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Colloquium Mathematicum最新文献

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On a remark of Cooper, Lam and Ye 古柏、林和叶的一句话
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8744-1-2022
Huatong Chen, Dongxi Ye, Miaodan Yuan
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引用次数: 1
A simple proof of the real Riesz–Thorin interpolation theorem in the lower triangle 下三角形中Riesz-Thorin插值定理的一个简单证明
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8942-10-2022
L. Maligranda
{"title":"A simple proof of the real Riesz–Thorin interpolation theorem in the lower triangle","authors":"L. Maligranda","doi":"10.4064/cm8942-10-2022","DOIUrl":"https://doi.org/10.4064/cm8942-10-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70144390","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
An improvement of the pinned distance set problemin even dimensions 偶维固定距离设置问题的改进
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8632-10-2021
Zijian Wang, Jiqiang Zheng
{"title":"An improvement of the pinned distance set problem\u0000in even dimensions","authors":"Zijian Wang, Jiqiang Zheng","doi":"10.4064/cm8632-10-2021","DOIUrl":"https://doi.org/10.4064/cm8632-10-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70141836","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
Bijective 1-cocycles, braces, and non-commutative prime factorization 双射1-环，大括号和非交换质因数分解
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8684-2-2022
W. Rump
{"title":"Bijective 1-cocycles, braces, and non-commutative prime factorization","authors":"W. Rump","doi":"10.4064/cm8684-2-2022","DOIUrl":"https://doi.org/10.4064/cm8684-2-2022","url":null,"abstract":"Summary: The structure group of an involutive set-theoretic solution to the Yang-Baxter equation is a generalized radical ring called a brace . The concept of brace is extended to that of a quasiring where the adjoint group is just a monoid. It is proved that a special class of lattice-ordered quasirings characterizes the divisor group A of a smooth non-commutative curve X . The multiplicative monoid A ◦ of A is related to the additive group by a bijective 1-cocycle. Extending previous results on non-commutative arithmetic, the elements of A are represented as a class Φ ( X ) of self-maps of a universal cover of X . For affine subsets U of X , the regular functions on U form a hereditary order such that the monoid of fractional ideals embeds into A ◦ as the class of monotone functions in Φ ( U ) . The unit group of A is identified with the annular symmetric group , which occurred in connection with quasi-Garside groups of Euclidean type. The main part of the paper is self-contained and provides a quick approach to non-commutative prime factorization and its relationship to braces.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70142180","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
Rigidity of critical metrics for quadratic curvature functions on closed Riemannian manifolds 闭黎曼流形上二次曲率函数临界度量的刚性
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8236-6-2021
B. Ma, Guangyue Huang
{"title":"Rigidity of critical metrics for quadratic curvature functions on closed Riemannian manifolds","authors":"B. Ma, Guangyue Huang","doi":"10.4064/cm8236-6-2021","DOIUrl":"https://doi.org/10.4064/cm8236-6-2021","url":null,"abstract":". We study rigidity of critical metrics for quadratic curvature functions F t,s ( g ) involving the scalar curvature, the Ricci curvature and the Riemannian curvature tensor. In particular, when s = 0 , we give new characterizations by pointwise inequali-ties involving the Weyl curvature and the traceless Ricci tensor for critical metrics with divergence-free Cotton tensor. We also provide a few rigidity results for locally conformally flat critical metrics. Secondary 53C21.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70137016","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
Pseudo-homotopies between maps ong-growth hyperspaces of continua 连续体长超空间映射间的伪同伦
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8254-7-2021
F. Capulín, E. Castañeda-Alvarado, L. Juárez-Villa, David Maya
{"title":"Pseudo-homotopies between maps on\u0000g-growth hyperspaces of continua","authors":"F. Capulín, E. Castañeda-Alvarado, L. Juárez-Villa, David Maya","doi":"10.4064/cm8254-7-2021","DOIUrl":"https://doi.org/10.4064/cm8254-7-2021","url":null,"abstract":". We introduce the concept of g-growth hyperspace: if X is a continuum, then a non-empty subset H of 2 X is a g-growth hyperspace of X provided that if A is a subcontinuum of 2 X and A∩H (cid:54) = ∅ , then (cid:83) A ∈ H . We study pseudo-homotopies between maps of hyperspaces of continua. As a consequence, we show that pseudo-contractibility and contractibility are equivalent in g-growth hyperspaces.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70137077","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 remark on Zolotarev’s theorem 关于左罗塔列夫定理的注解
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8738-7-2022
Chaoling Huang, H. Pan
{"title":"A remark on Zolotarev’s theorem","authors":"Chaoling Huang, H. Pan","doi":"10.4064/cm8738-7-2022","DOIUrl":"https://doi.org/10.4064/cm8738-7-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70143044","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
On a certain determinant for a U.F.D. 对不明飞行物的判定
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8722-1-2022
Guangyan Zhu
{"title":"On a certain determinant for a U.F.D.","authors":"Guangyan Zhu","doi":"10.4064/cm8722-1-2022","DOIUrl":"https://doi.org/10.4064/cm8722-1-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70142669","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 an old theorem of Erdős about ambiguous locus 关于二义轨迹的一个旧定理Erdős
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8460-9-2021
P. Hajłasz
{"title":"On an old theorem of Erdős about ambiguous locus","authors":"P. Hajłasz","doi":"10.4064/cm8460-9-2021","DOIUrl":"https://doi.org/10.4064/cm8460-9-2021","url":null,"abstract":". Erdős proved in 1946 that if a set E ⊂ R n is closed and non-empty, then the set, called ambiguous locus or medial axis, of points in R n with the property that the nearest point in E is not unique, can be covered by countably many surfaces, each of finite ( n − 1) -dimensional measure. We improve the result by obtaining a new regularity result for these surfaces in terms of convexity and C 2 regularity.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70140735","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: 6
On exponential morphisms over commutative rings 交换环上的指数态射
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-01-01 DOI: 10.4064/cm8529-8-2021
M'hammed El Kahoui, Aziza Hammi
{"title":"On exponential morphisms over commutative rings","authors":"M'hammed El Kahoui, Aziza Hammi","doi":"10.4064/cm8529-8-2021","DOIUrl":"https://doi.org/10.4064/cm8529-8-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70141421","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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