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Acta Mathematica Vietnamica最新文献

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Endomorphism Algebras Over Commutative Rings and Torsion in Self Tensor Products 交换环上的自同态代数与自张量积的扭转
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-08-13 DOI: 10.1007/s40306-026-00625-8
Justin Lyle
{"title":"Endomorphism Algebras Over Commutative Rings and Torsion in Self Tensor Products","authors":"Justin Lyle","doi":"10.1007/s40306-026-00625-8","DOIUrl":"10.1007/s40306-026-00625-8","url":null,"abstract":"<div><p>Let <i>R</i> be a commutative Noetherian local ring. We study tensor products involving a finitely generated <i>R</i>-module <i>M</i> through the natural action of its endomorphism ring. In particular, we study torsion properties of self tensor products in the case where <span>({text {End}}_R(M))</span> has an <span>(R^*)</span>-algebra structure, and prove that if <i>M</i> is indecomposable, then <span>(M otimes _{{text {End}}_R(M)} M)</span> must always have torsion in this case under mild hypotheses.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 3","pages":"353 - 361"},"PeriodicalIF":0.6,"publicationDate":"2026-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40306-026-00625-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Smoluchowski–Kramers Approximation for the Derivative of Solutions 解的导数的Smoluchowski-Kramers近似
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-07-23 DOI: 10.1007/s40306-026-00628-5
Nguyen Van Tan
{"title":"Smoluchowski–Kramers Approximation for the Derivative of Solutions","authors":"Nguyen Van Tan","doi":"10.1007/s40306-026-00628-5","DOIUrl":"10.1007/s40306-026-00628-5","url":null,"abstract":"<div><p>In this paper, we provide a new property for the Smoluchowski-Kramers approximation of stochastic differential equations. We prove the convergence of the derivative of solutions with respect to the initial condition (when the mass of particles tends to zero). We then use the techniques of Malliavin calculus to obtain an explicit Berry-Esseen error bound for the rate of convergence.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"201 - 218"},"PeriodicalIF":0.6,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Schmidt’s Subspace Theorem for Moving Hypersurface Targets on Algebraic Varieties Over Function Fields 函数域上代数变异上移动超曲面目标的Schmidt子空间定理
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-07-20 DOI: 10.1007/s40306-026-00626-7
Hoang Duong Tan Hung, Tran Van Tan, Nguyen Van Thin
{"title":"A Schmidt’s Subspace Theorem for Moving Hypersurface Targets on Algebraic Varieties Over Function Fields","authors":"Hoang Duong Tan Hung,&nbsp;Tran Van Tan,&nbsp;Nguyen Van Thin","doi":"10.1007/s40306-026-00626-7","DOIUrl":"10.1007/s40306-026-00626-7","url":null,"abstract":"<div><p>In this paper, we establish a non-effective version of Schmidt’s subspace theorem for moving hypersurface targets in weak general position on algebraic varieties over function fields.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"179 - 190"},"PeriodicalIF":0.6,"publicationDate":"2026-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FlatKnotInfo: The First 1.24 Million Flat Knots FlatKnotInfo：第一个124万个平结
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-07-09 DOI: 10.1007/s40306-025-00597-1
Jie Chen
{"title":"FlatKnotInfo: The First 1.24 Million Flat Knots","authors":"Jie Chen","doi":"10.1007/s40306-025-00597-1","DOIUrl":"10.1007/s40306-025-00597-1","url":null,"abstract":"<div><p>We use matchings on Lyndon words to classify flat knots up to 8 crossings. Using flat knots invariants such as the based matrix, the <span>(phi )</span>-invariant, the flat arrow polynomial, and the flat Jones-Krushkal polynomial, we distinguish all flat knots up to 7 crossings except for five pairs. Among the many flat knots considered, we find examples that are: (i) algebraically slice but not slice; (ii) almost classical (null-homologous) but not slice; (iii) nontrivial but with trivial (primitive) based matrix. The classification data has been curated and is available on FlatKnotInfo, which is an interactive searchable website listing flat knots up to 8 crossings and their invariants. It also provides access to algebraic and diagrammatic information on these knots and is designed to enable users to discover patterns and formulate conjectures on their own.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"243 - 279"},"PeriodicalIF":0.6,"publicationDate":"2026-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dualities for Some Function Spaces of One Variable and Their Applications 单变量函数空间的对偶性及其应用
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-07-07 DOI: 10.1007/s40306-026-00619-6
Le Hai Khoi
{"title":"Dualities for Some Function Spaces of One Variable and Their Applications","authors":"Le Hai Khoi","doi":"10.1007/s40306-026-00619-6","DOIUrl":"10.1007/s40306-026-00619-6","url":null,"abstract":"<div><p>The present survey paper is devoted to the spaces <span>(A^{-infty }(Omega ))</span>, their dual spaces, and their associated applications. Here, the domain <span>(Omega )</span> is considered not only as the <i>unit disk</i> <span>(mathbb {D})</span> in the complex plane <span>(mathbb {C})</span>, but also as the broader class of the so-called <i>Carathéodory domains</i> in <span>(mathbb {C})</span>. Furthermore, this paper provides a detailed consideration of the <i>representation problem</i>, a topic that has remained largely untreated in the literature.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"219 - 241"},"PeriodicalIF":0.6,"publicationDate":"2026-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ulrich Ideals on Rational Triple Points of Dimension Two 二维有理三点的乌尔里希理想
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-07-07 DOI: 10.1007/s40306-026-00613-y
Kyosuke Maeda, Ken-ichi Yoshida
{"title":"Ulrich Ideals on Rational Triple Points of Dimension Two","authors":"Kyosuke Maeda,&nbsp;Ken-ichi Yoshida","doi":"10.1007/s40306-026-00613-y","DOIUrl":"10.1007/s40306-026-00613-y","url":null,"abstract":"<div><p>In this paper, we prove that the canonical trace ideal <span>({text {trace}}_A(omega _A))</span> is an Ulrich ideal for any two-dimensional rational triple point <i>A</i>. Using this, we classify all Ulrich ideals on rational triple points. Moreover, we show that if <span>((A,{mathfrak m}))</span> is a two-dimensional quotient singularity with the multiplicity <span>(e ge 4)</span>, then <span>({mathfrak m})</span> is the unique Ulrich ideal of <i>A</i>. As a result, we can classify all Ulrich ideals of <i>A</i> if <i>A</i> is either a rational triple point or a quotient singularity.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"161 - 178"},"PeriodicalIF":0.6,"publicationDate":"2026-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Zassenhaus Filtrations as Intersections Zassenhaus滤镜作为交叉点
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-07-06 DOI: 10.1007/s40306-025-00594-4
Ján Mináč, Duy Tân Nguyễn, Thị Trà Nguyễn
{"title":"Zassenhaus Filtrations as Intersections","authors":"Ján Mináč,&nbsp;Duy Tân Nguyễn,&nbsp;Thị Trà Nguyễn","doi":"10.1007/s40306-025-00594-4","DOIUrl":"10.1007/s40306-025-00594-4","url":null,"abstract":"<div><p>Zassenhaus filtrations of profinite groups are an important tool to study profinite groups. In this paper, we describe Zassenhaus filtrations of profinite groups as intersections of kernels of certain representations. In this way we introduce a link between studying profinite groups with methods of Zassenhaus filtrations and representation theory.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 1","pages":"23 - 35"},"PeriodicalIF":0.6,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 Transfer of Artinian and Cohen-Macaulay Properties under Module-Finite Extensions 论模有限扩展下Artinian和Cohen-Macaulay性质的转移
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-06-30 DOI: 10.1007/s40306-026-00620-z
Tran Do Minh Chau
{"title":"On the Transfer of Artinian and Cohen-Macaulay Properties under Module-Finite Extensions","authors":"Tran Do Minh Chau","doi":"10.1007/s40306-026-00620-z","DOIUrl":"10.1007/s40306-026-00620-z","url":null,"abstract":"<div><p>This paper deals with certain classes of modules under module-finite extensions. Let <span>(varphi : Rhookrightarrow S)</span> be a module-finite extension between commutative Noetherian local rings. We investigate the transfer of Artinian module structures and attached primes between <i>R</i> and <i>S</i>. We clarify the behavior of local cohomology modules as well as certain structures of finitely generated <i>S</i>-modules under the restriction of scalars to <i>R</i> via <span>(varphi )</span>. We show that <i>R</i> is a quotient of a Cohen-Macaulay local ring if and only if so is <i>S</i>. As an application, we characterize the structure of Nagata’s idealization. Using Macaulayfication of algebraic varieties and idealization, we give an example to illustrate the results.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"281 - 294"},"PeriodicalIF":0.6,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Remark on Empirical Measure within Weyl Mean Orbital Pseudo-metric 关于Weyl平均轨道伪度量内经验测度的评述
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-06-29 DOI: 10.1007/s40306-026-00612-z
Zhongxuan Yang, Xiaojun Huang
{"title":"A Remark on Empirical Measure within Weyl Mean Orbital Pseudo-metric","authors":"Zhongxuan Yang,&nbsp;Xiaojun Huang","doi":"10.1007/s40306-026-00612-z","DOIUrl":"10.1007/s40306-026-00612-z","url":null,"abstract":"<div><p>In this paper, we investigate the Weyl mean orbital pseudo-metric for Polish dynamical systems and its connections to the properties of the space of invariant measures. We establish equivalent conditions under which the set of invariant measures generated by periodic points is dense in the set of ergodic measures, thereby providing a deeper understanding of the relationship between periodic behavior and measure-theoretic properties in the field of Weyl mean orbital pseudo-metric.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 2","pages":"295 - 306"},"PeriodicalIF":0.6,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148859852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Class of Finite m-Cyclic Groups 一类有限m循环群
IF 0.6
Acta Mathematica Vietnamica Pub Date : 2026-06-15 DOI: 10.1007/s40306-025-00595-3
Hailin Liu, Zhuhua Shi, Xiangyu Chen
{"title":"A Class of Finite m-Cyclic Groups","authors":"Hailin Liu,&nbsp;Zhuhua Shi,&nbsp;Xiangyu Chen","doi":"10.1007/s40306-025-00595-3","DOIUrl":"10.1007/s40306-025-00595-3","url":null,"abstract":"<div><p>A finite group <i>G</i> is called an <i>m</i>-cyclic group if it has <i>m</i> cyclic subgroups. In this paper, we classify finite 14-cyclic groups. These results involve a subclass of finite <i>m</i>-cyclic groups of order <i>n</i> with <span>(|pi (n)|le 3)</span>, where <span>(|pi (n)|)</span> is the number of prime divisors of <i>n</i>.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"51 1","pages":"143 - 156"},"PeriodicalIF":0.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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