Pub Date : 2022-12-31DOI: 10.46754/jmsi.2022.12.006
Yeoh Wei, Z. Salleh
Based on Bella and Spadaro (2017), a topological space T is called cellular-Lindelof if for every family F of pairwise disjoint nonempty open subsets of T, there exists a Lindelof subspace L subset T such that F intersection L ≠ empty set for every F∈F. The aim of this paper is to investigate the properties of cellular Lindelof spaces, its relation with other spaces and find cardinal inequality for cellular-Lindelof spaces based on the Erdos and Rado theorem. The concept of cellular-Lindelof was utilized to show the properties of cellular-Lindelof spaces and its relation with other spaces. We obtain few examples of topological spaces which are not cellular-Lindelof. Erdos and Rado theorem is a theorem based on intersecting set families. Cardinal inequality that was found is based on lemma from Erdos and Rado theorem and information obtained from some journal papers. The study of cellular-Lindelof spaces is the extension study of Lindelof spaces and this is important as it can become a reference material for the future researchers. The central object of the study of topological dynamics is a topological dynamical system, where topological spaces needed. Thus, the study of cellular-Lindelof spaces is also important to the field of dynamical system.
基于Bella and Spadaro(2017)，如果对于T的成对不相交的非空开子集的每一族F，存在一个Lindelof子空间L子集T，使得对于每一个F∈F, F交L≠空集，则拓扑空间T称为细胞林德洛夫。本文的目的是研究元胞林德洛夫空间的性质及其与其他空间的关系，并根据Erdos定理和Rado定理找到元胞林德洛夫空间的基数不等式。利用细胞-林德洛夫的概念来说明细胞-林德洛夫空间的性质及其与其他空间的关系。我们得到了一些拓扑空间不是元胞林德洛夫的例子。Erdos和Rado定理是一个基于相交集族的定理。根据Erdos定理和Rado定理的引理和从一些期刊论文中获得的信息，发现了基数不等式。细胞林德洛夫空间的研究是林德洛夫空间的延伸研究，这对今后的研究具有重要的参考意义。拓扑动力学研究的中心对象是拓扑动力系统，其中需要拓扑空间。因此，细胞林德洛夫空间的研究对动力系统领域也具有重要意义。
{"title":"A STUDY OF SOME PROPERTIES FOR CELLULAR-LINDELOF TOPOLOGICAL SPACES","authors":"Yeoh Wei, Z. Salleh","doi":"10.46754/jmsi.2022.12.006","DOIUrl":"https://doi.org/10.46754/jmsi.2022.12.006","url":null,"abstract":"Based on Bella and Spadaro (2017), a topological space T is called cellular-Lindelof if for every family F of pairwise disjoint nonempty open subsets of T, there exists a Lindelof subspace L subset T such that F intersection L ≠ empty set for every F∈F. \u0000The aim of this paper is to investigate the properties of cellular Lindelof spaces, its relation with other spaces and find cardinal inequality for cellular-Lindelof spaces based on the Erdos and Rado theorem. The concept of cellular-Lindelof was utilized to show the properties of cellular-Lindelof spaces and its relation with other spaces. We obtain few examples of topological spaces which are not cellular-Lindelof. Erdos and Rado theorem is a theorem based on intersecting set families. Cardinal inequality that was found is based on lemma from Erdos and Rado theorem and information obtained from some journal papers. The study of cellular-Lindelof spaces is the extension study of Lindelof spaces and this is important as it can become a reference material for the future researchers. The central object of the study of topological dynamics is a topological dynamical system, where topological spaces needed. Thus, the study of cellular-Lindelof spaces is also important to the field of dynamical system.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"3 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88324990","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}
Pub Date : 2022-12-31DOI: 10.46754/jmsi.2022.12.003
A.A. Rakhimov, N.V. Raxmonova, Z. Salleh
In the paper, Rickart complex and real C*-algebra are considered. For Rickart’s real C*-algebra, its connection with the enveloping (complex) C*-algebra is studied. It is shown that the fact that A is a Rickart real C*-algebra does not imply that a complexification A +i A of A is a Rickart (complex) C*-algebra. Proved that if A is a real C*-algebra and A +i A is a Rickart C*-algebra, then A +i A is a Rickart real C*-algebra. It is shown that there exists a Rickart real C*-algebra whose projection lattice is not complete.
{"title":"A CONNECTION BETWEEN RICKART REAL C*-ALGEBRA AND ENVELOPING RICKART C*-ALGEBRA","authors":"A.A. Rakhimov, N.V. Raxmonova, Z. Salleh","doi":"10.46754/jmsi.2022.12.003","DOIUrl":"https://doi.org/10.46754/jmsi.2022.12.003","url":null,"abstract":"In the paper, Rickart complex and real C*-algebra are considered. For Rickart’s real C*-algebra, its connection with the enveloping (complex) C*-algebra is studied. It is shown that the fact that A is a Rickart real C*-algebra does not imply that a complexification A +i A of A is a Rickart (complex) C*-algebra. Proved that if A is a real C*-algebra and A +i A is a Rickart C*-algebra, then A +i A is a Rickart real C*-algebra. It is shown that there exists a Rickart real C*-algebra whose projection lattice is not complete.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"17 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81543675","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}
Pub Date : 2022-12-31DOI: 10.46754/jmsi.2022.12.004
Ali Rehman, Z. Salleh, USMAN ALI
This research paper explains the effect of Marangoni convection on unsteady squeezing flow of water base CNTs for both MWCNT and SWCNT in the presence of magnetic field and variable thermal conductivity over a stretching surface. By using the similarity transformation, the partial differential equation is converted to nonlinear fourth order ordinary differential equations. The analytical method, namely Optimal Homotopic Analysis Method used to find the analytical solution of the nonlinear problem which analyze the problem. The result of important parameters for both velocity and temperature profiles are plotted and discussed. The BVPh 2.0 package is used to obtain the convergence of the problem up to 25 iteration. The skin friction coefficient and Nusselt number is explained in table form.
{"title":"EFFECT OF MARANGONI CONVECTION ON UNSTEADY SQUEEZED FLOW OF WATER BASE CNTS NANOFLUID IN THE PRESENCE OF MAGNETIC FIELD AND VARIABLE THERMAL CONDUCTIVITY OVER A STRETCHING SURFACE","authors":"Ali Rehman, Z. Salleh, USMAN ALI","doi":"10.46754/jmsi.2022.12.004","DOIUrl":"https://doi.org/10.46754/jmsi.2022.12.004","url":null,"abstract":"This research paper explains the effect of Marangoni convection on unsteady squeezing flow of water base CNTs for both MWCNT and SWCNT in the presence of magnetic field and variable thermal conductivity over a stretching surface. By using the similarity transformation, the partial differential equation is converted to nonlinear fourth order ordinary differential equations. The analytical method, namely Optimal Homotopic Analysis Method used to find the analytical solution of the nonlinear problem which analyze the problem. The result of important parameters for both velocity and temperature profiles are plotted and discussed. The BVPh 2.0 package is used to obtain the convergence of the problem up to 25 iteration. The skin friction coefficient and Nusselt number is explained in table form. ","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"105 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73692680","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}
Pub Date : 2022-12-31DOI: 10.46754/jmsi.2022.12.005
A. Sagir, S. Abdulazeez, Sani Ibrahim Doro
Developing countries like Nigeria have been hit hard by recent economic crises, and uncertainty is one of the characteristics that all prices and revenues share. A forecast of Nigerian economic growth was attempted using an artificial neural network (ANN) and statistical model to analyse the contribution of non-oil income tax generation to Nigerian economic development. While the primary objective is to develop and implement the proposed models capable of simulating a real non-oil income tax and evaluate their performances. The dataset (Corporate Income Tax) from 2015–2020 was obtained from the National Bureau of Statistics of Nigeria (NBSN). Three training algorithms for ANN were adopted, such as conjugate gradient back-propagation with Fletcher-Reeves restarts, Bayesian regularisation, and gradient descent with an adaptive learning rate, whereas in the statistical part, multiple linear regressions were applied. Comparing all the models revealed that the Bayesian regularisation produced more accurate results than the other models.
{"title":"FORECASTING NIGERIAN ECONOMIC GROWTH BASED CORPORATE INCOME TAX","authors":"A. Sagir, S. Abdulazeez, Sani Ibrahim Doro","doi":"10.46754/jmsi.2022.12.005","DOIUrl":"https://doi.org/10.46754/jmsi.2022.12.005","url":null,"abstract":"Developing countries like Nigeria have been hit hard by recent economic crises, and uncertainty is one of the characteristics that all prices and revenues share. A forecast of Nigerian economic growth was attempted using an artificial neural network (ANN) and statistical model to analyse the contribution of non-oil income tax generation to Nigerian economic development. While the primary objective is to develop and implement the proposed models capable of simulating a real non-oil income tax and evaluate their performances. The dataset (Corporate Income Tax) from 2015–2020 was obtained from the National Bureau of Statistics of Nigeria (NBSN). Three training algorithms for ANN were adopted, such as conjugate gradient back-propagation with Fletcher-Reeves restarts, Bayesian regularisation, and gradient descent with an adaptive learning rate, whereas in the statistical part, multiple linear regressions were applied. Comparing all the models revealed that the Bayesian regularisation produced more accurate results than the other models.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"93 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76674438","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}
{"title":"The Auslander-Reiten Conjecture for Group Rings","authors":"A. Bahlekeh","doi":"10.52547/ijmsi.17.2.139","DOIUrl":"https://doi.org/10.52547/ijmsi.17.2.139","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47226852","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}
{"title":"Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness","authors":"M. Moosaei, G. Rezaei, J. Jamalzadeh","doi":"10.52547/ijmsi.17.2.45","DOIUrl":"https://doi.org/10.52547/ijmsi.17.2.45","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45428917","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}
{"title":"Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$","authors":"W. A. Khan, H. Haroon","doi":"10.52547/ijmsi.17.2.171","DOIUrl":"https://doi.org/10.52547/ijmsi.17.2.171","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48349784","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}
{"title":"Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions","authors":"H. A. Hussein, A. Wanas","doi":"10.52547/ijmsi.17.2.165","DOIUrl":"https://doi.org/10.52547/ijmsi.17.2.165","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44902946","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}
{"title":"On the Properties of Balancing and Lucas-Balancing $p$-Numbers","authors":"A. Behera, P. Ray","doi":"10.52547/ijmsi.17.2.147","DOIUrl":"https://doi.org/10.52547/ijmsi.17.2.147","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49055009","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}
M. Merdan, Z. Bekiryazici, T. Kesemen, T. Khaniyev
{"title":"Transmission of Cholera Disease with Laplacian and Triangular Parameters","authors":"M. Merdan, Z. Bekiryazici, T. Kesemen, T. Khaniyev","doi":"10.52547/ijmsi.17.2.289","DOIUrl":"https://doi.org/10.52547/ijmsi.17.2.289","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49428896","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}
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