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Bulletin of The Iranian Mathematical Society最新文献

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On the Classification of Origin-symmetric Convex Lattice Sets 论起源对称凸晶格集合的分类
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-22 DOI: 10.1007/s41980-024-00876-x
Zongyuan Chu, Lin Si
{"title":"On the Classification of Origin-symmetric Convex Lattice Sets","authors":"Zongyuan Chu, Lin Si","doi":"10.1007/s41980-024-00876-x","DOIUrl":"https://doi.org/10.1007/s41980-024-00876-x","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140673550","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
Classification of Five-Dimensional Symmetric Leibniz Algebras 五维对称莱布尼兹代数的分类
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-22 DOI: 10.1007/s41980-024-00874-z
Iroda Choriyeva, Abror Khudoyberdiyev
{"title":"Classification of Five-Dimensional Symmetric Leibniz Algebras","authors":"Iroda Choriyeva, Abror Khudoyberdiyev","doi":"10.1007/s41980-024-00874-z","DOIUrl":"https://doi.org/10.1007/s41980-024-00874-z","url":null,"abstract":"<p>In this paper, we give the complete classification of 5-dimensional complex solvable symmetric Leibniz algebras.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798709","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
Palindromic Concatenations of Two Distinct Repdigits in Narayana’s Cows Sequence 纳拉亚纳奶牛序列中两个不同重复数字的复数连接
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-22 DOI: 10.1007/s41980-024-00877-w
Mahadi Ddamulira, Paul Emong, Geoffrey Ismail Mirumbe
{"title":"Palindromic Concatenations of Two Distinct Repdigits in Narayana’s Cows Sequence","authors":"Mahadi Ddamulira, Paul Emong, Geoffrey Ismail Mirumbe","doi":"10.1007/s41980-024-00877-w","DOIUrl":"https://doi.org/10.1007/s41980-024-00877-w","url":null,"abstract":"<p>Let <span>((N_{n})_{nge 0})</span> be Narayana’s cows sequence given by a recurrence relation <span>( N_{n+3}=N_{n+2}+N_n )</span> for all <span>( nge 0 )</span>, with initial conditions <span>( N_0=0 )</span>, and <span>( N_1= N_2=1 )</span>. In this paper, we find all members in Narayana’s cows sequence that are palindromic concatenations of two distinct repdigits. Our proofs use techniques on Diophantine approximation which include the theory of linear forms in logarithms of algebraic numbers and Baker’s reduction method. We show that 595 is the only member in Narayana’s cow sequence that is a palindromic concatenation of two distinct repdigits in base 10.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798720","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 Approach to Distributed Systems from Orderings and Representability 从有序性和可表示性看分布式系统的方法
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-024-00865-0
Asier Estevan
{"title":"An Approach to Distributed Systems from Orderings and Representability","authors":"Asier Estevan","doi":"10.1007/s41980-024-00865-0","DOIUrl":"https://doi.org/10.1007/s41980-024-00865-0","url":null,"abstract":"<p>In the present paper, we propose a new approach on ‘distributed systems’: the processes are represented through total orders and the communications are characterized by means of biorders. The resulting distributed systems capture situations met in various fields (such as computer science, economics and decision theory). We investigate questions associated to the numerical representability of order structures, relating concepts of economics and computing to each other. The concept of ‘quasi-finite partial orders’ is introduced as a finite family of chains with a communication between them. The representability of this kind of structure is studied, achieving a construction method for a finite (continuous) Richter–Peleg multi-utility representation.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573314","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
Pseudo-Differential Operators on Matrix Weighted Besov–Triebel–Lizorkin Spaces 矩阵加权贝索夫-特里贝尔-利佐金空间上的伪微分算子
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-024-00869-w
Tengfei Bai, Jingshi Xu
{"title":"Pseudo-Differential Operators on Matrix Weighted Besov–Triebel–Lizorkin Spaces","authors":"Tengfei Bai, Jingshi Xu","doi":"10.1007/s41980-024-00869-w","DOIUrl":"https://doi.org/10.1007/s41980-024-00869-w","url":null,"abstract":"<p>We characterize the matrix-weighted Triebel–Lizorkin spaces and Besov spaces by Peetre maximal function and approximation. Using these characterizations, we obtain the boundedness of pseudo-differential operators with symbol in Hörmander’s class on matrix weighted Besov and Triebel–Lizorkin spaces.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573204","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
Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models 一类包含若干重要经典模型的二阶非线性常微分方程的全局可解性和振荡标准
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-023-00852-x
Gevorg Avagovich Grigorian
{"title":"Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models","authors":"Gevorg Avagovich Grigorian","doi":"10.1007/s41980-023-00852-x","DOIUrl":"https://doi.org/10.1007/s41980-023-00852-x","url":null,"abstract":"<p>The Riccati equation method is used to establish some global solvability criteria for a classes of Lane–Emdem–Fowler and Van der Pol type equations. Two oscillation theorems are proved. The results obtained are applied to the Emden–Fowler equation and to the Van der Pol type equation.\u0000</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573316","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
Fusion-Invariant Representations for Symmetric Groups 对称群的融合不变表示
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-024-00867-y
José Cantarero, Jorge Gaspar-Lara
{"title":"Fusion-Invariant Representations for Symmetric Groups","authors":"José Cantarero, Jorge Gaspar-Lara","doi":"10.1007/s41980-024-00867-y","DOIUrl":"https://doi.org/10.1007/s41980-024-00867-y","url":null,"abstract":"<p>For a prime <i>p</i>, we show that uniqueness of factorization into irreducible <span>(Sigma _{p^2})</span>-invariant representations of <span>({mathbb Z}/p wr {mathbb Z}/p)</span> holds if and only if <span>(p=2)</span>. We also show nonuniqueness of factorization for <span>(Sigma _8)</span>-invariant representations of <span>(D_8 wr {mathbb Z}/2)</span>. The representation ring of <span>(Sigma _{p^2})</span>-invariant representations of <span>({mathbb Z}/p wr {mathbb Z}/p)</span> is determined completely when <i>p</i> equals two or three.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573201","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
Sharp Lower Estimations for Invariants Associated with the Ideal of Antiderivatives of Singularities 与奇异性反代数理想相关的不变量的尖锐下限估计值
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-29 DOI: 10.1007/s41980-024-00866-z
{"title":"Sharp Lower Estimations for Invariants Associated with the Ideal of Antiderivatives of Singularities","authors":"","doi":"10.1007/s41980-024-00866-z","DOIUrl":"https://doi.org/10.1007/s41980-024-00866-z","url":null,"abstract":"<h3>Abstract</h3> <p>Let (<em>V</em>, 0) be a hypersurface with an isolated singularity at the origin defined by the holomorphic function <span> <span>(f: (mathbb {C}^n, 0)rightarrow (mathbb {C}, 0))</span> </span>. We introduce a new derivation Lie algebra associated to (<em>V</em>, 0). The new Lie algebra is defined by the ideal of antiderivatives with respect to the Tjurina ideal of (<em>V</em>, 0). More precisely, let <span> <span>(I = (f, frac{partial f}{partial x_1},ldots , frac{partial f}{partial x_n}))</span> </span> and <span> <span>(Delta (I):= {gmid g,frac{partial g}{partial x_1},ldots , frac{partial g}{partial x_n}in I})</span> </span>, then <span> <span>(A^Delta (V):= mathcal O_n/Delta (I))</span> </span> and <span> <span>(L^Delta (V):= textrm{Der}(A^Delta (V),A^Delta (V)))</span> </span>. Their dimensions as a complex vector space are denoted as <span> <span>(beta (V))</span> </span> and <span> <span>(delta (V))</span> </span>, respectively. <span> <span>(delta (V))</span> </span> is a new invariant of singularities. In this paper we study the new local algebra <span> <span>(A^Delta (V))</span> </span> and the derivation Lie algebra <span> <span>(L^Delta (V))</span> </span>, and also compute them for fewnomial isolated singularities. Moreover, we formulate sharp lower estimation conjectures for <span> <span>(beta (V))</span> </span> and <span> <span>(delta (V))</span> </span> when (<em>V</em>, 0) are weighted homogeneous isolated hypersurface singularities. We verify these conjectures for a large class of singularities. Lastly, we provide an application of <span> <span>(beta (V))</span> </span> and <span> <span>(delta (V))</span> </span> to distinguishing contact classes of singularities.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325586","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
Further Results on the [k]-Roman Domination in Graphs 关于图中 [k] 罗曼支配的进一步结果
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-27 DOI: 10.1007/s41980-024-00872-1
{"title":"Further Results on the [k]-Roman Domination in Graphs","authors":"","doi":"10.1007/s41980-024-00872-1","DOIUrl":"https://doi.org/10.1007/s41980-024-00872-1","url":null,"abstract":"<h3>Abstract</h3> <p>In 2016, Beeler et al. defined the double Roman domination as a variation of Roman domination. Sometime later, in 2021, Ahangar et al. introduced the concept of [<em>k</em>]-Roman domination in graphs and settled some results on the triple Roman domination case. In 2022, Amjadi et al. studied the quadruple version of this Roman-domination-type problem. Given any labeling of the vertices of a graph, <em>AN</em>(<em>v</em>) stands for the set of neighbors of a vertex <em>v</em> having a positive label. In this paper we continue the study of the [<em>k</em>]-Roman domination functions ([<em>k</em>]-RDF) in graphs which coincides with the previous versions when <span> <span>(2le k le 4)</span> </span>. Namely, <em>f</em> is a [<em>k</em>]-RDF if <span> <span>(f(N[v])ge k+|AN(v)|)</span> </span> for all <em>v</em>. We prove that the associate decision problem is NP-complete even when restricted to star convex and comb convex bipartite graphs and we also give sharp bounds and exact values for several classes of graphs.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140313399","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 Gel’fand Theory for Topological Algebras 论拓扑结构的格尔范德理论
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-22 DOI: 10.1007/s41980-023-00854-9
Ali Oukhouya
{"title":"On the Gel’fand Theory for Topological Algebras","authors":"Ali Oukhouya","doi":"10.1007/s41980-023-00854-9","DOIUrl":"https://doi.org/10.1007/s41980-023-00854-9","url":null,"abstract":"<p>We present conditions under which the Gel’fand transform <span>(E^{wedge },)</span> of locally <i>m</i>-convex algebra <i>E</i>, is a dense subalgebra of <span>( mathcal {C}_{c}(mathfrak M(E)))</span>. The partition of unity and the local theorem are given for a commutative unital locally <i>m</i>-convex algebra.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140200540","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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