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Intrinsic linking of a simplicial n-complex embedded in (mathbb {R}^{2n}) 内嵌的简单n复合体的内在连接 (mathbb {R}^{2n})
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-08-05 DOI: 10.1007/s00013-026-02279-2
Ryo Nikkuni
{"title":"Intrinsic linking of a simplicial n-complex embedded in (mathbb {R}^{2n})","authors":"Ryo Nikkuni","doi":"10.1007/s00013-026-02279-2","DOIUrl":"10.1007/s00013-026-02279-2","url":null,"abstract":"<div><p>We demonstrate the existence of minimal simplicial <i>n</i>-complexes which inevitably contain a non-splittable two-component link formed by an <span>((n-1))</span>-sphere and an <i>n</i>-sphere in any embedding into <span>(mathbb {R}^{2n})</span>. This provides a higher-dimensional generalization of graphs that are not non-separating planar.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 2","pages":"205 - 214"},"PeriodicalIF":0.6,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148719080","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
Global dimension of a string algebra 弦代数的整体维数
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-29 DOI: 10.1007/s00013-026-02262-x
Zheng Xin, LingChun Zhang
{"title":"Global dimension of a string algebra","authors":"Zheng Xin,&nbsp;LingChun Zhang","doi":"10.1007/s00013-026-02262-x","DOIUrl":"10.1007/s00013-026-02262-x","url":null,"abstract":"<div><p>In this paper, we characterize the global dimension of a string algebra by using combinatorial methods. Moreover, we establish a necessary and sufficient condition for when the global dimension of a string algebra is infinite.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 2","pages":"131 - 141"},"PeriodicalIF":0.6,"publicationDate":"2026-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148719148","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 Kobayashi isometries of a class of 2-dimensional Lempert manifolds 一类二维Lempert流形小林等距的刚性
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-24 DOI: 10.1007/s00013-026-02259-6
Anand Chavan
{"title":"Rigidity of Kobayashi isometries of a class of 2-dimensional Lempert manifolds","authors":"Anand Chavan","doi":"10.1007/s00013-026-02259-6","DOIUrl":"10.1007/s00013-026-02259-6","url":null,"abstract":"<div><p>In this article, we study the Kobayashi isometries of 2-dimensional complex manifolds having a finite Carathéodory universal set. In particular, we prove that the Kobayashi isometries of these complex manifolds are (anti)holomorphic.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 1","pages":"71 - 81"},"PeriodicalIF":0.6,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-026-02259-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The arcsine law on divisors of square-free ideals in short intervals 短间隔内无平方理想除数的反正弦律
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-24 DOI: 10.1007/s00013-026-02266-7
Tingting Wen
{"title":"The arcsine law on divisors of square-free ideals in short intervals","authors":"Tingting Wen","doi":"10.1007/s00013-026-02266-7","DOIUrl":"10.1007/s00013-026-02266-7","url":null,"abstract":"<div><p>Let <i>K</i> be a quadratic field, <span>(mathcal {O}_K)</span> its ring of integers, and <span>(mathfrak {a})</span> a square-free ideal of <span>(mathcal {O}_K)</span>. In this paper, we investigate the distribution of ideals that divide <span>(mathfrak {a})</span> using the Selberg–Delange method. We established that the Cesàro mean of distribution functions converges uniformly to the arcsine law in short intervals. This generalizes the result studied by Deshouillers–Dress–Tenenbaum and Cui–Wu.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 1","pages":"33 - 46"},"PeriodicalIF":0.6,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613780","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
Discreteness and duality in Banach lattices 巴拿赫格中的离散性和对偶性
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-17 DOI: 10.1007/s00013-026-02268-5
Redouane Nouira
{"title":"Discreteness and duality in Banach lattices","authors":"Redouane Nouira","doi":"10.1007/s00013-026-02268-5","DOIUrl":"10.1007/s00013-026-02268-5","url":null,"abstract":"<div><p>We give a characterization when a Banach lattice, with a discrete dual, is itself discrete. We prove that every AM Banach lattice with unit, whose topological dual is discrete, is likewise discrete. We also describe discrete elements of the topological dual of the Banach lattice of continuous functions on a compact Hausdorff space, and we give a new proof of the non-discreteness of the dual <span>(ell '_infty )</span> of <span>(ell _infty )</span>.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 2","pages":"179 - 188"},"PeriodicalIF":0.6,"publicationDate":"2026-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148719079","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
Subsets of ({mathbb {P}}^4) with no four points on a plane 在平面上没有四个点的({mathbb {P}}^4)的子集
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-16 DOI: 10.1007/s00013-026-02270-x
Geertrui Van de Voorde, José Felipe Voloch
{"title":"Subsets of ({mathbb {P}}^4) with no four points on a plane","authors":"Geertrui Van de Voorde,&nbsp;José Felipe Voloch","doi":"10.1007/s00013-026-02270-x","DOIUrl":"10.1007/s00013-026-02270-x","url":null,"abstract":"<div><p>We describe a new construction of a subset of <span>({mathbb {P}}^4)</span> with no four points on a plane over any finite field of order <i>q</i> in which 3 is not a square. This set has size <span>(2q+1)</span>, is maximal with respect to inclusion, and is the largest known such set.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 2","pages":"143 - 151"},"PeriodicalIF":0.6,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-026-02270-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148719138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Injective modules over pseudo-krullian orders 伪krullian阶上的内射模
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-09 DOI: 10.1007/s00013-026-02269-4
Yuriy A. Drozd
{"title":"Injective modules over pseudo-krullian orders","authors":"Yuriy A. Drozd","doi":"10.1007/s00013-026-02269-4","DOIUrl":"10.1007/s00013-026-02269-4","url":null,"abstract":"<div><p>We introduce a new class of rings, <i>pseudo-krullian orders</i>, consider the Serre quotients of their module categories with respect to pseudo-isomorphisms, and describe injective objects in such quotient categories and its global homological dimension. These results generalize the results of I. Beck for the case of Krull rings. In particular, we establish the global homological dimension of the category of maximal Cohen–Macaulay modules over an order over a noetherian ring of Krull dimension 2.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 1","pages":"15 - 24"},"PeriodicalIF":0.6,"publicationDate":"2026-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613135","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 nodal set conjecture for the p-Laplacian in circularly symmetric domains 圆对称域上p-拉普拉斯算子的节点集猜想
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-06 DOI: 10.1007/s00013-026-02267-6
Vladimir Bobkov
{"title":"On the nodal set conjecture for the p-Laplacian in circularly symmetric domains","authors":"Vladimir Bobkov","doi":"10.1007/s00013-026-02267-6","DOIUrl":"10.1007/s00013-026-02267-6","url":null,"abstract":"<div><p>In 1990, Pütter showed that the nodal line of any second eigenfunction of the Dirichlet Laplacian on a planar bounded simply connected domain <span>(Omega )</span> intersects the boundary <span>(partial Omega )</span> provided <span>(Omega )</span> has circular symmetry. By adapting the method of moving polarization, we establish similar information on the nodal set of second eigenfunctions of the Dirichlet <i>p</i>-Laplacian on circularly symmetric domains in all higher dimensions.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 2","pages":"189 - 204"},"PeriodicalIF":0.6,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148719078","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
When is the strict closure of rings finitely generated? 环的严格闭包何时有限生成？
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-04 DOI: 10.1007/s00013-026-02272-9
Ryotaro Isobe
{"title":"When is the strict closure of rings finitely generated?","authors":"Ryotaro Isobe","doi":"10.1007/s00013-026-02272-9","DOIUrl":"10.1007/s00013-026-02272-9","url":null,"abstract":"<div><p>This paper investigates the finite generation of the strict closure of rings in arbitrary dimension. For a Noetherian local ring <span>((R, mathfrak m))</span>, we provide a sufficient condition under which the strict closure <span>(R^*)</span> is finitely generated as an <i>R</i>-module. Using this result, we characterize the finite generation of the strict closure over excellent rings.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 1","pages":"9 - 13"},"PeriodicalIF":0.6,"publicationDate":"2026-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613458","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 spherical algebras 关于球代数的注解
IF 0.6 4区 数学
Archiv der Mathematik Pub Date : 2026-07-04 DOI: 10.1007/s00013-026-02257-8
Karin Erdmann, Adam Skowyrski
{"title":"A note on spherical algebras","authors":"Karin Erdmann,&nbsp;Adam Skowyrski","doi":"10.1007/s00013-026-02257-8","DOIUrl":"10.1007/s00013-026-02257-8","url":null,"abstract":"<div><p>We classify tame symmetric algebras of period four which are closely related to the spherical algebras introduced in [7]. This note provides a classification in the special case which naturally appears, when dealing with biregular Gabriel quivers.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"127 2","pages":"113 - 130"},"PeriodicalIF":0.6,"publicationDate":"2026-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-026-02257-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148719147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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