whose multiplicities of the tangents are 5. We determine all the Weierstrass semigroups of ramification points on double covers of the plane curves when the genera of the covering curves are greater than 29 and the ramification points are on the points with multiplicity 5 of the tan-","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"1159-1186"},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70360207","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
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