{"title":"Approximation via statistical $K_{a}^{2}$-convergence on two-dimensional weighted spaces","authors":"S. Yildiz","doi":"10.33044/revuma.2010","DOIUrl":"https://doi.org/10.33044/revuma.2010","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48730125","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}
Let RG′ be the vertex-edge incidence matrix of an oriented graph G′. Let Λ(Ḟ ) be the signed graph whose vertices are identified as the edges of a signed graph Ḟ , with a pair of vertices being adjacent by a positive (resp. negative) edge if and only if the corresponding edges of Ġ are adjacent and have the same (resp. different) sign. In this paper, we prove that G′ is bipartite if and only if there exists a signed graph Ḟ such that R G′ RG′ − 2I is the adjacency matrix of Λ(Ḟ ). It occurs that Ḟ is fully determined by G′. As an application, in some particular cases we express the skew eigenvalues of G′ in terms of the eigenvalues of Ḟ . We also establish some upper bounds for the skew spectral radius of G′ in both the bipartite and the non-bipartite case.
{"title":"Some relations between the skew spectrum of an oriented graph and the spectrum of certain closely associated signed graphs","authors":"Z. Stanić","doi":"10.33044/revuma.1914","DOIUrl":"https://doi.org/10.33044/revuma.1914","url":null,"abstract":"Let RG′ be the vertex-edge incidence matrix of an oriented graph G′. Let Λ(Ḟ ) be the signed graph whose vertices are identified as the edges of a signed graph Ḟ , with a pair of vertices being adjacent by a positive (resp. negative) edge if and only if the corresponding edges of Ġ are adjacent and have the same (resp. different) sign. In this paper, we prove that G′ is bipartite if and only if there exists a signed graph Ḟ such that R G′ RG′ − 2I is the adjacency matrix of Λ(Ḟ ). It occurs that Ḟ is fully determined by G′. As an application, in some particular cases we express the skew eigenvalues of G′ in terms of the eigenvalues of Ḟ . We also establish some upper bounds for the skew spectral radius of G′ in both the bipartite and the non-bipartite case.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44281268","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}
D. B. Cohen, C. Goodman-Strauss, and the author proved that a hyperbolic group admits an"SA SFT"if and only if it has at most one end. This paper has two distinct parts: the first is a conversation explaining what an SA SFT is and how they may be of use. In the second part I attempt to explain both old and new ideas that go into the proof. References to specific claims in the original paper are given, with the hope that any interested reader may be able to find the details there more accessible after reading this exposition.
D. B. Cohen, C. Goodman-Strauss和作者证明了双曲群当且仅当它最多有一端存在“SA SFT”。本文有两个不同的部分:第一部分是一个对话，解释什么是SA SFT以及它们如何使用。在第二部分中，我试图解释证明中的新旧观点。文中给出了对原始论文中具体主张的参考，希望任何感兴趣的读者在阅读本文后能够更容易地找到其中的细节。
{"title":"Strongly aperiodic SFTs on hyperbolic groups: where to find them and why we love them","authors":"Y. Rieck","doi":"10.33044/revuma.3155","DOIUrl":"https://doi.org/10.33044/revuma.3155","url":null,"abstract":"D. B. Cohen, C. Goodman-Strauss, and the author proved that a hyperbolic group admits an\"SA SFT\"if and only if it has at most one end. This paper has two distinct parts: the first is a conversation explaining what an SA SFT is and how they may be of use. In the second part I attempt to explain both old and new ideas that go into the proof. References to specific claims in the original paper are given, with the hope that any interested reader may be able to find the details there more accessible after reading this exposition.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41672293","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}
. The present paper continues our previous work [ Rev. Un. Mat. Argentina 61 (2020), no. 1, 113–130], which was devoted to showing that on every compact, connected homogeneous isoparametric submanifold M of codimension h ≥ 2 in a Euclidean space, there exists a canonical distribution which is bracket generating of step 2. In that work this fact was established for the case when the system of restricted roots is reduced. Here we complete the proof of the main result for the case in which the system of restricted roots is ( BC ) q , i.e., non-reduced.
{"title":"A canonical distribution on isoparametric submanifolds II","authors":"C. Sánchez","doi":"10.33044/revuma.1799","DOIUrl":"https://doi.org/10.33044/revuma.1799","url":null,"abstract":". The present paper continues our previous work [ Rev. Un. Mat. Argentina 61 (2020), no. 1, 113–130], which was devoted to showing that on every compact, connected homogeneous isoparametric submanifold M of codimension h ≥ 2 in a Euclidean space, there exists a canonical distribution which is bracket generating of step 2. In that work this fact was established for the case when the system of restricted roots is reduced. Here we complete the proof of the main result for the case in which the system of restricted roots is ( BC ) q , i.e., non-reduced.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"60 39","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41285337","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 this paper, we introduce a new bounded distribution by using trigonometric functions, named the cosine-sine distribution. A comprehen- sive study of its statistical properties is presented along with an application to a unit-interval data set, namely firms risk management cost-effectiveness data. The proposed distribution has increasing, bathtub and v hazard rate shapes. Further, we show that the distribution can be viewed as a truncated exponential sine distribution.
{"title":"A new trigonometric distribution with bounded support and an application","authors":"Ahmed M. T. Abd El-Bar, H. Bakouch, S. Chowdhury","doi":"10.33044/revuma.1872","DOIUrl":"https://doi.org/10.33044/revuma.1872","url":null,"abstract":". In this paper, we introduce a new bounded distribution by using trigonometric functions, named the cosine-sine distribution. A comprehen- sive study of its statistical properties is presented along with an application to a unit-interval data set, namely firms risk management cost-effectiveness data. The proposed distribution has increasing, bathtub and v hazard rate shapes. Further, we show that the distribution can be viewed as a truncated exponential sine distribution.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45578238","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}
Alberto Fleitas, J. E. Nápoles Valdés, José M. Rodríguez, José María Sigarreta-Almira
. We introduce a definition of a generalized conformable derivative of order α > 0 (where this parameter does not need to be integer), with which we overcome some deficiencies of known local derivatives, conformable or not. This definition allows us to compute fractional derivatives of functions defined on any open set on the real line (and not just on the positive half-line). Moreover, we extend some classical results to the context of fractional derivatives. Also, we obtain results for the case α > 1.
{"title":"Note on the generalized conformable derivative","authors":"Alberto Fleitas, J. E. Nápoles Valdés, José M. Rodríguez, José María Sigarreta-Almira","doi":"10.33044/revuma.1930","DOIUrl":"https://doi.org/10.33044/revuma.1930","url":null,"abstract":". We introduce a definition of a generalized conformable derivative of order α > 0 (where this parameter does not need to be integer), with which we overcome some deficiencies of known local derivatives, conformable or not. This definition allows us to compute fractional derivatives of functions defined on any open set on the real line (and not just on the positive half-line). Moreover, we extend some classical results to the context of fractional derivatives. Also, we obtain results for the case α > 1.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42302383","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}
We present ∗-primary submodules, a generalization of the concept of primary submodules of an R-module. We show that every primary submodule of a Noetherian R-module is ∗-primary. Among other things, we show that over a commutative domain R, every torsion free R-module is ∗-primary. Furthermore, we show that in a cyclic R-module, primary and ∗-primary coincide. Moreover, we give a characterization of ∗-primary submodules for some finitely generated free R-modules.
{"title":"A generalization of primary ideals and strongly prime submodules","authors":"Afroozeh Jafari, M. Baziar, S. Safaeeyan","doi":"10.33044/revuma.1783","DOIUrl":"https://doi.org/10.33044/revuma.1783","url":null,"abstract":"We present ∗-primary submodules, a generalization of the concept of primary submodules of an R-module. We show that every primary submodule of a Noetherian R-module is ∗-primary. Among other things, we show that over a commutative domain R, every torsion free R-module is ∗-primary. Furthermore, we show that in a cyclic R-module, primary and ∗-primary coincide. Moreover, we give a characterization of ∗-primary submodules for some finitely generated free R-modules.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46647707","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}
{"title":"Linear maps preserving Drazin inverses of matrices over local rings","authors":"T. Calci, Huanyin Chen, S. Halicioglu, Guo Shile","doi":"10.33044/revuma.1858","DOIUrl":"https://doi.org/10.33044/revuma.1858","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46514563","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}
. We use the Henstock–Kurzweil integral and interpolation theory to extend the Fourier cosine transform operator, broadening some classical properties such as the Riemann–Lebesgue lemma. Furthermore, we show that a qualitative difference between the cosine and sine transform is preserved on differentiable functions.
{"title":"Interpolation theory for the HK-Fourier transform","authors":"J. H. Arredondo, Alfredo Reyes","doi":"10.33044/revuma.1911","DOIUrl":"https://doi.org/10.33044/revuma.1911","url":null,"abstract":". We use the Henstock–Kurzweil integral and interpolation theory to extend the Fourier cosine transform operator, broadening some classical properties such as the Riemann–Lebesgue lemma. Furthermore, we show that a qualitative difference between the cosine and sine transform is preserved on differentiable functions.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49172831","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}
. We first give the notion of Reeb invariant Ricci tensor for real hypersurfaces M in the complex quadric Q m ∗ = SO 02 ,m /SO 2 SO m , which is defined by L ξ Ric = 0, where Ric denotes the Ricci tensor of M in Q m ∗ , and L ξ the Lie derivative along the direction of the Reeb vector field ξ = − JN . Next we give a complete classification of real hypersurfaces in the complex hyperbolic quadric Q m ∗ = SO 02 ,m /SO 2 SO m with Reeb invariant Ricci tensor.
{"title":"Real hypersurfaces in the complex hyperbolic quadric with Reeb invariant Ricci tensor","authors":"Doo Hyun Hwang, Hyunjin Lee, Y. Suh","doi":"10.33044/revuma.1975","DOIUrl":"https://doi.org/10.33044/revuma.1975","url":null,"abstract":". We first give the notion of Reeb invariant Ricci tensor for real hypersurfaces M in the complex quadric Q m ∗ = SO 02 ,m /SO 2 SO m , which is defined by L ξ Ric = 0, where Ric denotes the Ricci tensor of M in Q m ∗ , and L ξ the Lie derivative along the direction of the Reeb vector field ξ = − JN . Next we give a complete classification of real hypersurfaces in the complex hyperbolic quadric Q m ∗ = SO 02 ,m /SO 2 SO m with Reeb invariant Ricci tensor.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47957745","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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