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$L^p$ harmonic 1-forms on hypersurfaces with finite index 有限指数超曲面上的L^p调和1型
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-11-02 DOI: 10.1017/S0017089522000313
Xiaoli Chao, B. Shen, Miaomiao Zhang
{"title":"$L^p$\u0000 harmonic 1-forms on hypersurfaces with finite index","authors":"Xiaoli Chao, B. Shen, Miaomiao Zhang","doi":"10.1017/S0017089522000313","DOIUrl":"https://doi.org/10.1017/S0017089522000313","url":null,"abstract":"Abstract In the present note, we establish a finiteness theorem for \u0000$L^p$\u0000 harmonic 1-forms on hypersurfaces with finite index, which is an extension of the result of Choi and Seo (J. Geom. Phys. 129 (2018), 125–132).","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"310 - 323"},"PeriodicalIF":0.5,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42791682","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
A characterization of potent rings 强环的一个性质
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-11-02 DOI: 10.1017/S0017089522000325
Greg Oman
{"title":"A characterization of potent rings","authors":"Greg Oman","doi":"10.1017/S0017089522000325","DOIUrl":"https://doi.org/10.1017/S0017089522000325","url":null,"abstract":"Abstract An associative ring R is called potent provided that for every \u0000$xin R$\u0000 , there is an integer \u0000$n(x)>1$\u0000 such that \u0000$x^{n(x)}=x$\u0000 . A celebrated result of N. Jacobson is that every potent ring is commutative. In this note, we show that a ring R is potent if and only if every nonzero subring S of R contains a nonzero idempotent. We use this result to give a generalization of a recent result of Anderson and Danchev for reduced rings, which in turn generalizes Jacobson’s theorem.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"324 - 327"},"PeriodicalIF":0.5,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49423086","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
The Burden of Respiratory Alterations during Sleep on Comorbidities in Obstructive Sleep Apnoea (OSA). 阻塞性睡眠呼吸暂停 (OSA) 患者睡眠时呼吸改变对并发症的影响。
IF 2.7 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-10-06 DOI: 10.3390/brainsci12101359
Pasquale Tondo, Francesco Fanfulla, Giulia Scioscia, Roberto Sabato, Michela Salvemini, Cosimo C De Pace, Maria Pia Foschino Barbaro, Donato Lacedonia
{"title":"The Burden of Respiratory Alterations during Sleep on Comorbidities in Obstructive Sleep Apnoea (OSA).","authors":"Pasquale Tondo, Francesco Fanfulla, Giulia Scioscia, Roberto Sabato, Michela Salvemini, Cosimo C De Pace, Maria Pia Foschino Barbaro, Donato Lacedonia","doi":"10.3390/brainsci12101359","DOIUrl":"10.3390/brainsci12101359","url":null,"abstract":"<p><strong>Background: </strong>Obstructive sleep apnoea (OSA) has an important impact on the risk of morbidity and mortality, so we have designed the present study to understand which factor is most involved in the risk of developing a comorbidity between OSA severity and nocturnal hypoxemia.</p><p><strong>Methods: </strong>A retrospective study was conducted on 617 adult subjects who were referred to our unit for a suspicion of OSA between January 2018 and January 2020.</p><p><strong>Results: </strong>Sleep investigations performed by participants (72% male and obese in 70% of cases) reported an overall mean apnoea-hypopnoea index (AHI) of 44.0 ± 24.8 events·h<sup>-1</sup>. Overall, 66% were classified as severe OSA and 76% experienced nocturnal hypoxemia. By analysing the burden of OSA severity and nocturnal hypoxemia on the comorbidities risk, multivariate analysis highlighted the predominant role of age and obesity. Accordingly, after the exclusion of the older and obese participants from the analyses, we noticed that severe OSA was related to the risk of hypertension (odds ratio (OR) = 3.0 [95% confidence interval [CI] 1.4-6.2], <i>p</i> = 0.004) as well as nocturnal hypoxemia (OR = 2.6 [95% CI 1.2-5.4], <i>p</i> = 0.01).</p><p><strong>Conclusions: </strong>The study seems to suggest that in young, non-obese subjects, OSA is a predisposing factor for the risk of developing hypertension.</p>","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"62 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9599512/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77942706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cohomology in singular blocks of parabolic category $mathcal{O}$ 抛物范畴的奇异块上同调
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-10-05 DOI: 10.1017/S0017089523000113
Jonathan Gruber
{"title":"Cohomology in singular blocks of parabolic category \u0000$mathcal{O}$","authors":"Jonathan Gruber","doi":"10.1017/S0017089523000113","DOIUrl":"https://doi.org/10.1017/S0017089523000113","url":null,"abstract":"Abstract We determine the dimensions of \u0000$textrm{Ext}$\u0000 -groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category \u0000$mathcal{O}$\u0000 for complex semisimple Lie algebras and affine Kac-Moody algebras.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"555 - 568"},"PeriodicalIF":0.5,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42532523","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: 2
GMJ volume 64 issue 3 Cover and Front matter GMJ第64卷第3期封面和封面问题
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-08-05 DOI: 10.1017/s001708952200026x
{"title":"GMJ volume 64 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s001708952200026x","DOIUrl":"https://doi.org/10.1017/s001708952200026x","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":" ","pages":"f1 - f2"},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48683032","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
GMJ volume 64 issue 3 Cover and Back matter GMJ第64卷第3期封面和封底
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-08-05 DOI: 10.1017/s0017089522000271
{"title":"GMJ volume 64 issue 3 Cover and Back matter","authors":"","doi":"10.1017/s0017089522000271","DOIUrl":"https://doi.org/10.1017/s0017089522000271","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"64 1","pages":"b1 - b3"},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46044824","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 extension of the van Hemmen–Ando norm inequality van Hemmen-Ando范数不等式的推广
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-08-03 DOI: 10.1017/S0017089522000155
H. Najafi
{"title":"An extension of the van Hemmen–Ando norm inequality","authors":"H. Najafi","doi":"10.1017/S0017089522000155","DOIUrl":"https://doi.org/10.1017/S0017089522000155","url":null,"abstract":"Abstract Let $C_{||.||}$ be an ideal of compact operators with symmetric norm $||.||$ . In this paper, we extend the van Hemmen–Ando norm inequality for arbitrary bounded operators as follows: if f is an operator monotone function on $[0,infty)$ and S and T are bounded operators in $mathbb{B}(mathscr{H};,)$ such that ${rm{sp}}(S),{rm{sp}}(T) subseteq Gamma_a={zin mathbb{C} | {rm{re}}(z)geq a}$ , then begin{equation*}||f(S)X-Xf(T)|| leq;f'(a) ||SX-XT||,end{equation*} for each $Xin C_{||.||}$ . In particular, if ${rm{sp}}(S), {rm{sp}}(T) subseteq Gamma_a$ , then begin{equation*}||S^r X-XT^r|| leq r a^{r-1} ||SX-XT||,end{equation*} for each $Xin C_{||.||}$ and for each $0leq rleq 1$ .","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"121 - 127"},"PeriodicalIF":0.5,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42693663","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
Polyhedral groups in $textbf{G}_{textbf{2}}(mathbb C)$ $textbf中的多面体群{G}_｛textbf｛2｝｝（mathbb C）$
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-07-30 DOI: 10.1017/S0017089522000283
V. Knibbeler, S. Lombardo, Casper Oelen
{"title":"Polyhedral groups in \u0000$textbf{G}_{textbf{2}}(mathbb C)$","authors":"V. Knibbeler, S. Lombardo, Casper Oelen","doi":"10.1017/S0017089522000283","DOIUrl":"https://doi.org/10.1017/S0017089522000283","url":null,"abstract":"Abstract We classify embeddings of the finite groups \u0000$A_4$\u0000 , \u0000$S_4$\u0000 and \u0000$A_5$\u0000 in the Lie group \u0000$G_2(mathbb C)$\u0000 up to conjugation.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"S123 - S128"},"PeriodicalIF":0.5,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44837446","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
Continuously many quasi-isometry classes of residually finite groups 剩余有限群的连续多个拟等距类
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-07-01 DOI: 10.1017/S0017089523000137
Hip Kuen Chong, D. Wise
{"title":"Continuously many quasi-isometry classes of residually finite groups","authors":"Hip Kuen Chong, D. Wise","doi":"10.1017/S0017089523000137","DOIUrl":"https://doi.org/10.1017/S0017089523000137","url":null,"abstract":"Abstract We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of \u0000$F_2$\u0000 depending on a subset \u0000$S$\u0000 of positive integers. Varying \u0000$S$\u0000 yields continuously many groups up to quasi-isometry.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"569 - 572"},"PeriodicalIF":0.5,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47787431","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
Characterization of totally geodesic foliations with integrable and parallelizable normal bundle 具有可积并行法线束的全测地线叶的性质
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-05-10 DOI: 10.1017/S0017089522000179
E. D. da Silva, David C. Souza, F. Reis
{"title":"Characterization of totally geodesic foliations with integrable and parallelizable normal bundle","authors":"E. D. da Silva, David C. Souza, F. Reis","doi":"10.1017/S0017089522000179","DOIUrl":"https://doi.org/10.1017/S0017089522000179","url":null,"abstract":"Abstract In this work, we study foliations of arbitrary codimension $mathfrak{F}$ with integrable normal bundles on complete Riemannian manifolds. We obtain a necessary and sufficient condition for $mathfrak{F}$ to be totally geodesic. For this, we introduce a special number $mathfrak{G}_{mathfrak{F}}^{alpha}$ that measures when the foliation ceases to be totally geodesic. Furthermore, applying some maximum principle we deduce geometric properties for $mathfrak{F}$ . We conclude with a geometrical version of Novikov’s theorem (Trans. Moscow Math. Soc. (1965), 268–304), for Riemannian compact manifolds of arbitrary dimension.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":"65 1","pages":"128 - 137"},"PeriodicalIF":0.5,"publicationDate":"2022-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48203306","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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