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Local cohomology and Foxby classes 局部同调与福克斯比类
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-15 DOI: 10.1007/s10474-024-01391-5
M. Ahmadi, A. Rahimi
{"title":"Local cohomology and Foxby classes","authors":"M. Ahmadi, A. Rahimi","doi":"10.1007/s10474-024-01391-5","DOIUrl":"https://doi.org/10.1007/s10474-024-01391-5","url":null,"abstract":"<p>Let <i>R</i> be a commutative Noetherian ring and <i>I</i> a proper ideal of <i>R</i>. In this paper, we study finitely generated <i>R</i>-modules <i>M</i> with only one non-vanishing local cohomology module <span>({H}_I^c(M))</span> where <span>(c=cd(I,M))</span>. Let <i>C</i> be a semidualizing <i>R</i>-module. We investigate the conditions under which <span>({H}_I^c(M))</span> belongs to either the Auslander class <span>(mathscr{A}_C(R))</span> or the Bass class <span>(mathscr{B}_C(R))</span>.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139768523","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
Parallel covering a parallelogram with squares 用正方形平行覆盖平行四边形
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-01 DOI: 10.1007/s10474-024-01407-0
Z.-J. Su, J. Zhang
{"title":"Parallel covering a parallelogram with squares","authors":"Z.-J. Su, J. Zhang","doi":"10.1007/s10474-024-01407-0","DOIUrl":"https://doi.org/10.1007/s10474-024-01407-0","url":null,"abstract":"<p>Suppose that <span>(R(h, alpha))</span> is a parallelogram with the longer side 1, with acute angle <span>(alpha)</span> and with height <i>h</i>. Let <i>S</i> be a square with a side parallel to the longer side of <span>(R(h, alpha))</span> and let <span>({S_{n}})</span> be a\u0000collection of the homothetic copies of <i>S</i>. In this note a tight lower bound\u0000of the sum of the areas of squares from <span>({S_{n}})</span> that can parallel cover\u0000<span>(R(h, alpha))</span> is given.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139662219","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 uncountable Hadwiger conjecture and characterizations of trees using graphs 不可数哈德维格猜想和用图描述树的特征
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01399-x
D. Uhrik
{"title":"The uncountable Hadwiger conjecture and characterizations of trees using graphs","authors":"D. Uhrik","doi":"10.1007/s10474-024-01399-x","DOIUrl":"https://doi.org/10.1007/s10474-024-01399-x","url":null,"abstract":"<p>We prove that the existence of a non-special tree of size <span>(lambda)</span> is equivalent to the existence of an uncountably chromatic graph with no <span>(K_{omega1})</span> minor of size <span>(lambda)</span>, establishing a connection between the special tree number and the uncountable Hadwiger conjecture. Also characterizations of Aronszajn, Kurepa and Suslin trees using graphs are deduced. A new generalized notion of connectedness for graphs is introduced using which we are able to characterize weakly compact cardinals.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646964","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
Geometric Condition For Dependent Choice 从属选择的几何条件
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01396-0
A. Karagila, J. Schilhan
{"title":"Geometric Condition For Dependent Choice","authors":"A. Karagila, J. Schilhan","doi":"10.1007/s10474-024-01396-0","DOIUrl":"https://doi.org/10.1007/s10474-024-01396-0","url":null,"abstract":"<p>We provide a geometric condition which characterises when the\u0000Principle of Dependent Choice holds in a Fraenkel-Mostowski-Specker permutation\u0000model. This condition is a slight weakening of requiring the filter of groups to\u0000be closed under countable intersections. We show that this condition holds nontrivially\u0000in a new permutation model we call \"the nowhere dense model\" and we\u0000study its extensions to uncountable cardinals as well.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139647463","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 totally semipermutable products of finite groups 关于有限群的完全半可变积
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01392-4
A. Ballester-Bolinches, J. Cossey, S. Y. Madanha , M. C. Pedraza-Aguilera
{"title":"On totally semipermutable products of finite groups","authors":"A. Ballester-Bolinches, J. Cossey, S. Y. Madanha , M. C. Pedraza-Aguilera","doi":"10.1007/s10474-024-01392-4","DOIUrl":"https://doi.org/10.1007/s10474-024-01392-4","url":null,"abstract":"<p>We say a group <i>G</i> = <i>AB</i> is the totally semipermutable product of subgroups <i>A</i> and <i>B</i> if every Sylow subgroup <i>P</i> of <i>A</i> is totally permutable with every Sylow subgroup <i>Q</i> of <i>B</i> whenever <span>( gcd(|P|,|Q|)=1 )</span>. Products of pairwise totally semipermutable subgroups are studied in this article. Let <span>( mathfrak{U} )</span> denote the class of supersoluble groups and <span>( mathfrak{D} )</span> denote the formation of all groups which have an ordered Sylow tower of supersoluble type. We obtain the <span>( mathfrak{F} )</span>-residual of the product from the <span>( mathfrak{F} )</span>-residuals of the pairwise totally semipermutable subgroups when <span>( mathfrak{F} )</span> is a subgroup-closed saturated formation such that <span>( mathfrak{U}subseteq mathfrak{F}subseteq mathfrak{D} )</span>.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139647120","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
Finite beta-expansions of natural numbers 自然数的有限贝塔展开式
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01400-7
F. Takamizo
{"title":"Finite beta-expansions of natural numbers","authors":"F. Takamizo","doi":"10.1007/s10474-024-01400-7","DOIUrl":"https://doi.org/10.1007/s10474-024-01400-7","url":null,"abstract":"<p>Let <span>(beta&gt;1)</span>. For <span>(x in [0,infty))</span>, we have so-called a <i>beta-expansion</i> of <span>(x)</span> in base <span>(beta)</span> as follows: </p><span>$$x= sum_{j leq k} x_{j}beta^{j} = x_{k}beta^{k}+ cdots + x_{1}beta+x_{0}+x_{-1}beta^{-1} + x_{-2}beta^{-2} + cdots$$</span><p>\u0000where <span>(k in mathbb{Z})</span>, <span>(beta^{k} leq x &lt; beta^{k+1})</span>, <span>(x_{j} in mathbb{Z} cap [0,beta))</span> for all <span>(j leq k)</span> and <span>(sum_{j leq n}x_{j}beta^{j}&lt;beta^{n+1})</span> for all <span>(n leq k)</span>. In this paper, we give a sufficient condition (for <span>(beta)</span>) such that each element of <span>(mathbb{N})</span> has a finite beta-expansion in base <span>(beta)</span>. Moreover we also find a <span>(beta)</span> with this finiteness property which does not have positive finiteness property.\u0000</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646969","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
Explicit upper bounds for Touchard polynomials and Bell numbers Touchard多项式和贝尔数的显式上限
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01401-6
A.-M. Acu, J. A. Adell, I. Raşa
{"title":"Explicit upper bounds for Touchard polynomials and Bell numbers","authors":"A.-M. Acu, J. A. Adell, I. Raşa","doi":"10.1007/s10474-024-01401-6","DOIUrl":"https://doi.org/10.1007/s10474-024-01401-6","url":null,"abstract":"<p>We obtain explicit upper bounds for the Touchard polynomials\u0000<span>(T_n(x))</span>, for <span>(x&gt;0)</span>. When applied to the Bell numbers <span>(B_n=T_n(1))</span>, such bounds\u0000are asymptotically sharp. A simple probabilistic approach based on estimates\u0000of moments of nonnegative random variables is used. Applications giving upper\u0000bounds for the moments of a certain subset of Jakimovski-Leviatan operators are\u0000also provided.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646975","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
Coupled fixed point results for new classes of functions on ordered vector metric space 有序向量度量空间上新函数类别的耦合定点结果
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01393-3
{"title":"Coupled fixed point results for new classes of functions on ordered vector metric space","authors":"","doi":"10.1007/s10474-024-01393-3","DOIUrl":"https://doi.org/10.1007/s10474-024-01393-3","url":null,"abstract":"<h3>Abstract</h3> <p>The contraction condition in the Banach contraction principle forces a function to be continuous. Many authors overcome this obligation and weaken the hypotheses via metric spaces endowed with a partial order. In this paper, we present some coupled fixed point theorems for the functions having mixed monotone properties on ordered vector metric spaces, which are more general spaces than partially ordered metric spaces. We also define the double monotone property and investigate the previous results with this property. In the last section, we prove the uniqueness of a coupled fixed point for non-monotone functions. In addition, we present some illustrative examples to emphasize that our results are more general than the ones in the literature.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139647351","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
Applications of $$T^r$$ -strongly convergent sequences to Fourier series by means of modulus functions 通过模函数将 $$T^r$$ 强收敛序列应用于傅里叶级数
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01397-z
S. Devaiya, S. K. Srivastava
{"title":"Applications of $$T^r$$ -strongly convergent sequences to Fourier series by means of modulus functions","authors":"S. Devaiya, S. K. Srivastava","doi":"10.1007/s10474-024-01397-z","DOIUrl":"https://doi.org/10.1007/s10474-024-01397-z","url":null,"abstract":"<p>Recently, Devaiya and Srivastava [3] studied the <span>(T^r)</span>-strong convergence of numerical sequences and Fourier series using a lower triangular matrix <span>(T=(b_{m,n}))</span>, and generalized the results of Kórus [8]. The main objective of this paper is to introduce <span>([T^r,G,u,q])</span>-strongly convergent sequence spaces for <span>(rinmathbb{N})</span>, and defined by a sequence of modulus functions. We also provide a relationship between <span>([T,G,u,q])</span> and <span>([T^r,G,u,q])</span>-strongly convergent sequence spaces. Further, we investigate some geometrical and topological characteristics and establish some inclusion relationships between these sequence spaces. In the last, we derive some results on characterizations for <span>({T}^{r})</span>-strong convergent sequences, statistical convergence and Fourier series using the idea of <span>([T^r,G,u,q])</span>-strongly convergent sequence spaces.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646970","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
Mean value characterizations of the Dunkl polyharmonic functions 邓克尔多谐函数的均值特征
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-01-31 DOI: 10.1007/s10474-024-01398-y
G. Łysik
{"title":"Mean value characterizations of the Dunkl polyharmonic functions","authors":"G. Łysik","doi":"10.1007/s10474-024-01398-y","DOIUrl":"https://doi.org/10.1007/s10474-024-01398-y","url":null,"abstract":"<p>We give characterizations of the Dunkl polyharmonic functions,\u0000i.e., solutions to the iteration of the Dunkl-Laplace operator <span>(Delta_kappa)</span> which\u0000is a differential-reflection operator associated with a Coxeter–Weil group <span>(W)</span> generated\u0000by a finite set of reflections and an invariant multiplicity function <span>(kappa)</span>, in\u0000terms of integral means over Euclidean balls and spheres.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646965","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
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