In this article we present a different class lifting modules as a proper g-lifting generalization. This class termed by Radg-lifting in this work which defined as, W is called Radg-lifting if Y ≤ W with Radg(W) ⊆ Y, there is W = A ⊕ B with A ≤ Y and Y ∩ B <
{"title":"Radg-lifting modules","authors":"Rasha Najah Mirza, Thaar Younis Ghawi","doi":"10.47974/jim-1600","DOIUrl":"https://doi.org/10.47974/jim-1600","url":null,"abstract":"In this article we present a different class lifting modules as a proper g-lifting generalization. This class termed by Radg-lifting in this work which defined as, W is called Radg-lifting if Y ≤ W with Radg(W) ⊆ Y, there is W = A ⊕ B with A ≤ Y and Y ∩ B <<g B. Thus, a ring R named Radg-lifting if R is a Radg-lifting as R-module. We determined it is structure. Several of characterizations, properties, and instances of these modules are described.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953908","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}
In this study, the ideas of Large-maximal small submodules and Large-maximal small radical of modules are presented. The primary attributes and features of the concept of large-maximal small submodules are provided. Additionally, we discuss the connections between this idea and various submodule kinds with the help of examples and observations that are relevant to our work. Where a proper submodule A of a T-module G is said to be Large-maximal small submodule, if A + B = G where B is a proper submodule of G, then B is Large-Maximal submodule of G. A Large-maximal small radical of module is the sum of all Large-maximal small submodule in G. It will be studied how this concept of radicality relates to other radical conceptions.
本文提出了模的大-极大小子模和大-极大小根的思想。给出了大-极大-小子模块概念的主要属性和特征。此外，我们通过与我们的工作相关的例子和观察，讨论了这一想法与各种子模块类型之间的联系。其中t模G的真子模a是极大子模，若a + B = G，其中B是G的真子模，则B是G的极大子模。模的极大子模是G中所有极大子模的和。本文将研究这个根性概念与其他根性概念的关系。
{"title":"Large-maximal small submodules","authors":"Wafaa H. Hanoon, Atwar A. Abboodi","doi":"10.47974/jim-1604","DOIUrl":"https://doi.org/10.47974/jim-1604","url":null,"abstract":"In this study, the ideas of Large-maximal small submodules and Large-maximal small radical of modules are presented. The primary attributes and features of the concept of large-maximal small submodules are provided. Additionally, we discuss the connections between this idea and various submodule kinds with the help of examples and observations that are relevant to our work. Where a proper submodule A of a T-module G is said to be Large-maximal small submodule, if A + B = G where B is a proper submodule of G, then B is Large-Maximal submodule of G. A Large-maximal small radical of module is the sum of all Large-maximal small submodule in G. It will be studied how this concept of radicality relates to other radical conceptions.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135954416","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}
Moahmmad Reza Farahani, Juan E. Nápoles Valdes, Murat Cancan, Saeid Jafari, Choonkil Park
We obtain a general solution of the 2-variable quadratic functional equation z(y1 + y2, y3 + y4) + z(y1-y2, y3-y4) = 2z(y1, y3) + 2z(y2, y4) and discuss the stability of the above functional equation, while the quadratic form z(a, b) = aa2 + gab + gc2 is a solution of our functional equation.
{"title":"Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms","authors":"Moahmmad Reza Farahani, Juan E. Nápoles Valdes, Murat Cancan, Saeid Jafari, Choonkil Park","doi":"10.47974/jim-1633","DOIUrl":"https://doi.org/10.47974/jim-1633","url":null,"abstract":"We obtain a general solution of the 2-variable quadratic functional equation z(y1 + y2, y3 + y4) + z(y1-y2, y3-y4) = 2z(y1, y3) + 2z(y2, y4) and discuss the stability of the above functional equation, while the quadratic form z(a, b) = aa2 + gab + gc2 is a solution of our functional equation.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958485","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}
Recently, many researchers in mathematics have been interested in finding advanced ways to increase the strength of encryption and decryption processes using complex transformational integrals. In this paper, we will show the success and ability of CSI (complex Sadik transform) in the process of encryption and decryption through practical application.
{"title":"Perform the CSI complex Sadik integral transform in cryptography","authors":"Nada Sabeeh Mohammed, Emad A. Kuffi","doi":"10.47974/jim-1628","DOIUrl":"https://doi.org/10.47974/jim-1628","url":null,"abstract":"Recently, many researchers in mathematics have been interested in finding advanced ways to increase the strength of encryption and decryption processes using complex transformational integrals. In this paper, we will show the success and ability of CSI (complex Sadik transform) in the process of encryption and decryption through practical application.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135959064","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}
We introduced a novel algebraic structure in this study with two operations, also known as y-algebras, defined its ideals and investigated a few of its properties. In particular, we showed that if is(c; +, -, 0) is a y-algebra, then (c; +) is a semigroup using identity 0. Additionally, we discussed how ideals and congruences relate to one another. We also discussed the subgroup,homomorphism and investigated some theories.
{"title":"On the j-algebra","authors":"Naba Hasoon Jabir, Areej Tawfeeq Hameed","doi":"10.47974/jim-1626","DOIUrl":"https://doi.org/10.47974/jim-1626","url":null,"abstract":"We introduced a novel algebraic structure in this study with two operations, also known as y-algebras, defined its ideals and investigated a few of its properties. In particular, we showed that if is(c; +, -, 0) is a y-algebra, then (c; +) is a semigroup using identity 0. Additionally, we discussed how ideals and congruences relate to one another. We also discussed the subgroup,homomorphism and investigated some theories.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958107","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}
A delay differential equation-cholera model with infection from aquatic reservoir and environmental disinfection as intervention is constructed and analyzed in human population. It is assumed that the time lag is the period between oral intake of contaminated water or food to full cholera infection in the population. Basic properties of the model that ascertain its mathematical and epidemiological well-posedness are determined. A unique disease-free and cholera endemic equilibria are found and the control reproduction number is computed. Global and local attractiveness for disease-free and endemic equilibria are proved to depend on the control reproduction number and time delay as threshold quantities. The impacts of time delay on stability of equilibria and endemicity are studied, furthermore conditions for Hopf bifurcation are computed. Disinfection of environment is shown to increase the number of healthy individuals and lower the concentration of cholera in the environment. Numerical simulations are used to support theoretical results.
{"title":"Dynamics and control of a mathematical delayed Cholera model","authors":"A. Hassan, J. Munganga","doi":"10.47974/jim-1420","DOIUrl":"https://doi.org/10.47974/jim-1420","url":null,"abstract":"A delay differential equation-cholera model with infection from aquatic reservoir and environmental disinfection as intervention is constructed and analyzed in human population. It is assumed that the time lag is the period between oral intake of contaminated water or food to full cholera infection in the population. Basic properties of the model that ascertain its mathematical and epidemiological well-posedness are determined. A unique disease-free and cholera endemic equilibria are found and the control reproduction number is computed. Global and local attractiveness for disease-free and endemic equilibria are proved to depend on the control reproduction number and time delay as threshold quantities. The impacts of time delay on stability of equilibria and endemicity are studied, furthermore conditions for Hopf bifurcation are computed. Disinfection of environment is shown to increase the number of healthy individuals and lower the concentration of cholera in the environment. Numerical simulations are used to support theoretical results.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465242","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}
E. Rosas, C. Carpintero, J. Sanabria, Sarhad F. Namiq
In this article we obtain some answers for the open problem stated in [3] by Carpintero et al. If (,,)XIτ is an ideal topological space, under what conditions on the space and/or in the ideal, we can say that if AX⊆ such that cl(A) is an I-b-open set, then A is an I-b-open.
本文给出了Carpintero等人在[3]中提出的开放问题的一些答案。
{"title":"Characterization of I-b-open sets","authors":"E. Rosas, C. Carpintero, J. Sanabria, Sarhad F. Namiq","doi":"10.47974/jim-1466","DOIUrl":"https://doi.org/10.47974/jim-1466","url":null,"abstract":"In this article we obtain some answers for the open problem stated in [3] by Carpintero et al. If (,,)XIτ is an ideal topological space, under what conditions on the space and/or in the ideal, we can say that if AX⊆ such that cl(A) is an I-b-open set, then A is an I-b-open.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70466093","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}
The quasi-Newton plays a basic role in constructing the Hessian approximation, and quasi-Newton algorithms are built based on it. In this paper, a new class quasi-Newton equation is presented. The proposed method always generates a new descent search direction. Under appropriate conditions, the new method is proved to possess global convergence. Comparative results show the computational efficiency of the proposed method.
{"title":"Using a new class quasi-Newton equation for solving unconstrained optimization problems","authors":"Basim A. Hassan, Hawraz N. Jabbar","doi":"10.47974/jim-1493","DOIUrl":"https://doi.org/10.47974/jim-1493","url":null,"abstract":"The quasi-Newton plays a basic role in constructing the Hessian approximation, and quasi-Newton algorithms are built based on it. In this paper, a new class quasi-Newton equation is presented. The proposed method always generates a new descent search direction. Under appropriate conditions, the new method is proved to possess global convergence. Comparative results show the computational efficiency of the proposed method.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467003","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}
In this study, we have employed the concepts of ideal and grill collections with a new definition of compactness. We call it ideal grill compact space, where we have gotten the important characteristics and relationships of those spaces.
{"title":"Ideal grill compactness space","authors":"Alyaa Yousef Khudayer Mutawek, R. Al-Abdulla","doi":"10.47974/jim-1496","DOIUrl":"https://doi.org/10.47974/jim-1496","url":null,"abstract":"In this study, we have employed the concepts of ideal and grill collections with a new definition of compactness. We call it ideal grill compact space, where we have gotten the important characteristics and relationships of those spaces.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467040","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}
Md. Arman Hossen, Md. Merazur Rahman, Md. Nabil Ahmed Nahid, Rafiul Islam, S. Banshal, Vedika Gupta, Pranav Dass
In this article, we present the effect on GDP growth rate during key major pandemics in the twenty-first century. Ebola, cholera, and the most dangerous pandemic, Covid-19, are all fatal pandemics. It was said that Coronavirus started spreading from Wuhan, China. The virus then afflicted the entire human race worldwide. The major goal of this paper is to compare the most catastrophic pandemic to another pandemic in terms of its effect on GDP. This study also examined the impact of the pandemic on the stock market. We offer a descriptive examination of economic impact over the course of 19 years for different countries.
{"title":"Impact on GDP and the stock market during pandemics or epidemics of 21st century","authors":"Md. Arman Hossen, Md. Merazur Rahman, Md. Nabil Ahmed Nahid, Rafiul Islam, S. Banshal, Vedika Gupta, Pranav Dass","doi":"10.47974/jim-1533","DOIUrl":"https://doi.org/10.47974/jim-1533","url":null,"abstract":"In this article, we present the effect on GDP growth rate during key major pandemics in the twenty-first century. Ebola, cholera, and the most dangerous pandemic, Covid-19, are all fatal pandemics. It was said that Coronavirus started spreading from Wuhan, China. The virus then afflicted the entire human race worldwide. The major goal of this paper is to compare the most catastrophic pandemic to another pandemic in terms of its effect on GDP. This study also examined the impact of the pandemic on the stock market. We offer a descriptive examination of economic impact over the course of 19 years for different countries.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467874","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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