{"title":"On Crossed Product Rings Over p.q.-Baer and Quasi-Baer Rings","authors":"Eltiyeb Ali","doi":"10.28924/2291-8639-21-2023-108","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-108","url":null,"abstract":"In this paper, we consider a ring R and a monoid M equipped with a twisting map f: M×M -> U(R) and an action map ω: M -> Aut(R). The main objective of our study is to investigate the conditions under which the crossed product structure R⋊M is p.q.-Baer and quasi-Baer rings, and how this property relates to the p.q.-Baer property of R and the existence of a generalized join in I(R) for M-indexed subsets, where I(R) denotes the set of ideals of R. Additionally, we prove a connection between R being a left p.q.-Baer ring and the CM-quasi-Armendariz property. Moreover, we prove that for any element φ2=φ, there exist an idempotent element e2=e such that φ = ce. We then prove that R is quasi-Baer if and only if the crossed product structure R⋊M is quasi-Baer. Finally, we present novel results regarding various constructions for crossed products.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135590487","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":"New Characterizations of the Jeribi Essential Spectrum","authors":"Belabbaci Chafika","doi":"10.28924/2291-8639-21-2023-109","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-109","url":null,"abstract":"In this paper, we give several characterizations of the Jeribi essential spectrum of a bounded linear operator defined on a Banach space by using the notion of almost weakly compact operators. As a consequence, we prove the stability of the Jeribi essential spectrum under compact perturbations. Furthermore, some characterizations of the Jeribi essential spectra of 3×3 upper triangular block operator matrix are also given.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"187 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135593797","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":"A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results","authors":"Doha A. Kattan, Hasanen A. Hammad","doi":"10.28924/2291-8639-21-2023-112","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-112","url":null,"abstract":"The psychological learning theory (PLT) in the formation of moral verdict is represented by the choice-practice paradigm. It involves weighing the effects of various options and choosing one to put into practice. This manuscript is devoted to presenting a general functional equation (FE) for observing animal behavior in such situations. The proposed equation can be used to explain a number of well-known learning and psychological theories. The existence and uniqueness of the solution to a given equation are demonstrated using fixed point (FP) techniques. Furthermore, the stability of the solution to the provided FE is explored in the sense of Hyers-Ulam-Rassias (HUR) and Hyers-Ulam (HU). Ultimately, to emphasize the importance of our results, two examples are presented.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135590366","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":"A Novel Approach for Digital Image Compression in Some Fixed Point Results on Complete G-metric Space Using Comparison Function","authors":"R. Anna Thirumalai, S. Thalapathiraj","doi":"10.28924/2291-8639-21-2023-110","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-110","url":null,"abstract":"In the present time world, digital images are crucial for various applications, that includes the medical industry, aircraft and satellite imaging, underwater imaging and so on. For this huge quantities of digital images are produced and used by these applications. For a variety of reasons, these images also need to be transmitted and stored. Therefore, a technique known as compression is applied to resolve this storage issue while transmitting these images. In this article, by extending some unique fixed point theorem results for comparison function on a complete symmetric G-metric space are used and it is a new approach. Moreover, this paper focuses on a compression method using the new structure of extended G-contraction mapping as it assists in compressing the size of the image. Thus, grayscale images are compressed using extended G-contraction mapping. And thus, grayscale images can be represented as matrices in this structure (pixel values). Also, similar images of reduced size can be obtained using an appropriate matrix G-metric and extended G-contraction mapping. The size of the matrix can be substantially reduced without losing any quality by controlling the order of sub matrices. These images are easy to store and transmit, with little variation between the original and contracted image.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135590367","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}
R. M. K. Iqbal, M. Ahmad, A. Qayyum, S. S. Supadi, M. J. Hussain, S. Raza
{"title":"On Degree-Based Topological Indices of Toeplitz Graphs","authors":"R. M. K. Iqbal, M. Ahmad, A. Qayyum, S. S. Supadi, M. J. Hussain, S. Raza","doi":"10.28924/2291-8639-21-2023-111","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-111","url":null,"abstract":"In this research paper, the determination of the orientation of a linear interpolation in an interconnected graph can be achieved by measuring its distance from a group of sonar stations strategically positioned within the graph. The study utilizes the metric dimension of toeplitz graphs. Several indices play a crucial role in analyzing motivating activities within such complex structures. The indices covered in this study include the general connectivity index of the toeplitz graph, zagreb indices, symmetric division degree index and randic indices, among others.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"194 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135590364","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":"Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric","authors":"Sunil Kumar Yadav, Abdul Haseeb, Nargis Jamal","doi":"10.28924/2291-8639-21-2023-103","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-103","url":null,"abstract":"The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds. Also, we explore the harmonic aspects of conformal η-Ricci-Yamabe soliton on Kähler spcetime manifolds with a harmonic potential function f and deduce the necessary and sufficient conditions for the 1-form η, which is the g-dual of the vector field ξ on such spacetime to be a solution of Schrödinger-Ricci equation.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815948","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":"A Hoeffding-Azuma Type Inequality for Random Processes","authors":"Mahir Hasanov","doi":"10.28924/2291-8639-21-2023-104","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-104","url":null,"abstract":"The subject of this paper is a Hoeffding-Azuma type estimation for the difference between an adapted random process and its conditional expectation given a related filtration.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815793","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}
R. Chudamani, K. Rama Prasad, K. Krishna Rao, U.M. Swamy
{"title":"Representation of ABA’s by Sections of Sheaves","authors":"R. Chudamani, K. Rama Prasad, K. Krishna Rao, U.M. Swamy","doi":"10.28924/2291-8639-21-2023-105","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-105","url":null,"abstract":"An Almost Boolean Algebra (A, ∧, ∨, 0) (abbreviated as ABA) is an Almost Distributive Lattice (ADL) with a maximal element in which for any x∈A, there exists y∈A such that x∧y = 0 and x∨y is a maximal element in A. If (S, Π, X) is a sheaf of nontrivial discrete ADL’s over a Boolean space such that for any global section f, support of f is open, then it is proved that the set Γ(X, S) of all global sections is an ABA. Conversely, it is proved that every ABA is isomorphic to the ADL of global sections of a suitable sheaf of discrete ADL’s over a Boolean space.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135816938","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":"Almost α-*-Continuity for Multifunctions","authors":"Chawalit Boonpok, Napassanan Srisarakham","doi":"10.28924/2291-8639-21-2023-107","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-107","url":null,"abstract":"This paper is concerned with the concepts of upper and lower almost α-*-continuous multifunctions. Moreover, several characterizations of upper and lower almost α-*-continuous multifunctions are investigated. In particular, the relationships between α-*-continuity and almost α-*-continuity are established.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815512","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":"Order of Approximation by a New Univariate Kantorovich Type Operator","authors":"Asha Ram Gairola, Nidhi Bisht, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra","doi":"10.28924/2291-8639-21-2023-106","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-106","url":null,"abstract":"In order to approximate Lebesgue integrable functions on [0, 1], a sequence of linear positive integral operators of Kantorovich type Lσ<sσ>f (x) with a parameter sσ is introduced. The estimates for rates of approximation for functions with a specific smoothness are proved using the appropriate modulus of continuity.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815669","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}