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Lyubeznik numbers of almost complete intersection and linked ideals 几乎完全交和连接理想的吕别兹尼克数
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021027
Parvaneh Nadi, F. Rahmati
{"title":"Lyubeznik numbers of almost complete intersection and linked ideals","authors":"Parvaneh Nadi, F. Rahmati","doi":"10.32917/h2021027","DOIUrl":"https://doi.org/10.32917/h2021027","url":null,"abstract":"In this work, we examine the Lyubeznik numbers of squarefree monomial ideals that are linked. Also we study these numbers for almost complete intersection ideals.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42292549","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 Gosper’s $Pi_q$ and Lambert series identities 关于Gosper的$Pi_q$和Lambert级数恒等式
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021044
Yathirajsharma Mudumbai Varada, Harshitha Kempaiahnahundi Nanjundegowda, Vasuki Kaliyur Ranganna
{"title":"On Gosper’s $Pi_q$ and Lambert series identities","authors":"Yathirajsharma Mudumbai Varada, Harshitha Kempaiahnahundi Nanjundegowda, Vasuki Kaliyur Ranganna","doi":"10.32917/h2021044","DOIUrl":"https://doi.org/10.32917/h2021044","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42387026","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
Local theory of singularities of three functions and the product maps 三函数奇异性的局部理论与积映射
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021020
Kazuto Takao
{"title":"Local theory of singularities of three functions and the product maps","authors":"Kazuto Takao","doi":"10.32917/h2021020","DOIUrl":"https://doi.org/10.32917/h2021020","url":null,"abstract":"A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43976942","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
${mathbf G}_a$-actions on the affine line over a non-reduced ring ${mathbf G}_a$-在非约简环上的仿射线上的动作
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021011
Motoki Kuroda, S. Kuroda
{"title":"${mathbf G}_a$-actions on the affine line over a non-reduced ring","authors":"Motoki Kuroda, S. Kuroda","doi":"10.32917/h2021011","DOIUrl":"https://doi.org/10.32917/h2021011","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46630844","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
Unperturbed weakly reducible non-minimal bridge positions 无扰动弱可约非极小桥位置
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-01-25 DOI: 10.32917/h2022006
Jung Hoon Lee
{"title":"Unperturbed weakly reducible non-minimal bridge positions","authors":"Jung Hoon Lee","doi":"10.32917/h2022006","DOIUrl":"https://doi.org/10.32917/h2022006","url":null,"abstract":"A bridge position of a knot is said to be perturbed if there exists a cancelling pair of bridge disks. Motivated by the examples of knots admitting unperturbed strongly irreducible non-minimal bridge positions due to Jang-Kobayashi-Ozawa-Takao, we derive examples of unperturbed weakly reducible non-minimal bridge positions. Also, a bridge version of Gordon's Conjecture is proposed: the connected sum of unperturbed bridge positions is unperturbed.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43079401","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 classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups* 幂零李群*上左不变伪黎曼度量的分类
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-12-17 DOI: 10.32917/h2021054
Yuji Kondo
{"title":"A classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups*","authors":"Yuji Kondo","doi":"10.32917/h2021054","DOIUrl":"https://doi.org/10.32917/h2021054","url":null,"abstract":"It is known that a connected and simply-connected Lie group admits only one left-invariant Riemannian metric up to scaling and isometry if and only if it is isomorphic to the Euclidean space, the Lie group of the real hyperbolic space, or the direct product of the three dimensional Heisenberg group and the Euclidean space of dimension n − 3. In this paper, we give a classification of left-invariant pseudo-Riemannian metrics of an arbitrary signature for the third Lie groups with n ≥ 4 up to scaling and automorphisms. This completes the classifications of left-invariant pseudo-Riemannian metrics for the above three Lie groups up to scaling and automorphisms.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44385849","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 relations between complex structures on compact nilmanifolds and flag manifolds 紧零流形与标志流形上复结构的若干关系
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-11-01 DOI: 10.32917/h2020027
Takumi Yamada
{"title":"Some relations between complex structures on compact nilmanifolds and flag manifolds","authors":"Takumi Yamada","doi":"10.32917/h2020027","DOIUrl":"https://doi.org/10.32917/h2020027","url":null,"abstract":"In this paper, we first consider relations between signatures of pseudoKähler metrics on a flag manifold and complex structures on a nilpotent Lie algebra corresponding to the flag manifold. On the nilpotent Lie algebra, we also consider complex structures which do not correspond to invariant complex structures on the flag manifold.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41992206","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
Function spaces induced by two parabolic Bloch spaces 两个抛物型Bloch空间诱导的函数空间
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-11-01 DOI: 10.32917/h2020031
Y. Hishikawa, Masaharu Nishio, Katsunori Shimomura, M. Yamada
{"title":"Function spaces induced by two parabolic Bloch spaces","authors":"Y. Hishikawa, Masaharu Nishio, Katsunori Shimomura, M. Yamada","doi":"10.32917/h2020031","DOIUrl":"https://doi.org/10.32917/h2020031","url":null,"abstract":"We consider function spaces which consist of two parabolic Bloch spaces, and present reproducing formulas. As an application, we introduce Bloch type spaces which consist of solutions of a partial di¤erential equation ðLðaÞÞu 1⁄4 0, and investigate several properties.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43375515","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
Estimates for eigenvalues of weighted Laplacian and weighted $p$-Laplacian 加权拉普拉斯算子和加权p -拉普拉斯算子的特征值估计
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-11-01 DOI: 10.32917/h2020086
Feng Du, Jing Mao, Qiaoling Wang, C. Xia
{"title":"Estimates for eigenvalues of weighted Laplacian and weighted $p$-Laplacian","authors":"Feng Du, Jing Mao, Qiaoling Wang, C. Xia","doi":"10.32917/h2020086","DOIUrl":"https://doi.org/10.32917/h2020086","url":null,"abstract":"A bstract . In this paper, we study two eigenvalue problems of the weighted Laplacian and get the Reilly-type bounds and isoperimetric type bounds for the first nonzero n eigenvalues on hypersurfaces of the Euclidean space. Besides, we give lower bounds for the first eigenvalue of weighted p -Laplacian on submanifolds with locally bounded weighted mean curvature. Meanwhile, several applications of these estimates have also been given.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46068206","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: 4
Locally solvable subnormal and quasinormal subgroups in division rings 除法环上局部可解的次正规和拟正规子群
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-11-01 DOI: 10.32917/h2020034
Le QUİ DANH, Huynh Viet Khanh
{"title":"Locally solvable subnormal and quasinormal subgroups in division rings","authors":"Le QUİ DANH, Huynh Viet Khanh","doi":"10.32917/h2020034","DOIUrl":"https://doi.org/10.32917/h2020034","url":null,"abstract":"Let $D$ be a division ring with center $F$, and $G$ a subnormal or quasinormal subgroup of $D^*$. We show that if $G$ is locally solvable, then $G$ is contained in $F$.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"30 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82339805","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
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