发布求助
文献互助 智能选刊 最新文献

Mediterranean Journal of Mathematics最新文献

筛选
英文 中文
Bases of $$varepsilon $$ -Canonical Number Systems in Quadratic Number Fields 二次数域中的$$varepsilon$$规范数系的基数
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-16 DOI: 10.1007/s00009-024-02676-3
Borka Jadrijević
{"title":"Bases of $$varepsilon $$ -Canonical Number Systems in Quadratic Number Fields","authors":"Borka Jadrijević","doi":"10.1007/s00009-024-02676-3","DOIUrl":"https://doi.org/10.1007/s00009-024-02676-3","url":null,"abstract":"<p>In this paper, we give an explicit characterization of all bases of <span>(varepsilon )</span>-canonical number systems (<span>(varepsilon )</span>-CNS) with finiteness property in quadratic number fields for all values <span>(varepsilon in [0,1))</span>. This result is a consequence of the recent result of Jadrijević and Miletić on the characterization of quadratic <span>(varepsilon )</span>-CNS polynomials. Our result includes the well-known characterization of all bases of classical CNS (<span>(varepsilon =0)</span>) with finiteness property in quadratic number fields. It also fits into the general framework of generalized number systems (GNS) introduced by A. Pethő and J. Thuswaldner.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Representation Theorem for Archimedean Riesz Spaces 阿基米德里兹空间的表示定理
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-13 DOI: 10.1007/s00009-024-02684-3
A. W. Wickstead
{"title":"A Representation Theorem for Archimedean Riesz Spaces","authors":"A. W. Wickstead","doi":"10.1007/s00009-024-02684-3","DOIUrl":"https://doi.org/10.1007/s00009-024-02684-3","url":null,"abstract":"<p>In previous works, Buskes and the author have made use of representations of Archimedean Riesz spaces in terms of real-valued continuous functions defined on dense open subsets of a topological space in studying tensor products. These representations may be obtained from the Ogasawara–Maeda representation by means of restriction to the set on which representing functions are real-valued, rather than infinite. In this note, we show how to obtain such a representation as a simple consequence of the Krein–Kakutani representation of an order unit space. We conclude by studying the representation of Riesz homomorphisms in this setting.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141519923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Non-Nilpotent Leibniz Algebras with One-Dimensional Derived Subalgebra 具有一维衍生子代数的非零点莱布尼兹代数
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-07 DOI: 10.1007/s00009-024-02679-0
Alfonso Di Bartolo, Gianmarco La Rosa, Manuel Mancini
{"title":"Non-Nilpotent Leibniz Algebras with One-Dimensional Derived Subalgebra","authors":"Alfonso Di Bartolo, Gianmarco La Rosa, Manuel Mancini","doi":"10.1007/s00009-024-02679-0","DOIUrl":"https://doi.org/10.1007/s00009-024-02679-0","url":null,"abstract":"<p>In this paper we study non-nilpotent non-Lie Leibniz <span>(mathbb {F})</span>-algebras with one-dimensional derived subalgebra, where <span>(mathbb {F})</span> is a field with <span>({text {char}}(mathbb {F}) ne 2)</span>. We prove that such an algebra is isomorphic to the direct sum of the two-dimensional non-nilpotent non-Lie Leibniz algebra and an abelian algebra. We denote it by <span>(L_n)</span>, where <span>(n=dim _mathbb {F}L_n)</span>. This generalizes the result found in Demir et al. (Algebras and Representation Theory 19:405-417, 2016), which is only valid when <span>(mathbb {F}=mathbb {C})</span>. Moreover, we find the Lie algebra of derivations, its Lie group of automorphisms and the Leibniz algebra of biderivations of <span>(L_n)</span>. Eventually, we solve the <i>coquecigrue problem</i> for <span>(L_n)</span> by integrating it into a Lie rack.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141519924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Centralizers of Non-central $$pi '$$ -Elements of a Finite Group 论有限群的非中心 $$pi '$$ 元素的中心子
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-05 DOI: 10.1007/s00009-024-02616-1
Changguo Shao, Qinhui Jiang
{"title":"On the Centralizers of Non-central $$pi '$$ -Elements of a Finite Group","authors":"Changguo Shao, Qinhui Jiang","doi":"10.1007/s00009-024-02616-1","DOIUrl":"https://doi.org/10.1007/s00009-024-02616-1","url":null,"abstract":"<p>Let <i>G</i> be a group and <i>N</i> be a <span>(pi )</span>-solvable normal subgroup of <i>G</i> with <span>(pi subsetneq pi (N))</span>, where <span>(pi (N))</span> is composed by all prime divisors of the order of <i>N</i>. In this paper, we determine the structure of <span>({N_{pi '}}{} textbf{Z}(N)/textbf{Z}(N))</span> if <span>(textbf{C}_G(x))</span> is a maximal subgroup of group <i>G</i> for every <span>(pi ')</span>-element <span>(xin Nsetminus textbf{Z}(N))</span>, where <span>(N_{pi '})</span> is a Hall <span>(pi ')</span>-subgroup of <i>N</i>. In particular, if <span>(pi = {p})</span> is a set composed by a single prime <i>p</i>, we show that <i>N</i> is solvable, which has its own independent significance. If we assume <span>(N=G)</span> in the above results, then it is [8, Theorems A and B] by removing the conditions “<i>G</i> is <i>p</i>-solvable” and “with <span>(G_{p'})</span> non-abelian”. We also give a detailed structure description of such groups. Further, we generalize [9, Theorem A] by removing the condition “<i>N</i> is <i>p</i>-solvable”, and also provides a positive answer to [9, Question] by giving the structure of <span>({N_{p'}}{} textbf{Z}(N)/textbf{Z}(N))</span> if <span>(textbf{C}_G(x))</span> is a maximal subgroup of <i>G</i> for every <i>p</i>-regular element <span>(xin N{setminus } textbf{Z}(N))</span>.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Very Well-Covered Graphs via the Rees Algebra 通过里斯代数绘制覆盖极好的图形
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-03 DOI: 10.1007/s00009-024-02678-1
Marilena Crupi, Antonino Ficarra
{"title":"Very Well-Covered Graphs via the Rees Algebra","authors":"Marilena Crupi, Antonino Ficarra","doi":"10.1007/s00009-024-02678-1","DOIUrl":"https://doi.org/10.1007/s00009-024-02678-1","url":null,"abstract":"<p>A very well-covered graph is a well-covered graph without isolated vertices such that the size of its minimal vertex covers is half of the number of vertices. If <i>G</i> is a Cohen–Macaulay very well-covered graph, we deeply investigate some algebraic properties of the cover ideal of <i>G</i> via the Rees algebra associated to the ideal, and especially when <i>G</i> is a whisker graph.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141252998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Non-reduced Components of the Hilbert Scheme of Curves Using Triple Covers 使用三重盖的曲线希尔伯特方案的非还原成分
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-03 DOI: 10.1007/s00009-024-02668-3
Youngook Choi, Hristo Iliev, Seonja Kim
{"title":"Non-reduced Components of the Hilbert Scheme of Curves Using Triple Covers","authors":"Youngook Choi, Hristo Iliev, Seonja Kim","doi":"10.1007/s00009-024-02668-3","DOIUrl":"https://doi.org/10.1007/s00009-024-02668-3","url":null,"abstract":"<p>In this paper, we consider curves on a cone that pass through the vertex and are also triple covers of the base of the cone, which is a general smooth curve of genus <span>(gamma )</span> and degree <i>e</i> in <span>({mathbb {P}}^{e-gamma })</span>. Using the free resolution of the ideal of such a curve found by Catalisano and Gimigliano, and a technique concerning deformations of curves introduced by Ciliberto, we show that the deformations of such curves remain on cones over a deformation of the base curve. This allows us to prove that for <span>(gamma ge 3)</span> and <span>(e ge 4gamma + 5)</span>, there exists a non-reduced component <span>({mathcal {H}})</span> of the Hilbert scheme of smooth curves of genus <span>(3e + 3gamma )</span> and degree <span>(3e+1)</span> in <span>({mathbb {P}}^{e-gamma +1})</span>. We show that <span>(dim T_{[X]} {mathcal {H}} = dim {mathcal {H}} + 1 = (e - gamma + 1)^2 + 7e + 5)</span> for a general point <span>([X] in {mathcal {H}})</span>.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141252911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The Morse Index for Manifolds with Constant Sectional Curvature 具有恒定截面曲率的流形的莫尔斯指数
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-01 DOI: 10.1007/s00009-024-02682-5
N. I. Sirikci
{"title":"The Morse Index for Manifolds with Constant Sectional Curvature","authors":"N. I. Sirikci","doi":"10.1007/s00009-024-02682-5","DOIUrl":"https://doi.org/10.1007/s00009-024-02682-5","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141404232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem 准线性周期边值问题的能量估计和存在结果
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-01 DOI: 10.1007/s00009-024-02669-2
Massimiliano Ferrara, S. Heidarkhani, S. Moradi, G. Caristi
{"title":"Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem","authors":"Massimiliano Ferrara, S. Heidarkhani, S. Moradi, G. Caristi","doi":"10.1007/s00009-024-02669-2","DOIUrl":"https://doi.org/10.1007/s00009-024-02669-2","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141410831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Results on Hardy–Rogers Contraction 哈代-罗杰斯收缩的结果
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-06-01 DOI: 10.1007/s00009-024-02686-1
Marija Cvetković
{"title":"Results on Hardy–Rogers Contraction","authors":"Marija Cvetković","doi":"10.1007/s00009-024-02686-1","DOIUrl":"https://doi.org/10.1007/s00009-024-02686-1","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141415485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Liouville-Type Theorems for the 3D Stationary MHD Equations 三维静态多流体力学方程的柳维尔定理
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-30 DOI: 10.1007/s00009-024-02675-4
Hui Zhang, Qian Zu
{"title":"Liouville-Type Theorems for the 3D Stationary MHD Equations","authors":"Hui Zhang, Qian Zu","doi":"10.1007/s00009-024-02675-4","DOIUrl":"https://doi.org/10.1007/s00009-024-02675-4","url":null,"abstract":"<p>In this paper, we consider the Liouville-type theorems for the 3D stationary incompressible MHD equations. Using the Caccioppoli type estimate, we proved the smooth solutions (<i>u</i>, <i>b</i>) are identically equal to zero when <span>((u,b)in L^{p}({mathbb {R}}^{3}), pin (frac{3}{2},3).)</span> In addition, under an additional assumption in the setting of the Sobolev space of negative order <span>(dot{H}^{-1}({mathbb {R}}^{3}),)</span> we can extend the index <span>(pin (3,+infty ).)</span> In fact, our results combine with the result of Yuan and Xiao (J Math Anal Appl 491(2):124343, 2020) that <span>(pin [2,frac{9}{2}],)</span> which implies a very intriguing and novel result for the 3D stationary MHD equations with <span>( pin (frac{3}{2},+infty ).)</span></p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141197032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信