{"title":"On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces","authors":"M. Çelik, Ahmed Hatip","doi":"10.54216/gjmsa.020103","DOIUrl":"https://doi.org/10.54216/gjmsa.020103","url":null,"abstract":"The aim of this paper is to generalize the neutrosophic AH-isometry into the system of refined neutrosophic numbers, where it presents an isometer between the refined neutrosophic space with one/two neutrosophic dimensions and the cartesian product of classical Euclidean spaces.Also, many refined neutrosophic geometrical surfaces such as refined circles and lines will be handled according to the isometry.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"40 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124854623","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 Some Results About the Hyers-Ulam-Rassias Stability for Semi-Linear Systems of Differential Equations","authors":"A. Admin, Taher Ahmed Jubbori","doi":"10.54216/gjmsa.060105","DOIUrl":"https://doi.org/10.54216/gjmsa.060105","url":null,"abstract":"This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential equations. Illustrative examples will be given.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"411 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121706772","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":"An Introduction To The Symbolic 3-Plithogenic Modules","authors":"Rozina Ali, Zahraa W. Hasan","doi":"10.54216/gjmsa.060102","DOIUrl":"https://doi.org/10.54216/gjmsa.060102","url":null,"abstract":"The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic module based on symbolic 3-plithogenic sets and classical modules.Also, many related substructures will be defined and handled such as AH-functions, AH-submodules, and symbolic 3-plithogenic homomorphisms.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134498396","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 Study on Compact Operators in Locally K -Convex Spaces","authors":"Karla Zayood","doi":"10.54216/gjmsa.050201","DOIUrl":"https://doi.org/10.54216/gjmsa.050201","url":null,"abstract":"In this paper we give an equivalent definition of continuous and compact linear operators by using orthogonal bases in non-archimedean locally K - convex spaces. We also show that if E is a space and F is a semi-Montel space, then every continuous linear operator T:E→F is compact.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114582885","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 Study of Some Neutrosophic Algebraic Games and Their Winning Strategies","authors":"Mehmet Merkepci, Rozina Ali","doi":"10.54216/gjmsa.020204","DOIUrl":"https://doi.org/10.54216/gjmsa.020204","url":null,"abstract":"In This work, we define two novel algebraic games over neutrosophic AH-groups. Also, we present a solution of these games in many possible cases, where some winning strategies will be discussed and illustrated by examples.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133928452","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 Study in the Integral of Sine and Cosine Functions","authors":"Maissam Jdid, F. A. Suleiman","doi":"10.54216/gjmsa.020105","DOIUrl":"https://doi.org/10.54216/gjmsa.020105","url":null,"abstract":"Trigonometric functions are among the most widely used functions in many science fields, especially sine and cosine functions because they are essential for periodic functions that describe sound and light waves in different types and wavelengths. Therefore, researchers studied the integrals of sine and cosine functions in different forms of the integrating function. In this paper, we spotlighted several most important yet under-studied integrals that are poorly mentioned in Arabic and foreign textbooks and studies. In addition, we studied Integral of Sine and Cosine for n as a positive rational number and concluded that each of these integrals leads to functional series. When studying the convergence of these series using the D'Alembert ratio test, we found that these series are convergent over the entire set of real numbers. This convergence is highly useful when applying such integrals in different science fields.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125828243","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 Some Analytical Relations Between Double Summability Methods of Abel-Natarajan","authors":"Josef Al Jumayel","doi":"10.54216/gjmsa.060203","DOIUrl":"https://doi.org/10.54216/gjmsa.060203","url":null,"abstract":"This paper is dedicated to study the analytical relations between Abel's double summability method and Natarajan's double summability method, where many theorems that draw a bridge between the mentioned methods will be obtained. The main result of our work is to prove that that summability by Natarajan's method implies summability by Abel's method in one or two variables. On the other hand, we illustrate some related examples to clarify the validity of our approach.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122241040","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":"Data with Intuitionistic Plithogenic attributes and its analysis","authors":"Prem Kumar Singh","doi":"10.54216/gjmsa.070201","DOIUrl":"https://doi.org/10.54216/gjmsa.070201","url":null,"abstract":"Recent time a problem is addressed while dealing the data with multi-valued attributes and its dynamicity. The problem is that these types of data set contain lots of opposite, non-opposite and uncertainty unconsciously. One of the suitable examples is handling soil data sets and its pattern for water storage and plant growth. The precise representation of these types of data sets and its multi-veracity is one of the crucial tasks for the data science researchers. To achieve this goal, algebra of Intuitionistic Plithogenic set and its graph is utilized in this paper. The proposed method is explained using the example of Soil pollution.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127372092","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 a Novel Generalization of p-Quasi-λ-Nuclear Operators","authors":"Othman Al Al-basheer","doi":"10.54216/gjmsa.050202","DOIUrl":"https://doi.org/10.54216/gjmsa.050202","url":null,"abstract":"In this paper we generalize the concept of 2-quasi -- nuclear operators between Normed spaces to -quasi--nuclear operators between locally convex spaces and we study the relationship between p-quasi-- nuclear, nuclear operators, -nuclear, quasi-nuclear and quasi-- nuclear. Also, we prove that the composition of two operators, one of them is a -quasi--nuclear, is again a p-quasi--nuclear operator.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129939175","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 Some Properties of Dedekind Lattices","authors":"K. Othman","doi":"10.54216/gjmsa.030102","DOIUrl":"https://doi.org/10.54216/gjmsa.030102","url":null,"abstract":"The objective of this paper is to study the Dedekind lattices, where we prove if is a -lattice and domain, then will be a Dedekind domain if and only if every non zero maximal element is invertible. On the other hand, we prove that if is a domain and -lattices, then is a dedehind domain if and only if is a UFD lattices and every non zero prime element is maximal.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129429754","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}