Pub Date : 2024-03-06DOI: 10.2989/16073606.2024.2322011
Eliezer Batista, William Hautekiet, Joost Vercruysse
We show that the category of partial comodules over a Hopf algebra H is comonadic over Vectk and provide an explicit construction of this comonad using topological vector spaces. The case when H is...
我们证明了在霍普夫代数 H 上的部分协约范畴是在 Vectk 上的协约，并利用拓扑向量空间提供了这种协约的明确构造。当 H 是...
{"title":"A comonadicity theorem for partial comodules","authors":"Eliezer Batista, William Hautekiet, Joost Vercruysse","doi":"10.2989/16073606.2024.2322011","DOIUrl":"https://doi.org/10.2989/16073606.2024.2322011","url":null,"abstract":"We show that the category of partial comodules over a Hopf algebra H is comonadic over Vectk and provide an explicit construction of this comonad using topological vector spaces. The case when H is...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"11 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073552","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}
Pub Date : 2024-03-06DOI: 10.2989/16073606.2024.2320439
Hani Abdelwahab, Antonio J. Calderón Martín, Moustafa Mahanna
We explore the role derivations of a Lie triple system play in the nilpotence and semisimplicity of T. In particular analogous to two theorems of Jacobson for Lie algebras, (by giving a sufficient...
{"title":"The role of derivations in the nilpotence and semisimplicity of Lie triple systems","authors":"Hani Abdelwahab, Antonio J. Calderón Martín, Moustafa Mahanna","doi":"10.2989/16073606.2024.2320439","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320439","url":null,"abstract":"We explore the role derivations of a Lie triple system play in the nilpotence and semisimplicity of T. In particular analogous to two theorems of Jacobson for Lie algebras, (by giving a sufficient...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"61 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140045083","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}
Pub Date : 2024-03-06DOI: 10.2989/16073606.2024.2320444
B.Yu. Irgashev
In this article, a representation of the solution of the Cauchy problem for an equation of high even order with a fractional derivative in the Riemann-Liouville sense of order greater than one is o...
在本文中，对一个具有大于一阶的黎曼-刘维尔意义上的分数导数的高偶数阶方程的考希问题的解进行了表示。
{"title":"On the solution of the Cauchy problem for a higher-order equation with the fractional Riemann-Liouville derivative","authors":"B.Yu. Irgashev","doi":"10.2989/16073606.2024.2320444","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320444","url":null,"abstract":"In this article, a representation of the solution of the Cauchy problem for an equation of high even order with a fractional derivative in the Riemann-Liouville sense of order greater than one is o...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"16 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073621","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}
Pub Date : 2024-03-06DOI: 10.2989/16073606.2024.2320443
Mohamed Berbiche
In the present work, we study the global existence and uniform decay rates of solutions to the initial-boundary value problem related to the dynamic behavior of evolution equations accounting for r...
在本研究中，我们研究了与进化方程的动态行为有关的初界值问题解的全局存在性和均匀衰减率。
{"title":"Exponential decay of solutions to an inertial model for a wave equation with viscoelastic damping and time varying delay","authors":"Mohamed Berbiche","doi":"10.2989/16073606.2024.2320443","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320443","url":null,"abstract":"In the present work, we study the global existence and uniform decay rates of solutions to the initial-boundary value problem related to the dynamic behavior of evolution equations accounting for r...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"79 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073558","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}
Pub Date : 2024-03-05DOI: 10.2989/16073606.2023.2288707
Dimpi, Hemant Kumar Singh
In this paper, we have determined the orbit spaces of free involutions on a finitistic space having mod 2 cohomology of the product of three spheres . This paper generalizes the results proved by D...
{"title":"Orbit spaces of free involutions on the product of three spheres","authors":"Dimpi, Hemant Kumar Singh","doi":"10.2989/16073606.2023.2288707","DOIUrl":"https://doi.org/10.2989/16073606.2023.2288707","url":null,"abstract":"In this paper, we have determined the orbit spaces of free involutions on a finitistic space having mod 2 cohomology of the product of three spheres . This paper generalizes the results proved by D...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"30 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140036033","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}
Pub Date : 2024-02-29DOI: 10.2989/16073606.2023.2279268
Jesse Ira Deutsch
A quadratic form is universal if it represents all totally positive integers in a number field. In classical number theory over the rational integers there are some results where a quadratic form t...
{"title":"Near universal property of a quadratic form of Hessian discriminant 4","authors":"Jesse Ira Deutsch","doi":"10.2989/16073606.2023.2279268","DOIUrl":"https://doi.org/10.2989/16073606.2023.2279268","url":null,"abstract":"A quadratic form is universal if it represents all totally positive integers in a number field. In classical number theory over the rational integers there are some results where a quadratic form t...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"73 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140003657","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}
In the paper, we describe the automorphisms on the solvable Leibniz algebras with the model or abelian nilradicals, whose complementary spaces are equal to two and one, respectively. We show that a...
本文讨论了互补空间分别为2和1的可解莱布尼兹代数上的自同构。我们证明了…
{"title":"Local and 2-local automorphisms of solvable Leibniz algebras with abelian and model nilradicals","authors":"Iqboljon Karimjanov, Sardorbek Umrzaqov, Bakhtiyor Yusupov","doi":"10.2989/16073606.2023.2278745","DOIUrl":"https://doi.org/10.2989/16073606.2023.2278745","url":null,"abstract":"In the paper, we describe the automorphisms on the solvable Leibniz algebras with the model or abelian nilradicals, whose complementary spaces are equal to two and one, respectively. We show that a...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"27 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536642","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}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2283137
Cheng-Kai Liu
Let R be a (semi-) prime ring with extended centroid C, let f(X1, … , Xk) be a multilinear polynomial over C in k noncommutative indeterminates which is not central-valued on R and let g be a gener...
{"title":"Generalized derivations with nilpotent values in semiprime rings","authors":"Cheng-Kai Liu","doi":"10.2989/16073606.2023.2283137","DOIUrl":"https://doi.org/10.2989/16073606.2023.2283137","url":null,"abstract":"Let R be a (semi-) prime ring with extended centroid C, let f(X1, … , Xk) be a multilinear polynomial over C in k noncommutative indeterminates which is not central-valued on R and let g be a gener...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"33 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536630","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}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2282157
Mbekezeli Nxumalo
We use the notion of a remote collection of a Tychonoff space to define a remote sublocale of any locale. Our definition is conservative, in the sense that, a subset is remote if and only if the sub...
{"title":"Remote sublocales","authors":"Mbekezeli Nxumalo","doi":"10.2989/16073606.2023.2282157","DOIUrl":"https://doi.org/10.2989/16073606.2023.2282157","url":null,"abstract":"We use the notion of a remote collection of a Tychonoff space to define a remote sublocale of any locale. Our definition is conservative, in the sense that, a subset is remote if and only if the sub...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"24 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536627","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}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2281570
Meiram Akhymbek, Kanat Tulenov, Gulnur Zaur
In this paper, we investigate the spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces over a finite interval and a half line, thereby extending Boyd’s and Leibowitz’s results fo...
{"title":"Spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces","authors":"Meiram Akhymbek, Kanat Tulenov, Gulnur Zaur","doi":"10.2989/16073606.2023.2281570","DOIUrl":"https://doi.org/10.2989/16073606.2023.2281570","url":null,"abstract":"In this paper, we investigate the spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces over a finite interval and a half line, thereby extending Boyd’s and Leibowitz’s results fo...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536620","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}
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