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A note on exponential polynomials 关于指数多项式的说明
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-07-04 DOI: 10.1007/s11587-024-00871-8
Antongiulio Fornasiero, Giuseppina Terzo
{"title":"A note on exponential polynomials","authors":"Antongiulio Fornasiero, Giuseppina Terzo","doi":"10.1007/s11587-024-00871-8","DOIUrl":"https://doi.org/10.1007/s11587-024-00871-8","url":null,"abstract":"<p>We investigate the zero sets of complex exponential polynomials in one variable with only one iteration. We characterize when such polynomials have the same zero set in terms of the radical ideals. Moreover we give a bound on the multiplicity of zeros.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"15 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141550345","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
Finite supersolvable groups and Hall normally embedded subgroups of prime power order 有限可超溶群和霍尔素幂级数常内含子群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-07-03 DOI: 10.1007/s11587-024-00873-6
Weicheng Zheng, Wei Meng
{"title":"Finite supersolvable groups and Hall normally embedded subgroups of prime power order","authors":"Weicheng Zheng, Wei Meng","doi":"10.1007/s11587-024-00873-6","DOIUrl":"https://doi.org/10.1007/s11587-024-00873-6","url":null,"abstract":"<p>Let <i>G</i> be a finite group. A group <i>G</i> is called a <i>T</i> group if its every subnormal subgroup is normal. A subgroup <i>H</i> of <i>G</i> is called Hall normally embedded in <i>G</i> if <i>H</i> is a Hall subgroup of <span>(H^G)</span>, where <span>(H^G)</span> is the normal closure of <i>H</i> in <i>G</i>. Using the notion of Hall normally embedded subgroups, we characterize supersolvable groups and solvable <i>T</i>-group. First, we prove that if every cyclic subgroup of <i>G</i> of order prime or 4 is Hall normally embedded in <i>G</i>, then <i>G</i> is supersolvable with a well defined structure. Second, we prove that an <i>A</i>-group <i>G</i> is supersolvable if and only if its Sylow subgroups are products of cyclic Hall normally embedded subgroups of <i>G</i>. Final, we show that <i>G</i> is a solvable <i>T</i>-group if and only if every <i>p</i>-subgroup of <i>G</i> is Hall normally embedded in <i>G</i>, for all primes <span>(pin pi (G))</span>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"14 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141550259","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
Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent 非正则子群为零或最小非零的群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-06-29 DOI: 10.1007/s11587-024-00870-9
Nasrin Dastborhan, Hamid Mousavi
{"title":"Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent","authors":"Nasrin Dastborhan, Hamid Mousavi","doi":"10.1007/s11587-024-00870-9","DOIUrl":"https://doi.org/10.1007/s11587-024-00870-9","url":null,"abstract":"<p>Let <span>({mathfrak {Nil}})</span> be the class of nilpotent groups and <i>G</i> be a group. We call <i>G</i> a meta-<span>({mathfrak {Nil}})</span>-Hamiltonian group if any of its non-<span>({mathfrak {Nil}})</span> subgroups is normal. Also, we call <i>G</i> a para-<span>({mathfrak {Nil}})</span>-Hamiltonian group if <i>G</i> is a non-<span>({mathfrak {Nil}})</span> group and every non-normal subgroup of <i>G</i> is either a <span>({mathfrak {Nil}})</span>-group or a minimal non-<span>({mathfrak {Nil}})</span> group. In this paper we investigate the class of finitely generated meta-<span>({mathfrak {Nil}})</span>-Hamiltonian and para-<span>({mathfrak {Nil}})</span>-Hamiltonian groups.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"31 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503420","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
Topological properties of convex order in Wasserstein metric spaces 瓦瑟斯坦度量空间中凸序的拓扑特性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-05-13 DOI: 10.1007/s11587-024-00867-4
Hongbing Ju, Feng Wang, Hongguang Wu
{"title":"Topological properties of convex order in Wasserstein metric spaces","authors":"Hongbing Ju, Feng Wang, Hongguang Wu","doi":"10.1007/s11587-024-00867-4","DOIUrl":"https://doi.org/10.1007/s11587-024-00867-4","url":null,"abstract":"<p>Martingale optimal transportation has gained significant attention in mathematical finance due to its applications in pricing and hedging. A key distinguishing factor between martingale optimal transportation and traditional optimal transportation is the concept of a peacock, which refers to a sequence of measures satisfying the convex order property. In the realm of traditional optimal transportation, the Wasserstein geometry, induced by a transportation problem with the <i>p</i>-th power of distance as the cost, provides valuable geometric insights. This motivates us to investigate the differences between Wasserstein geometries with and without the martingale constraint. As a first step, this paper focuses on studying the topological properties of convex order, with the aim of establishing a foundational understanding for further exploration of the geometric properties of martingale Wasserstein geometry.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"98 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140930389","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
The permutizer of the main diagonal subgroups in direct products 直积中主对角子群的换元器
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-05-05 DOI: 10.1007/s11587-024-00866-5
HongHui Huang, HangYang Meng, ShouHong Qiao, Ning Su
{"title":"The permutizer of the main diagonal subgroups in direct products","authors":"HongHui Huang, HangYang Meng, ShouHong Qiao, Ning Su","doi":"10.1007/s11587-024-00866-5","DOIUrl":"https://doi.org/10.1007/s11587-024-00866-5","url":null,"abstract":"<p>Let <i>G</i> be a finite group, <span>(Hle G)</span>. The permutizer of <i>H</i> in <i>G</i> is defined to be <span>(P_G(H)=langle xin G|~Hlangle xrangle =langle xrangle Hrangle )</span>. Let <span>(D={(g, g)|~gin G})</span>, the main diagonal subgroup of <span>(Gtimes G)</span>. In this paper, we use the permutizer of <i>D</i> in <span>(Gtimes G)</span> to characterize the structure of <i>G</i>, and the following main result is obtained. <i>Main Theorem</i>: Let <i>G</i> be a group, <span>(D={(g, g)|~gin G})</span>. Then the group <span>(Gtimes G)</span> has a chain of subgroups from <i>D</i> to <span>(Gtimes G)</span> with each contained in the permutizer of the previous subgroup if and only if all chief factors <i>T</i> of <i>G</i> have prime order or order 4 with <span>(G/{C_G(T)}cong S_3)</span>. Finally, we also present two theorems deciding the supersolubility of finite groups.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"40 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140930381","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
Properties of extropy and its weighted version for doubly truncated random variables 双截断随机变量的熵及其加权版本的特性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-04-30 DOI: 10.1007/s11587-024-00863-8
E. I. Abdul Sathar, R. Dhanya Nair
{"title":"Properties of extropy and its weighted version for doubly truncated random variables","authors":"E. I. Abdul Sathar, R. Dhanya Nair","doi":"10.1007/s11587-024-00863-8","DOIUrl":"https://doi.org/10.1007/s11587-024-00863-8","url":null,"abstract":"<p>This paper proposes interval extropy and its length-biased version to measure the uncertainty of a doubly truncated random variable. Properties and characterizations of some important life distributions in terms of the new measures are obtained. Nonparametric estimators for the proposed measures are also suggested, and their performance is verified using simulated and real data sets.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140833864","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
Additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras 环和标准算子代数上乘法约旦半衍生的可加性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-04-29 DOI: 10.1007/s11587-024-00865-6
João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto
{"title":"Additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras","authors":"João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto","doi":"10.1007/s11587-024-00865-6","DOIUrl":"https://doi.org/10.1007/s11587-024-00865-6","url":null,"abstract":"<p>In this paper we study the additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"36 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140810445","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
Variants of Bernstein’s theorem for variational integrals with linear and nearly linear growth 具有线性和近似线性增长的变分积分的伯恩斯坦定理变式
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-04-20 DOI: 10.1007/s11587-024-00857-6
Michael Bildhauer, Martin Fuchs
{"title":"Variants of Bernstein’s theorem for variational integrals with linear and nearly linear growth","authors":"Michael Bildhauer, Martin Fuchs","doi":"10.1007/s11587-024-00857-6","DOIUrl":"https://doi.org/10.1007/s11587-024-00857-6","url":null,"abstract":"<p>Using a Caccioppoli-type inequality involving negative exponents for a directional weight we establish variants of Bernstein’s theorem for variational integrals with linear and nearly linear growth. We give some mild conditions for entire solutions of the equation </p><span>$$begin{aligned} {text {div}} Big [Df(nabla u)Big ] = 0 ,, end{aligned}$$</span><p>under which solutions have to be affine functions. Here <i>f</i> is a smooth energy density satisfying <span>(D^2 f&gt;0)</span> together with a natural growth condition for <span>(D^2 f)</span>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"33 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140625868","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
Strong solution of modified anistropic 3D-Navier–Stokes equations 修正的各向同性三维纳维尔-斯托克斯方程的强解法
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-04-20 DOI: 10.1007/s11587-024-00864-7
Maroua Ltifi, Jamel Benameur
{"title":"Strong solution of modified anistropic 3D-Navier–Stokes equations","authors":"Maroua Ltifi, Jamel Benameur","doi":"10.1007/s11587-024-00864-7","DOIUrl":"https://doi.org/10.1007/s11587-024-00864-7","url":null,"abstract":"<p>This study delves into a comprehensive examination of modified three-dimensional, incompressible, anisotropic Navier–Stokes equations. The modification involves incorporating a power term in the nonlinear convection component, a particularly relevant adjustment in porous media scenarios, especially when the fluid adheres to the Darcy–Forchheimer law instead of the conventional Darcy law. Our main contributions include establishing global existence over time and demonstrating the uniqueness of solutions. Importantly, these achievements are realized without the need to assume smallness conditions on the initial data, but with the condition <span>(beta &gt;3)</span>. However, when <span>(beta =3)</span>, the problem is limited to the case <span>(0&lt;alpha &lt;4)</span> as the above inequality is unsolvable for these <span>(alpha )</span> values using our method. To address our statement, we will add a “slight disturbance” the function <span>(log (e+|u|^{2}))</span> to <span>(|u|^{2}u)</span>. The primary objective of our research is to affirm that the solution, denoted as <i>u</i> in this equation, exhibits continuity in <span>(L^{2}(mathbb {R}^{3}))</span>.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"100 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140625896","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
Remarks on finite pseudo-chain rings 关于有限伪链环的评论
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2024-04-15 DOI: 10.1007/s11587-024-00852-x
Boran Kim, Hyun Seung Choi
{"title":"Remarks on finite pseudo-chain rings","authors":"Boran Kim, Hyun Seung Choi","doi":"10.1007/s11587-024-00852-x","DOIUrl":"https://doi.org/10.1007/s11587-024-00852-x","url":null,"abstract":"<p>We consider a class of local rings that is properly larger than that of chain rings and investigate its properties. We show that when restricted to finite rings, elements of such rings can be factorized into a finite product of irreducible elements, and the length of such factorization is unique, although the factorization itself is far from being unique. Using these results, we determine the minimal number of generators required for each ideal. We also show that several nontrivial examples of such rings appear as a subring of a chain ring and show that such rings can be constructed using techniques commonly used in the field of multiplicative ideal theory. We choose a class of such rings and investigate the basic properties of rings induced from them (including the number of elements and ideals and the unit group structure of such a ring), which are directly associated with the structure of cyclic codes over such rings.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"246 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564416","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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