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Colloquium Mathematicum最新文献

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Absolutely small solutions to ahyperelliptic congruence 非超椭圆同余的绝对小解
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8340-3-2021
M. Skalba
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引用次数: 0
Existence and uniqueness of steady weak solutions to the non-Newtonian fluids in $mathbb R^d$ $mathbb R^d$中非牛顿流体稳定弱解的存在唯一性
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8361-3-2021
Jiaqi Yang
{"title":"Existence and uniqueness of steady weak solutions to the non-Newtonian fluids in $mathbb R^d$","authors":"Jiaqi Yang","doi":"10.4064/cm8361-3-2021","DOIUrl":"https://doi.org/10.4064/cm8361-3-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70138823","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
Classification of multiplicative Lie algebra structures on a finite group 有限群上乘法李代数结构的分类
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8397-12-2020
Mani Shankar Pandey, S. Upadhyay
{"title":"Classification of multiplicative Lie algebra structures on a finite group","authors":"Mani Shankar Pandey, S. Upadhyay","doi":"10.4064/cm8397-12-2020","DOIUrl":"https://doi.org/10.4064/cm8397-12-2020","url":null,"abstract":". Every multiplicative Lie algebra structure on a group G determines a group homomorphism from the exterior square G ∧ G to G . We give a precise character-ization of the group homomorphisms G ∧ G → G which determine a multiplicative Lie algebra structure on G . For certain finite groups, we determine the number of possible images (up to isomorphism) of such structure-defining maps.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"57 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70139417","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
Products of quadratic residuesand related identities 二次残差的乘积及相关恒等式
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/CM8437-2-2021
Hai-Liang Wu, LI-YUAN Wang
{"title":"Products of quadratic residues\u0000and related identities","authors":"Hai-Liang Wu, LI-YUAN Wang","doi":"10.4064/CM8437-2-2021","DOIUrl":"https://doi.org/10.4064/CM8437-2-2021","url":null,"abstract":". We study products of quadratic residues modulo odd primes and prove some identities involving quadratic residues. For instance, let p be an odd prime. We prove that if p ≡ 5 (mod 8) , then where (cid:0) · p (cid:1) is the Legendre symbol and r is the number of 4 th power residues modulo p in the interval (0 , p/ 2) . Our work involves the class number formula, quartic Gauss sums, Stickelberger’s congruence and values of Dirichlet L-series at negative integers.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70140633","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
Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space 沉浸在反德西特空间中的完全线性Weingarten类空间子流形
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm7941-5-2020
H. Lima
{"title":"Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space","authors":"H. Lima","doi":"10.4064/cm7941-5-2020","DOIUrl":"https://doi.org/10.4064/cm7941-5-2020","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"165 1","pages":"117-130"},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70132500","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
Einstein–Weyl structures on real hypersurfaces of complex two-plane Grassmannians 复两平面格拉斯曼函数实超曲面上的Einstein-Weyl结构
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/CM7922-8-2020
Xiaomin Chen
{"title":"Einstein–Weyl structures on real hypersurfaces of complex two-plane Grassmannians","authors":"Xiaomin Chen","doi":"10.4064/CM7922-8-2020","DOIUrl":"https://doi.org/10.4064/CM7922-8-2020","url":null,"abstract":". We study real Hopf hypersurfaces with Einstein–Weyl structures in the complex two-plane Grassmannian G 2 ( C m +2 ) , m ≥ 3 . First we prove that a real Hopf hypersurface with a closed Einstein–Weyl structure W = ( g, θ ) is of type (B) if ∇ ξ θ = 0 , where ξ denotes the Reeb vector field of the hypersurface. Next, for a Hopf hypersurface with non-vanishing geodesic Reeb flow, we prove that there does not exist an Einstein– Weyl structure W = ( g, kη ) , where k is a non-zero constant and η is a one-form dual to ξ . Finally, it is proved that a real Hopf hypersurface with two closed Einstein–Weyl structures W ± = ( g, ± θ ) is of type (A) or type (B). ,","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70132752","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
On the Abhyankar–Moh irreducibility criterion for quasi-ordinary polynomials 拟普通多项式的Abhyankar-Moh不可约准则
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8116-2-2020
B. Gryszka, J. Gwozdziewicz
{"title":"On the Abhyankar–Moh irreducibility criterion for quasi-ordinary polynomials","authors":"B. Gryszka, J. Gwozdziewicz","doi":"10.4064/cm8116-2-2020","DOIUrl":"https://doi.org/10.4064/cm8116-2-2020","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"164 1","pages":"149-160"},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70134599","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
Tilting bundles for weighted projective lines of weight type $(p,q)$ 权重类型为$(p,q)$的加权投影线的倾斜束
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm7905-9-2019
Xiaofeng Zhang
{"title":"Tilting bundles for weighted projective lines of weight type $(p,q)$","authors":"Xiaofeng Zhang","doi":"10.4064/cm7905-9-2019","DOIUrl":"https://doi.org/10.4064/cm7905-9-2019","url":null,"abstract":". We give a combinatorial description of tilting bundles in the category of coherent sheaves over the weighted projective line of type ( p, q ) . We define a set of admissible paths in the rectangular area D ( p,q ) = [1 , p − 1] × [1 , q − 1] , and show that there is a bijection between the fundamental tilting bundles and the admissible paths in D ( p,q ) .","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70139603","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
On the algebraic sum of a perfect set and a large subset of the reals 关于一个完全集合和一个实数大子集的代数和
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm7845-4-2020
T. Weiss
{"title":"On the algebraic sum of a perfect set and a large subset of the reals","authors":"T. Weiss","doi":"10.4064/cm7845-4-2020","DOIUrl":"https://doi.org/10.4064/cm7845-4-2020","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"165 1","pages":"97-101"},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70131863","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
Topological entropy, upper Carath 拓扑熵，上卡拉斯
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8017-12-2019
A. Biś, D. Dikranjan, A. Bruno, L. Stoyanov
{"title":"Topological entropy, upper Carath","authors":"A. Biś, D. Dikranjan, A. Bruno, L. Stoyanov","doi":"10.4064/cm8017-12-2019","DOIUrl":"https://doi.org/10.4064/cm8017-12-2019","url":null,"abstract":". We study dynamical systems given by the action T : G × X → X of a finitely generated semigroup G with identity 1 on a compact metric space X by continuous selfmaps and with T (1 , − ) = id X . For any finite generating set G 1 of G containing 1 , the receptive topological entropy of G 1 (in the sense of Ghys et al. (1988) and Hofmann and Stoyanov (1995)) is shown to coincide with the limit of upper capacities of dynamically defined Carathéodory structures on X depending on G 1 , and a similar result holds true for the classical topological entropy when G is amenable. Moreover, the receptive topological entropy and the topological entropy of G 1 are lower bounded by respective generalizations of Katok’s δ -measure entropy, for δ ∈ (0 , 1) . In the case when T ( g, − ) is a locally expanding selfmap of X for every g ∈ G { 1 } , we show that the receptive topological entropy of G 1 dominates the Hausdorff dimension of X modulo a factor log λ determined by the expanding coefficients of the elements of { T ( g, − ): g ∈ G 1 { 1 }} .","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70133823","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: 7
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