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Journal of the Indonesian Mathematical Society最新文献

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THE NON-BRAID GRAPH OF DIHEDRAL GROUP Dn 钝化组的非线性图 Dn
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2024-05-14 DOI: 10.22342/jims.30.1.1401.110-120
Hubbi Muhammad, Rambu Maya Imung Maharani, Sri Nurhayati, Mira Wadu, Yeni Susanti
{"title":"THE NON-BRAID GRAPH OF DIHEDRAL GROUP Dn","authors":"Hubbi Muhammad, Rambu Maya Imung Maharani, Sri Nurhayati, Mira Wadu, Yeni Susanti","doi":"10.22342/jims.30.1.1401.110-120","DOIUrl":"https://doi.org/10.22342/jims.30.1.1401.110-120","url":null,"abstract":"We introduce the non-braid graph of a group G, denoted by ζ(G), as a graph with vertex set G B(G), where B(G) is the braider of G, defined as the set {x ∈ G | (∀y ∈ G)xyx = yxy}, and two distinct vertices x and y are joined by an edge if and only if xyx ̸ = yxy. In this paper particularly we give the independent number, the vertex chromatic number, the clique number, and the minimum vertex cover of non-braid graph of dihedral group Dn","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140979614","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}
引用次数: 0
Generalised (k, t)-Narayana sequence 广义（k，t）-纳拉亚纳序列
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2024-05-14 DOI: 10.22342/jims.30.1.1432.121-138
Roji Bala Singla, Vinod Mishra
{"title":"Generalised (k, t)-Narayana sequence","authors":"Roji Bala Singla, Vinod Mishra","doi":"10.22342/jims.30.1.1432.121-138","DOIUrl":"https://doi.org/10.22342/jims.30.1.1432.121-138","url":null,"abstract":"In this paper, we introduces Narayana sequence in two parameters, namely, (k, t)-Narayana sequence, which is generalization of classical Narayana sequence and provide some identities and matrix expressions. Further, we find relations between (k, t)-Narayana numbers and determinants and permanents of some Hessenberg matrices. We study recurrence relations and the sum of the first n terms of this sequence. We obtain some properties from matrices. Additionally, we define (k, t)−Narayana sequence for negative subscripts and derive some relations.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140978195","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}
引用次数: 0
Hub Parameters of Hypergraph 超图的枢纽参数
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2024-04-09 DOI: 10.22342/jims.30.1.1443.100-109
Nandhini Chandrasekar, K. K. Myithili
{"title":"Hub Parameters of Hypergraph","authors":"Nandhini Chandrasekar, K. K. Myithili","doi":"10.22342/jims.30.1.1443.100-109","DOIUrl":"https://doi.org/10.22342/jims.30.1.1443.100-109","url":null,"abstract":"A hypergraph is an extension of a graph in which one edge can connect any number of vertices. In contrary, an edge connects exactly two vertices in a graph.In this paper we introduce hub-hyperpath, hubset and hubnumber of a hypergraph. Also we defined the hubnumber of a different types of hypergraphs and analyze some of its properties. Then the hub number of a hypergraph is compared with its dual hypergraph. Hubset can be useful for various tasks, such as targeted marketing and social networks. Additionally, finding the hub number of a graph is useful in network security, as it helps in identifying nodes that, if compromised, could have a significant impact on the overall network.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140727771","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}
引用次数: 0
On Weakly S-Prime Elements of Lattices 论网格的弱 S-Prime 元素
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2024-04-09 DOI: 10.22342/jims.30.1.1604.89-99
S. E. Atani
{"title":"On Weakly S-Prime Elements of Lattices","authors":"S. E. Atani","doi":"10.22342/jims.30.1.1604.89-99","DOIUrl":"https://doi.org/10.22342/jims.30.1.1604.89-99","url":null,"abstract":"Let £ be a bounded distributive lattice and S a join-subset of £. In this paper, we introduce the concept of S-prime elements (resp. weakly S-prime elements) of £. Let p be an element of £ with S ∧p = 0 (i.e. s∧p = 0 for all s ∈ S). We say that p is an S-prime element (resp. a weakly S-prime element) of £ if there is an element s ∈ S such that for all x, y ∈ £ if p ≤ x ∨ y (resp. p ≤ x ∨ y 6= 1), then p ≤ x ∨ s or p ≤ y ∨ s. We extend the notion of S-prime property in commutative rings to S-prime property in lattices.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140723391","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}
引用次数: 0
The Characterization of Almost Prime Submodule on the 6 Finitely Generated Module over Principal Ideal Domain 主理想域上 6 个有限生成模块上的几乎素子模块的特征
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2024-04-07 DOI: 10.22342/jims.30.1.1396.63-76
I. Gede, Adhitya Wisnu Wardhana, Pudji Astuti, Intan Muchtadi-Alamsyah
{"title":"The Characterization of Almost Prime Submodule on the 6 Finitely Generated Module over Principal Ideal Domain","authors":"I. Gede, Adhitya Wisnu Wardhana, Pudji Astuti, Intan Muchtadi-Alamsyah","doi":"10.22342/jims.30.1.1396.63-76","DOIUrl":"https://doi.org/10.22342/jims.30.1.1396.63-76","url":null,"abstract":"In most cases, almost prime submodules are equivalent to prime submodules, but in a finitely generated module, it is not necessarily equivalent. Based on the fact that a finitely generated module over a principal ideal domain can be decomposed into a free part and a torsion part, we give a new approach to the characteristic of almost prime submodules in the finitely generated module, especially we point out the cases when the submodules are almost prime but not prime.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140733272","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}
引用次数: 0
Analytical Solution of Equations Governing Aligned Plane Rotating Magnetohydrodynamic Fluid Through Porous Media by Martin’s Method 用马丁法分析解决多孔介质中的对齐平面旋转磁流体方程
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2024-04-04 DOI: 10.22342/jims.30.1.1356.40-62
Birendra Kumar Vishwakarma Birendra, Sayantan Sil, Manoj Kumar
{"title":"Analytical Solution of Equations Governing Aligned Plane Rotating Magnetohydrodynamic Fluid Through Porous Media by Martin’s Method","authors":"Birendra Kumar Vishwakarma Birendra, Sayantan Sil, Manoj Kumar","doi":"10.22342/jims.30.1.1356.40-62","DOIUrl":"https://doi.org/10.22342/jims.30.1.1356.40-62","url":null,"abstract":"This investigation is an approach to setup an analytical solution of steady plane allied MHD fluid flow having infinite electrical conductivity in a rotating frame through porous media by Martin’s method. The governing non-linearequations of the fluid flow are transformed into a new form called Martin’s form by employing differential geometry where the curvilinear co-ordinates (Φ, Ψ) in the plane of flow shows that, the co-ordinate lines Ψ are the streamlines of flow and the co-ordinate lines Φ are arbitrary constants. Exact solution is obtained and velocity,vorticity, current density magnetic field and pressure distribution are found out. Also, the diagrams have been plotted to sketch the streamline patterns and to study variation of pressure function with angular velocity.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140744851","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}
引用次数: 0
Modified Multiple Decrement Table and Its Credibility Based on Factor Characteristics 基于因子特征的修正倍数递减表及其可信度
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2023-07-31 DOI: 10.22342/jims.29.2.1581.245-258
Randi Deautama, Kurnia Novita Sari
{"title":"Modified Multiple Decrement Table and Its Credibility Based on Factor Characteristics","authors":"Randi Deautama, Kurnia Novita Sari","doi":"10.22342/jims.29.2.1581.245-258","DOIUrl":"https://doi.org/10.22342/jims.29.2.1581.245-258","url":null,"abstract":"The 2019 Indonesian Mortality Table IV (TMI IV) involved 52 life insurance companies in Indonesia during the study period from 2013 to 2017. From the data, there may be differences in the characteristics of company customers so that the use of TMI IV is not in accordance with these characteristics. In life insurance companies, there are types of coverage (causes), namely: NDPA, which means death due to illness or accident; PAD, which means reimbursement of medical expenses, and SRD, which is the cancellation of the policy so that the coverage ends. The Companies can construct a Life Table involving multiple causes called a Multiple Decrement (MD) Table. This table is modified into a Modified Multiple Decrement Table (MDT) by adding factors to the causes in the form of regions. The clustering of factors needs to be done to reduce the complexity of the calculation. Using the K-means method, the grouping of regions R1R9 is divided into the following: PAD causes (3 groups) and SRD (2 groups). MDT is obtained from the relationship between MD and the Associated Single Decrement (ASD). The Annual Exposure Method was used to calculate the probability of causes. Furthermore, extrapolation is performed on the probability of cause, for which there is no value, and graduation is performed on the less smooth probability of cause. Then, credibility theory is used to determine the credibility level of the industry. The industry-credible probability of cause has a value between the observed value and the industry value (TMI IV).","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139353581","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}
引用次数: 0
On A Group Involving The Automorphism of The Janko Group J2 关于涉及Janko群自同构的群[j]
Journal of the Indonesian Mathematical Society Pub Date : 2023-07-31 DOI: 10.22342/jims.29.2.1371.197-216
Ayoub Basheer
{"title":"On A Group Involving The Automorphism of The Janko Group J2","authors":"Ayoub Basheer","doi":"10.22342/jims.29.2.1371.197-216","DOIUrl":"https://doi.org/10.22342/jims.29.2.1371.197-216","url":null,"abstract":"The Janko sporadic simple group J2 has an automorphism group 2. Using the electronic Atlas of Wilson [22], the group J2:2 has an absolutely irreducible module of dimension 12 over F2. It follows that a split extension group of the form 2^12:(J2:2) := G exists. In this article we study this group, where we compute its conjugacy classes and character table using the coset analysis technique together with Clifford-Fischer Theory. The inertia factor groups of G will be determined by analysing the maximal subgroups of J2:2 and maximal of the maximal subgroups of J2:2 together with various other information. It turns out that the character table of G is a 64×64 real valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 6.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135358352","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}
引用次数: 1
On Conditions for Controllability and Local Regularity of A System of Differential Equations 论微分方程系统的可控性和局部正则性条件
IF 0.3
Journal of the Indonesian Mathematical Society Pub Date : 2023-07-31 DOI: 10.22342/jims.29.2.1584.259-270
Ahmad Hadra Zuhri, Yudi Soeharyadi, Jalina Widjaja
{"title":"On Conditions for Controllability and Local Regularity of A System of Differential Equations","authors":"Ahmad Hadra Zuhri, Yudi Soeharyadi, Jalina Widjaja","doi":"10.22342/jims.29.2.1584.259-270","DOIUrl":"https://doi.org/10.22342/jims.29.2.1584.259-270","url":null,"abstract":"We consider a system of differential equations on a Banach space X given by: x'(t) = Ax(t) + u(t)f(t, x(t)), x(0) = x0, where A is an infinitesimal generator of a C0-semigroup, f : R0+ × X → X is a locally Lipschitz function, and u ∈ Lp([0, T], R) is a control defined on [0, T] with 1 < p ≤ ∞. Using the Compactness Principle and the generalization of Gronwalls Lemma, the system is shown to be controllable for a γ-bounded function f. Another result of this study is the local existence and the uniqueness of the solution of the system for locally bounded function f through weighted ω-norm.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139353622","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}
引用次数: 0
Nonsplit Graphs with Split Maximal Induced Subgraphs 具有分裂极大诱导子图的非分裂图
Journal of the Indonesian Mathematical Society Pub Date : 2023-07-31 DOI: 10.22342/jims.29.2.988.217-234
S Monikandan, V Manikandan
{"title":"Nonsplit Graphs with Split Maximal Induced Subgraphs","authors":"S Monikandan, V Manikandan","doi":"10.22342/jims.29.2.988.217-234","DOIUrl":"https://doi.org/10.22342/jims.29.2.988.217-234","url":null,"abstract":"A split graph is a graph in which the vertices can be partitioned into an independent set and a clique. A graph is split if and only if it has no induced subgraph isomorphic to C5, C4 or 2K2, which is a well-known characterization for split graph. A property of a graph G is recognizable if it can be recognized from the collection of all maximal proper induced subgraphs of G. We show that any nonsplit graph can have at most five split maximal induced subgraphs. Also we list out all C5-free nonsplit graphs having split maximal induced subgraphs, which is the main and, in fact, tedious result of this paper","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135358351","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}
引用次数: 0
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