Pub Date : 2024-02-04DOI: 10.29020/nybg.ejpam.v17i1.5048
Young Bae Jun, Ravikumar Bandaru, Rahul Shukla
A new type of algebraic structure, called a quasi generalized exchange algebra(qGE-algebra), with the GE-algebra conditions is introduced and its properties are investigated. The concepts of qGE-subalgebra, qGE-filter, closed qGE-filter and strong qGE-filter of a quasi GE-algebra are introduced and their relationships are discussed. The conditions for a subset of a quasi GE-algebra to be a qGE-filter are given.
{"title":"On Quasi Generalized Exchange Algebras","authors":"Young Bae Jun, Ravikumar Bandaru, Rahul Shukla","doi":"10.29020/nybg.ejpam.v17i1.5048","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5048","url":null,"abstract":"A new type of algebraic structure, called a quasi generalized exchange algebra(qGE-algebra), with the GE-algebra conditions is introduced and its properties are investigated. The concepts of qGE-subalgebra, qGE-filter, closed qGE-filter and strong qGE-filter of a quasi GE-algebra are introduced and their relationships are discussed. The conditions for a subset of a quasi GE-algebra to be a qGE-filter are given.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139866519","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 : 2024-02-04DOI: 10.29020/nybg.ejpam.v17i1.5048
Young Bae Jun, Ravikumar Bandaru, Rahul Shukla
A new type of algebraic structure, called a quasi generalized exchange algebra(qGE-algebra), with the GE-algebra conditions is introduced and its properties are investigated. The concepts of qGE-subalgebra, qGE-filter, closed qGE-filter and strong qGE-filter of a quasi GE-algebra are introduced and their relationships are discussed. The conditions for a subset of a quasi GE-algebra to be a qGE-filter are given.
{"title":"On Quasi Generalized Exchange Algebras","authors":"Young Bae Jun, Ravikumar Bandaru, Rahul Shukla","doi":"10.29020/nybg.ejpam.v17i1.5048","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5048","url":null,"abstract":"A new type of algebraic structure, called a quasi generalized exchange algebra(qGE-algebra), with the GE-algebra conditions is introduced and its properties are investigated. The concepts of qGE-subalgebra, qGE-filter, closed qGE-filter and strong qGE-filter of a quasi GE-algebra are introduced and their relationships are discussed. The conditions for a subset of a quasi GE-algebra to be a qGE-filter are given.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139806306","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.5013
Eman Abuteen
This article offers an analytical solution for the fractional Riccati differential equation in three distinct cases. These cases are determined by the discriminant and the analytical solution based on the properties of the Caputo-Fabrizio fractional derivative and integral. Several examples were tested using this analytical solution. It is noteworthy that various methods have yielded related results as indicated in the literature.
{"title":"Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative","authors":"Eman Abuteen","doi":"10.29020/nybg.ejpam.v17i1.5013","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5013","url":null,"abstract":"This article offers an analytical solution for the fractional Riccati differential equation in three distinct cases. These cases are determined by the discriminant and the analytical solution based on the properties of the Caputo-Fabrizio fractional derivative and integral. Several examples were tested using this analytical solution. It is noteworthy that various methods have yielded related results as indicated in the literature.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140472989","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.4976
C. Boonpok, Chalongchai Klanarong
Our main purpose is to introduce the concept of weakly (τ1, τ2)-continuous functions. Moreover, several characterizations of weakly (τ1, τ2)-continuous functions are considered.
{"title":"On Weakly $(tau_1,tau_2)$-continuous Functions","authors":"C. Boonpok, Chalongchai Klanarong","doi":"10.29020/nybg.ejpam.v17i1.4976","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4976","url":null,"abstract":"Our main purpose is to introduce the concept of weakly (τ1, τ2)-continuous functions. Moreover, several characterizations of weakly (τ1, τ2)-continuous functions are considered.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140477174","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.5044
Sharmia H. Kaida, Kaimar Jay S. Maharajul, Javier A. Hassan, Ladznar S. Laja, Abdurajan B. Lintasan, Aljon A. Pablo
Let G be a graph. Then B ⊆ V (G) is called a certified hop independent set of G if for every a, b ∈ B, dG(a, b) ̸= 2 and for every x ∈ B has either zero or at least two neighbors in V (G) B. The maximum cardinality among all certified hop independent sets in G, denoted by αch(G), is called the certified hop independence number of G. In this paper, we initiate the study of certified hop independence in graphs and we establish some of its properties. We give realization results involving hop independence and certified hop independence parameters, and we show that the difference between these two parameters can be made arbitrarily large. We characterize certified hop independent sets in some graphs and we use these results to obtain the exact values or bounds of the parameter. Moreover, we show that the certified hop independence and independence parameters are incomparable.
假设 G 是一个图。如果对于每个 a、b ∈ B，dG(a, b) ̸= 2，并且对于每个 x∈ B 在 V (G) B 中要么为零要么至少有两个邻居，那么 B ⊆ V (G) 称为 G 的认证跳独立集。G 中所有经认证的跳转独立集的最大心数，用 αch(G) 表示，称为 G 的经认证的跳转独立数。在本文中，我们开始研究图中经认证的跳转独立，并建立了它的一些属性。我们给出了涉及跳转独立性和认证跳转独立性参数的实现结果，并证明这两个参数之间的差值可以任意变大。我们描述了一些图中经认证的跳转独立集的特征，并利用这些结果获得了参数的精确值或边界。此外，我们还证明了经认证的跳转独立性和独立性参数是不可比的。
{"title":"Certified Hop Independence: Properties and Connections with other Variants of Independence","authors":"Sharmia H. Kaida, Kaimar Jay S. Maharajul, Javier A. Hassan, Ladznar S. Laja, Abdurajan B. Lintasan, Aljon A. Pablo","doi":"10.29020/nybg.ejpam.v17i1.5044","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5044","url":null,"abstract":"Let G be a graph. Then B ⊆ V (G) is called a certified hop independent set of G if for every a, b ∈ B, dG(a, b) ̸= 2 and for every x ∈ B has either zero or at least two neighbors in V (G) B. The maximum cardinality among all certified hop independent sets in G, denoted by αch(G), is called the certified hop independence number of G. In this paper, we initiate the study of certified hop independence in graphs and we establish some of its properties. We give realization results involving hop independence and certified hop independence parameters, and we show that the difference between these two parameters can be made arbitrarily large. We characterize certified hop independent sets in some graphs and we use these results to obtain the exact values or bounds of the parameter. Moreover, we show that the certified hop independence and independence parameters are incomparable.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475221","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.4989
Hunar Taher, Saroj Kumar Dash
Let Tm be a Tribonacci sequence, and let the k-Pell sequence be a generalization of the Pell sequence for k ≥ 2 . The first k terms are 0, 0, ..., 0, 1, and each term after the forewords is defined by linear recurrence P (k) n = 2P (k) n−1 + P (k) n−2 + ... + P (k) n−k . We study the solution of the Diophantine equation P (k) n = Tm for the positive integer (n, k, m) with k ≥ 2. We use the lower bound for linear forms in logarithms of algebraic numbers with the theory of the continued fraction.
设 Tm 为 Tribonacci 数列，k-Pell 数列是 k ≥ 2 时 Pell 数列的一般化。前 k 项分别为 0，0，...，0，1，而前项之后的每项都由线性递归 P (k) n = 2P (k) n-1 + P (k) n-2 + ... 定义。+ P (k) n-k 。我们研究 k ≥ 2 的正整数 (n, k, m) 的二叉方程 P (k) n = Tm 的解。我们利用代数数对数线性形式的下界与续分数理论。
{"title":"Common Terms of k-Pell and Tribonacci Numbers","authors":"Hunar Taher, Saroj Kumar Dash","doi":"10.29020/nybg.ejpam.v17i1.4989","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4989","url":null,"abstract":"Let Tm be a Tribonacci sequence, and let the k-Pell sequence be a generalization of the Pell sequence for k ≥ 2 . The first k terms are 0, 0, ..., 0, 1, and each term after the forewords is defined by linear recurrence P (k) n = 2P (k) n−1 + P (k) n−2 + ... + P (k) n−k . We study the solution of the Diophantine equation P (k) n = Tm for the positive integer (n, k, m) with k ≥ 2. We use the lower bound for linear forms in logarithms of algebraic numbers with the theory of the continued fraction.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140474646","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.4977
Maliwan Phattarachaleekul
This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.
本文介绍了 B-algebra (X, ∗, 0) 中的 B-filter 概念，并给出了其性质特征：对于任意 a∈ X，集合 < a >B= {a k : k∈ Z} 构成 X 的 B-ideal 和 B-filter。
{"title":"On Filter of Cyclic B-Algebras","authors":"Maliwan Phattarachaleekul","doi":"10.29020/nybg.ejpam.v17i1.4977","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4977","url":null,"abstract":"This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140476034","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.5030
Mohamed Elnair
This paper explores the intuitionistic fuzzy ideals in BE-algebras and establishes several new results related to their structure. We investigate the fundamental concepts and properties of intuitionistic fuzzy ideals and provide characterizations of an intuitionistic fuzzy ideal in BE-algebras. Our study focuses on examining the fundamental concepts and properties of these ideals and provides characterizations of intuitionistic fuzzy ideals in BE-algebras.
本文探讨了 BE 矩阵中的直观模糊理想，并建立了几个与它们的结构有关的新结果。我们研究了直观模糊理想的基本概念和性质，并给出了 BE 对象中直观模糊理想的特征。我们的研究侧重于考察这些理想的基本概念和性质，并提供了BE-代数中直观模糊理想的特征。
{"title":"More Results on Intuitionistic Fuzzy Ideals of BE-algebras","authors":"Mohamed Elnair","doi":"10.29020/nybg.ejpam.v17i1.5030","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5030","url":null,"abstract":"This paper explores the intuitionistic fuzzy ideals in BE-algebras and establishes several new results related to their structure. We investigate the fundamental concepts and properties of intuitionistic fuzzy ideals and provide characterizations of an intuitionistic fuzzy ideal in BE-algebras. Our study focuses on examining the fundamental concepts and properties of these ideals and provides characterizations of intuitionistic fuzzy ideals in BE-algebras.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140472842","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.4920
Jahiri Manditong, Aziz B. Tapeing, Javier Hassan, Alcyn R. Bakkang, Nurijam Hanna M. Mohommad, Sisteta U. Kamdon
In this paper, we initiate the study of a zero forcing hop domination in a graph. We establish some properties of this parameter and we determine its connections with other known parameters in graph theory. Moreover, we obtain some exact values or bounds of the parameter on the generalized graph, some families of graphs, and graphs under some operations via characterizations.
{"title":"Some Properties of Zero Forcing Hop Dominating Sets in a Graph","authors":"Jahiri Manditong, Aziz B. Tapeing, Javier Hassan, Alcyn R. Bakkang, Nurijam Hanna M. Mohommad, Sisteta U. Kamdon","doi":"10.29020/nybg.ejpam.v17i1.4920","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4920","url":null,"abstract":"In this paper, we initiate the study of a zero forcing hop domination in a graph. We establish some properties of this parameter and we determine its connections with other known parameters in graph theory. Moreover, we obtain some exact values or bounds of the parameter on the generalized graph, some families of graphs, and graphs under some operations via characterizations.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140477153","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 : 2024-01-31DOI: 10.29020/nybg.ejpam.v17i1.5021
R. Prasertpong, P. Julatha, Aiyared Iampan
This paper introduces the concept of fuzzy semibipolar soft filters in ordered groupoids. It is defined in the form of fuzzy semibipolar soft sets over universal sets. Then, a corresponding example is proposed. A necessary and sufficient condition for fuzzy semibipolar soft filters is provided. Finally, Green's relation $mathcal{N}$ on ordered groupoids is described in terms of fuzzy semibipolar soft filters.
{"title":"A Fuzzy Semibipolar Soft Filter and its Association with Green's Relation $mathcal{N}$","authors":"R. Prasertpong, P. Julatha, Aiyared Iampan","doi":"10.29020/nybg.ejpam.v17i1.5021","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5021","url":null,"abstract":"This paper introduces the concept of fuzzy semibipolar soft filters in ordered groupoids. It is defined in the form of fuzzy semibipolar soft sets over universal sets. Then, a corresponding example is proposed. A necessary and sufficient condition for fuzzy semibipolar soft filters is provided. Finally, Green's relation $mathcal{N}$ on ordered groupoids is described in terms of fuzzy semibipolar soft filters.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140472141","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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