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Bulletin of The Iranian Mathematical Society最新文献

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A Note on n-Commuting Generalized Skew Derivations on Prime Rings 关于素数环上 n 通约广义偏斜推导的说明
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-09 DOI: 10.1007/s41980-024-00880-1
Francesco Rania
{"title":"A Note on n-Commuting Generalized Skew Derivations on Prime Rings","authors":"Francesco Rania","doi":"10.1007/s41980-024-00880-1","DOIUrl":"https://doi.org/10.1007/s41980-024-00880-1","url":null,"abstract":"<p>Let <span>(mathcal {R})</span> be a prime ring, <span>(mathcal {Q}_r)</span> the right Martindale quotient ring of <span>(mathcal {R})</span>, <span>(mathcal {C})</span> the extended centroid of <span>(mathcal {R})</span>, <span>(mathcal {I})</span> a noncentral ideal of <span>(mathcal {R})</span>, <i>F</i> a nonzero generalized skew derivation of <span>(mathcal {R})</span>, and <span>(m,n,s ge 1)</span> be fixed integers, such that <span>([F(u^m)u^n,u^s]=0)</span>, for all <span>(u in mathcal {I})</span>. If either <span>(char(R)=0)</span> or <span>(char(R)=pne 2)</span> and <span>(pnot mid s)</span>, then there exists <span>(a in mathcal {Q}_r)</span> such that <span>(F(x)=xa)</span>, for all <span>(xin mathcal {R})</span>.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141573061","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
Tanno Tensor and Quasi Contact Metric Manifolds 坦诺张量与准接触公元流形
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-09 DOI: 10.1007/s41980-024-00899-4
Fereshteh Malek, Afshin Ghoujaei Bavil Oliaei
{"title":"Tanno Tensor and Quasi Contact Metric Manifolds","authors":"Fereshteh Malek, Afshin Ghoujaei Bavil Oliaei","doi":"10.1007/s41980-024-00899-4","DOIUrl":"https://doi.org/10.1007/s41980-024-00899-4","url":null,"abstract":"<p>This paper explores the properties of Tanno tensor on quasi contact metric manifolds and provides a characterization of these manifolds using Tanno tensor. Furthermore, it presents formulas for skew-symmetric and symmetric parts of Tanno tensor.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141573063","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 a Viscoelastic Plate Equation with Logarithmic Nonlinearity and Variable-Exponents: Global Existence, General Decay and Blow-Up of Solutions 关于具有对数非线性和变指数的粘弹性板方程：解的全局存在性、一般衰减和炸裂
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-05 DOI: 10.1007/s41980-024-00897-6
Abdelbaki Choucha, Salah Boulaaras
{"title":"On a Viscoelastic Plate Equation with Logarithmic Nonlinearity and Variable-Exponents: Global Existence, General Decay and Blow-Up of Solutions","authors":"Abdelbaki Choucha, Salah Boulaaras","doi":"10.1007/s41980-024-00897-6","DOIUrl":"https://doi.org/10.1007/s41980-024-00897-6","url":null,"abstract":"<p>A nonlinear viscoelastic plate equation with logarithmic nonlinearity and variable-exponents is studied. Firstly, the global existence is showed. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of solutions is proved with negative initial energy.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141573064","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
Maps Preserving $$[[G,S],T]_{diamond }$$ on Factor von Neumann Algebras 在因子冯-诺依曼代数上保存 $$[[G,S],T]_{diamond }$$ 的映射
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-02 DOI: 10.1007/s41980-024-00893-w
Yuan Yang, Jianhua Zhang
{"title":"Maps Preserving $$[[G,S],T]_{diamond }$$ on Factor von Neumann Algebras","authors":"Yuan Yang, Jianhua Zhang","doi":"10.1007/s41980-024-00893-w","DOIUrl":"https://doi.org/10.1007/s41980-024-00893-w","url":null,"abstract":"<p>Let <span>({mathcal {M}})</span> and <span>({mathcal {N}})</span> be factor von Neumann algebras, and let <span>(Psi :{mathcal {M}}rightarrow {mathcal {N}})</span> be a bijective map preserving <span>([[G,S],T]_{diamond }.)</span> In this paper, we will study the characterization of this map when <span>({textrm{dim}} {mathcal {M}}&gt;1.)</span></p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511352","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
$$mathfrak {cP}$$ -Baer Polynomial Extensions $$mathfrak {cP}$$ -Baer 多项式扩展
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-01 DOI: 10.1007/s41980-024-00898-5
Nasibeh Aramideh, Ahmad Moussavi
{"title":"$$mathfrak {cP}$$ -Baer Polynomial Extensions","authors":"Nasibeh Aramideh, Ahmad Moussavi","doi":"10.1007/s41980-024-00898-5","DOIUrl":"https://doi.org/10.1007/s41980-024-00898-5","url":null,"abstract":"<p>A ring <i>R</i> is called right <span>(mathfrak {cP})</span>-Baer if the right annihilator of a cyclic projective right <i>R</i>-module in <i>R</i> is generated by an idempotent. These rings are a generalization of the right p.q.-Baer rings and abelian rings. Following Birkenmeier and Heider (Commun Algebra 47(3):1348–1375, 2019 https://doi.org/10.1080/00927872.2018.1506462), we investigate the transfer of the <span>(mathfrak {cP})</span>-Baer property between a ring <i>R</i> and many polynomial extensions (including skew polynomials, skew Laurent polynomials, skew power series, skew inverse Laurent series), and monoid rings. As a consequence, we answer a question posed by Birkenmeier and Heider (2019).</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141530248","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
Rim-Perfect Compactifications of Frames and Zero-Dimensionally Embedded Remainders 框架的边完全紧凑与零维嵌入余域
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-01 DOI: 10.1007/s41980-024-00896-7
Simo Mthethwa, Gugulethu Nogwebela
{"title":"Rim-Perfect Compactifications of Frames and Zero-Dimensionally Embedded Remainders","authors":"Simo Mthethwa, Gugulethu Nogwebela","doi":"10.1007/s41980-024-00896-7","DOIUrl":"https://doi.org/10.1007/s41980-024-00896-7","url":null,"abstract":"<p>We introduce zero-dimensionally embedded (ZDE) sublocales as those sublocales <i>S</i> with the property that the ambient frame has a basis, elements of which induce open sublocales whose frontiers miss <i>S</i>. This notion is stronger than the traditional zero-dimensionality of a sublocale. A compactification of a frame is perfect if its associated right adjoint preserves disjoint binary joins. Herein, the class of rim-perfect compactifications of frames is introduced, and we show that it contains all the perfect ones. Indeed, not every rim-perfect compactification is perfect, but compactifications with a ZDE remainder do not distinguish between rim-perfectness and perfectness. The Freudenthal compactification has a ZDE remainder. We show that a frame <i>L</i> is rim-compact if and only if <i>L</i> has a compactification with a ZDE remainder. Several results concerning perfect compactifications and ZDE remainders are provided.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141530247","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
Long-Term Behavior of Positive Solutions of a Certain Nonlinear System of Difference Equations 特定非线性差分方程组正解的长期行为
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-01 DOI: 10.1007/s41980-024-00878-9
Nam Phong Mai, Van Dung Nguyen
{"title":"Long-Term Behavior of Positive Solutions of a Certain Nonlinear System of Difference Equations","authors":"Nam Phong Mai, Van Dung Nguyen","doi":"10.1007/s41980-024-00878-9","DOIUrl":"https://doi.org/10.1007/s41980-024-00878-9","url":null,"abstract":"<p>In this paper, we study the boundedness, stability, and the rate of convergence of positive solutions of the following system of difference equations: </p><span>$$begin{aligned} x_{n+1}=alpha +left( dfrac{y_{n-1}}{x_{n }}right) ^p, y_{n+1}=alpha + left( dfrac{x_{n-1} }{y_{n} }right) ^q, n=0, 1, 2, ... end{aligned}$$</span><p>where parameters <span>(alpha )</span>, <i>p</i>, <span>(q in (0, +infty ))</span>, and the initial values <span>(x_{i})</span>, <span>(y_{i})</span> are arbitrary positive numbers for <span>( i= -1, 0)</span>.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511351","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 Numerical Solutions for a Class of Relativistic Quasilinear Schrödinger Equations 关于一类相对论准线性薛定谔方程的数值解法
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-06-05 DOI: 10.1007/s41980-024-00895-8
Canwei Huang, Youjun Wang
{"title":"On Numerical Solutions for a Class of Relativistic Quasilinear Schrödinger Equations","authors":"Canwei Huang, Youjun Wang","doi":"10.1007/s41980-024-00895-8","DOIUrl":"https://doi.org/10.1007/s41980-024-00895-8","url":null,"abstract":"<p>We study the numerical solutions for a class of quasilinear Schrödinger equations arising from the self-channeling of high-power ultra short lasers in matter, which are associated with energy functionals with nonlinear principle parts so that the classical algorithm cannot directly be used. By the method of variable replacement to transform the quasilinear Schrödinger equation into an semilinear elliptic equation, the numerical mountain pass algorithm is then applied. Some numerical experiments are also performed, including zero potential, nonzero constant potential and singular problem.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255487","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 Computation of the Cohomological Invariants of Bott–Samelson Resolutions of Schubert Varieties 关于舒伯特变项的博特-萨缪尔森解析的同调不变式的计算
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-06-05 DOI: 10.1007/s41980-024-00887-8
Davide Franco
{"title":"On the Computation of the Cohomological Invariants of Bott–Samelson Resolutions of Schubert Varieties","authors":"Davide Franco","doi":"10.1007/s41980-024-00887-8","DOIUrl":"https://doi.org/10.1007/s41980-024-00887-8","url":null,"abstract":"<p>Let <span>(Xsubseteq G/mathcal {B})</span> be a Schubert variety in a flag manifold and let <span>(pi : tilde{X} rightarrow X)</span> be a Bott–Samelson resolution of <i>X</i>. In this paper, we prove an effective version of the decomposition theorem for the derived pushforward <span>(R pi _{*} mathbb {Q}_{tilde{X}})</span>. As a by-product, we obtain recursive procedure to extract Kazhdan–Lusztig polynomials from the polynomials introduced by Deodhar [7], which does not require prior knowledge of a minimal set. We also observe that any family of equivariant resolutions of Schubert varieties allows to define a new basis in the Hecke algebra and we show a way to compute the transition matrix, from the Kazhdan–Lusztig basis to the new one.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255459","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
An Introduction to Relative Connectedness of Topological Spaces 拓扑空间相对连通性导论
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-06-04 DOI: 10.1007/s41980-024-00885-w
Florencio Corona-Vázquez, Jesús Díaz-Reyes, Russell-Aarón Quiñones-Estrella, Javier Sánchez-Martínez
{"title":"An Introduction to Relative Connectedness of Topological Spaces","authors":"Florencio Corona-Vázquez, Jesús Díaz-Reyes, Russell-Aarón Quiñones-Estrella, Javier Sánchez-Martínez","doi":"10.1007/s41980-024-00885-w","DOIUrl":"https://doi.org/10.1007/s41980-024-00885-w","url":null,"abstract":"<p>In this paper, we introduce some versions of relative connectedness of subspaces of a topological space and we give some facts and relations among them. We prove that these relative versions satisfy some of the classical properties of connectedness. Additionally, we apply our results to the theory of hyperspaces, aiming to address a general problem posed by Arhangel’skii (Comment Math Univ Carolin 36:305–325, 1995, Problem 3).</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255458","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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