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Geometric inequality of warped product semi-slant submanifolds of locally product Riemannian manifolds 局部乘积黎曼流形的翘曲乘积半倾斜子流形的几何不等式
Cogent mathematics & statistics Pub Date : 2019-01-01 DOI: 10.1080/25742558.2019.1602017
Rifaqat Ali, Wan Ainun Mior Othman
{"title":"Geometric inequality of warped product semi-slant submanifolds of locally product Riemannian manifolds","authors":"Rifaqat Ali, Wan Ainun Mior Othman","doi":"10.1080/25742558.2019.1602017","DOIUrl":"https://doi.org/10.1080/25742558.2019.1602017","url":null,"abstract":"Abstract In the present article, we derive an inequality in terms of slant immersions and well define warping function for the squared norm of second fundamental form for warped product semi-slant submanifold in a locally product Riemannian manifold. Moreover, the equality cases are verified and generalized the inequality for semi-invariant warped products in locally Riemannain product manifold.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1602017","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41332917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On α-skew McCoy ideals related to a monoid 关于与单似体相关的α-偏McCoy理想
Cogent mathematics & statistics Pub Date : 2019-01-01 DOI: 10.1080/25742558.2018.1564169
V. Aghapouramin, M. Nikmehr
{"title":"On α-skew McCoy ideals related to a monoid","authors":"V. Aghapouramin, M. Nikmehr","doi":"10.1080/25742558.2018.1564169","DOIUrl":"https://doi.org/10.1080/25742558.2018.1564169","url":null,"abstract":"Abstract Let α be an endomorphism of an arbitrary ring with identity. The aim of this article is to introduce the ideal of as an α-skew M-McCoy which is a generalization of α-rigid ideals and McCoy ideals and to investigate its properties. α-skew M-McCoy is an α-skew McCoy ideals relative to a monoid . The findings show that if for some positive integer and be an α-skew M-McCoy left ideal of then is α-skew M-McCoy left ideal of . Also if be a locally finite ring and be an α-skew M-McCoy left ideal of , then is α-semicommutative left ideal of .","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1564169","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48033325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Leading eigenvalues of adjacency matrices of star-like graphs with fixed numbers of vertices and edges 具有固定顶点和边数的星形图邻接矩阵的首特征值
Cogent mathematics & statistics Pub Date : 2019-01-01 DOI: 10.1080/25742558.2019.1628513
William D. Fries, Miaohua Jiang
{"title":"Leading eigenvalues of adjacency matrices of star-like graphs with fixed numbers of vertices and edges","authors":"William D. Fries, Miaohua Jiang","doi":"10.1080/25742558.2019.1628513","DOIUrl":"https://doi.org/10.1080/25742558.2019.1628513","url":null,"abstract":"Abstract For a sequence of adjacency matrices, describing the unfolding of a network from the graph of a star, through graphs of a broom, to the graph of a link with constant vertices and edges, we show that the leading eigenvalue (the spectral radius) satisfies a simple algebraic equation. The equation allows easy numerical computation of the leading eigenvalue as well as a direct proof of its monotonicity in terms of the maximal degree of vertices.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1628513","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42619631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces Hilbert空间上一类随机偏泛函积分微分方程的几乎肯定渐近稳定性
Cogent mathematics & statistics Pub Date : 2019-01-01 DOI: 10.1080/25742558.2019.1602928
M. Dieye, M. Diop, K. Ezzinbi
{"title":"Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces","authors":"M. Dieye, M. Diop, K. Ezzinbi","doi":"10.1080/25742558.2019.1602928","DOIUrl":"https://doi.org/10.1080/25742558.2019.1602928","url":null,"abstract":"Abstract In this work, we study the asymptotic behavior of the mild solutions of a class of stochastic partial functional integrodifferential equation on Hilbert spaces. Using the stochastic convolution developed, we establish the exponential stability in mean square with p ≥ 2. Also, pathwise exponential stability is proved for p> 2. We extend the result of an example is provided for illustration.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1602928","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48089349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Statement of Retraction: Design of an efficient and complete elicitation decision process in contingent valuation method 撤回声明：或有估值方法中一个高效完整的启发式决策过程的设计
Cogent mathematics & statistics Pub Date : 2019-01-01 DOI: 10.1080/25742558.2019.1703298
{"title":"Statement of Retraction: Design of an efficient and complete elicitation decision process in contingent valuation method","authors":"","doi":"10.1080/25742558.2019.1703298","DOIUrl":"https://doi.org/10.1080/25742558.2019.1703298","url":null,"abstract":"","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1703298","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49452454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Derivation algebra of direct sum of lie algebras 李代数的直和的推导代数
Cogent mathematics & statistics Pub Date : 2019-01-01 DOI: 10.1080/25742558.2019.1624244
M. R. Alemi, F. Saeedi
{"title":"Derivation algebra of direct sum of lie algebras","authors":"M. R. Alemi, F. Saeedi","doi":"10.1080/25742558.2019.1624244","DOIUrl":"https://doi.org/10.1080/25742558.2019.1624244","url":null,"abstract":"Abstract Let and be two finite dimensional Lie algebras on arbitrary field F with no common direct factor and . In this article, we express the structure and dimension of derivation algebra of , , and some of their subalgebras in terms of , , , and .","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1624244","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44288950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Study-type determinants and their properties 学习型决定因素及其性质
Cogent mathematics & statistics Pub Date : 2018-05-16 DOI: 10.1080/25742558.2019.1683131
Naoya Yamaguchi
{"title":"Study-type determinants and their properties","authors":"Naoya Yamaguchi","doi":"10.1080/25742558.2019.1683131","DOIUrl":"https://doi.org/10.1080/25742558.2019.1683131","url":null,"abstract":"Abstract In this paper, we define the concept of the Study-type determinant, and we present some properties of these determinants. These properties lead to some properties of the Study determinant. The properties of the Study-type determinants are obtained using a commutative diagram. This diagram leads not only to these properties but also to an inequality for the degrees of representations and to an extension of Dedekind’s theorem.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1683131","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42187187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator 一类边值条件含p(k)-拉普拉斯算子的差分方程无穷多个解的存在性
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1428030
M. Khaleghi Moghadam, Lishan Liu
{"title":"Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator","authors":"M. Khaleghi Moghadam, Lishan Liu","doi":"10.1080/23311835.2018.1428030","DOIUrl":"https://doi.org/10.1080/23311835.2018.1428030","url":null,"abstract":"The existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23311835.2018.1428030","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60067338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Some fuzzy fixed point results for fuzzy mappings in complete b-metric spaces 完备b-度量空间中模糊映射的一些模糊不动点结果
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1458933
W. Kumam, P. Sukprasert, P. Kumam, A. Shoaib, Aqeel Shahzad, Qasim Mahmood
{"title":"Some fuzzy fixed point results for fuzzy mappings in complete b-metric spaces","authors":"W. Kumam, P. Sukprasert, P. Kumam, A. Shoaib, Aqeel Shahzad, Qasim Mahmood","doi":"10.1080/25742558.2018.1458933","DOIUrl":"https://doi.org/10.1080/25742558.2018.1458933","url":null,"abstract":"In this paper, we establish some fixed point results for fuzzy mapping in a complete b-metric space. Our results unify, extend and generalize several results in the existing literature. Example is also given to support our results.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1458933","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46864430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
Multinomial approximation to the Kolmogorov Forward Equation for jump (population) processes 跳跃(总体)过程的Kolmogorov前向方程的多项逼近
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1556192
M. Natiello, Raúl H. Barriga, M. Otero, H. Solari
{"title":"Multinomial approximation to the Kolmogorov Forward Equation for jump (population) processes","authors":"M. Natiello, Raúl H. Barriga, M. Otero, H. Solari","doi":"10.1080/25742558.2018.1556192","DOIUrl":"https://doi.org/10.1080/25742558.2018.1556192","url":null,"abstract":"Abstract We develop a simulation method for Markov Jump processes with finite time steps based in a quasilinear approximation of the process and in multinomial random deviates. The second-order approximation to the generating function, Error = O(dt2), is developed in detail and an algorithm is presented. The algorithm is implemented for a Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model and compared to both the deterministic approximation and the exact simulation. Special attention is given to the problem of extinction of the infected population which is the most critical condition for the approximation.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1556192","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49024924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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