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Bulletin of the Belgian Mathematical Society-Simon Stevin最新文献

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On Bass Modules and Semi-V-Modules 关于低音模块和半v模块
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.200928
Farid Kourki, R. Tribak
{"title":"On Bass Modules and Semi-V-Modules","authors":"Farid Kourki, R. Tribak","doi":"10.36045/j.bbms.200928","DOIUrl":"https://doi.org/10.36045/j.bbms.200928","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77135660","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: 1
Growth of analytic functions in an ultrametric open disk and branched values 超尺度开盘上解析函数的生长及其分支值
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.200707
K. Boussaf, A. Escassut
{"title":"Growth of analytic functions in an ultrametric open disk and branched values","authors":"K. Boussaf, A. Escassut","doi":"10.36045/j.bbms.200707","DOIUrl":"https://doi.org/10.36045/j.bbms.200707","url":null,"abstract":"Let D be the open unit disk |x| < R of a complete ultrametric algebraically closed field IK. We define the growth order ρ(f), the growth type σ(f) and the cotype ψ(f) of an analytic function in D and we show that, denoting by q(f, r) the number of zeros of f in the disk |x| ≤ r and putting |f |(r) = sup|x|≤r |f(x)|, the infimum θ(f) of the s such that lim r→R− q(f, r)(R− r) = 0 satisfies θ(f) − 1 ≤ ρ(f) ≤ θ(f) and the infimum of the s such that lim r→R− log(|f |(r))(R− r) = 0 is equal to ρ(f). Moreover, if 0 < ρ(f) < +∞ and 0 < ψ(f) < +∞, then θ(f) = ρ(f) and σ(f) = 0. In residue characteristic zero, then ρ(f ′) = ρ(f), σ(f ′) = σ(f), ψ(f ′) = ψ(f). Suppose IK has characteristic zero. Consider two unbounded analytic functions f, g in D. If ρ(f) 6= ρ(g), then f g has at most two perfectly branched values and if ρ(f) = ρ(g) but σ(f) 6= σ(g), then f g has at most three perfectly branched values; moreover, if 2σ(g) < σ(f), then f g has at most two perfectly branched values. Subject Classification: 12J25; 30D35; 30G06","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87069487","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
Relative Choquet boundaries of restriction algebras 限制代数的相对Choquet边界
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.201116
R. I. Hadjigeorgiou
{"title":"Relative Choquet boundaries of restriction algebras","authors":"R. I. Hadjigeorgiou","doi":"10.36045/j.bbms.201116","DOIUrl":"https://doi.org/10.36045/j.bbms.201116","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78041773","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
Dynamic frictional thermoviscoelastic contact problem with normal compliance and damage 具有正常柔度和损伤的动态摩擦热粘弹性接触问题
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.191105
Khelifa Chadi, M. Selmani
{"title":"Dynamic frictional thermoviscoelastic contact problem with normal compliance and damage","authors":"Khelifa Chadi, M. Selmani","doi":"10.36045/j.bbms.191105","DOIUrl":"https://doi.org/10.36045/j.bbms.191105","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73639335","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: 1
Extremal results on distance Laplacian spectral radius of graphs 图的距离拉普拉斯谱半径的极值结果
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.190405
Hongying Lin, Bo Zhou
{"title":"Extremal results on distance Laplacian spectral radius of graphs","authors":"Hongying Lin, Bo Zhou","doi":"10.36045/j.bbms.190405","DOIUrl":"https://doi.org/10.36045/j.bbms.190405","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86531302","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
2-nil ideals of commutative rings 交换环的2-零理想
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.201031
E. Y. Çeli̇kel
{"title":"2-nil ideals of commutative rings","authors":"E. Y. Çeli̇kel","doi":"10.36045/j.bbms.201031","DOIUrl":"https://doi.org/10.36045/j.bbms.201031","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88752502","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
Parabolic hypersurfaces with constant mean curvature in Euclidean space 欧几里德空间中具有常平均曲率的抛物超曲面
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-12-01 DOI: 10.36045/j.bbms.200301
Mario Hernández, J. Meléndez
{"title":"Parabolic hypersurfaces with constant mean curvature in Euclidean space","authors":"Mario Hernández, J. Meléndez","doi":"10.36045/j.bbms.200301","DOIUrl":"https://doi.org/10.36045/j.bbms.200301","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85240150","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
Asymptotic resemblance relations on Groups 群上的渐近相似关系
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-11-10 DOI: 10.36045/j.bbms.200314
Sh. Kalantari
{"title":"Asymptotic resemblance relations on Groups","authors":"Sh. Kalantari","doi":"10.36045/j.bbms.200314","DOIUrl":"https://doi.org/10.36045/j.bbms.200314","url":null,"abstract":"In this paper, we study properties of asymptotic resemblance relations induced by compatible coarse structures on groups. We generalize the notion of asymptotic dimensiongrad for groups with compatible coarse structures and show this notion is coarse invariant. We end by defining the notion of set theoretic coupling for groups with compatible coarse structures and showing this notion is the generalization of the notion of topological coupling for finitely generated groups. We show if two groups with compatible coarse structures admit a set theoretic coupling then they are asymptotic equivalent.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83404252","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
Backward Touchard congruence 后触点同余
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-10-12 DOI: 10.36045/j.bbms.210412a
G. Serafin
{"title":"Backward Touchard congruence","authors":"G. Serafin","doi":"10.36045/j.bbms.210412a","DOIUrl":"https://doi.org/10.36045/j.bbms.210412a","url":null,"abstract":"The celebrated Touchard congruence states that Bn+p ≡ Bn + Bn+1 modulo p, where p is a prime number and Bn denotes the Bell number. In this paper we study divisibility properties of Bn−p and their generalizations involving higher powers of p as well as the r-Bell numbers. In particular, we show a closely relation of the considered problem to the Sun-Zagier congruence, which is additionally improved by deriving a new relation between r-Bell and derangement numbers. Finally, we conclude some results on the period of the Bell numbers modulo p.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78896300","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
Galois correspondence for group-type partial actions of groupoids 群拟群型部分作用的伽罗瓦对应
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-08-02 DOI: 10.36045/j.bbms.210807
Dirceu Bagio, Alveri Sant’Ana, Thaísa Tamusiunas
{"title":"Galois correspondence for group-type partial actions of groupoids","authors":"Dirceu Bagio, Alveri Sant’Ana, Thaísa Tamusiunas","doi":"10.36045/j.bbms.210807","DOIUrl":"https://doi.org/10.36045/j.bbms.210807","url":null,"abstract":"Let G be a finite groupoid and α = (Sg, αg)g∈G a unital partial action of group-type of G on a commutative ring S = ⊕y∈G0Sy. We shall prove a Galois correspondence between a class of wide subgroupoids of G and a class of subrings of S. We recover known results for global groupoid actions and we give several examples to illustrate the correspondence.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90517893","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: 5
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