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Journal of the Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 625 Documents
On Fully Prime Radicals Indah Emilia Wijayanti; Dian Ariesta Yuwaningsih
Journal of the Indonesian Mathematical Society Volume 23 Number 2 (October 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.2.302.33-45

Abstract

In this paper we give a further study on fully prime submodules. For any fully prime submodules we define a product called $\am$-product. The further investigation of fully prime submodules in this work, i.e. the fully m-system and fully prime radicals, is related to this product. We show that the fully prime radical of any submodules can be characterize by the fully m-system. As a special case, the fully prime radical of a module $M$ is the intersection of all minimal fully prime submodules of $M$.
Bounds on Energy and Laplacian Energy of Graphs Sridhara G; Rajesh Kanna
Journal of the Indonesian Mathematical Society Volume 23 Number 2 (October 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.2.316.21-31

Abstract

Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to be the sum of the absolute values of the eigenvalues of G. Inthis paper, we present two new upper bounds for energy of a graph, one in terms ofm,n and another in terms of largest absolute eigenvalue and the smallest absoluteeigenvalue. The paper also contains upper bounds for Laplacian energy of graph.
Fuzzy Translations of A Fuzzy Set in UP-Algebras Aiyared Iampan
Journal of the Indonesian Mathematical Society Volume 23 Number 2 (October 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.2.371.1-19

Abstract

In this paper, we apply the concept of fuzzy translations of a fuzzy set to UP-algebras.For any fuzzy set $\mu$ in a UP-algebra,the concepts of fuzzy $\alpha$-translations of $\mu$ of type \textrm{I} and of fuzzy $\beta$-translations of $\mu$ of type \textrm{II} are introduced, their basic properties are investigated and some useful examples are discussed.The concepts of prime fuzzy sets and of weakly prime fuzzy sets in UP-algebras are also studied.Moreover, we discuss the concepts of extensions and of intensions of a fuzzy set in UP-algebras.
Green's Function for A Piecewise Continous Potential via Integral Equations Method Benali Brahim; Mohammed Tayeb Meftah; Rai Vandana
Journal of the Indonesian Mathematical Society Volume 24 Number 2 (October 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.2.387.20-35

Abstract

The aim of this work is to provide Green's function for the Schrodingerequation. The potential part in the Hamiltonian is piecewise continuous operator.It is a zero operator on a disk of radius "a" and a constant V0 outside this disk (intwo dimensions). We have used, to construct the Green's function, the technique ofthe integral equations. We have respected the boundary conditions of the problem.The discrete spectra of the Hamiltonian operator have been also derived.
On Infinitesimal Projective Transformations of the Tangent Bendle With the Complete Lift of A Finsler Metric Behroz Bidabad; Morteza MirMorhamad Rezaii; Mosayeb Zohrehvand
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.397.1-12

Abstract

Let (M,g) be a Finsler manifold and TM0 its slit tangent bundle with the complete lift metric ~g.In this paper we prove that every infinitesimal complete lift projective transformation on (TM0,~g), is an infinitesimal affine transformation. Moreover, if (M,g) is a Landsberg manifold, then there is a one-to-one correspondence between infinitesimal complete lift projective transformations on (TM0,~g) and infinitesimal affine transformations on (M,g).
ON THE DIOPHANTINE EQUATION $2^x + 17^y =z^2$ Julius Fergy T. Rabago
Journal of the Indonesian Mathematical Society Volume 22 Number 2 (October 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.2.422.177-182

Abstract

We show that the Diophantine equation 2x+ 17y = z^2, has exactlyve solutions (x; y; z) in positive integers. The only solutions are (3; 1; 5), (5; 1; 7),(6; 1; 9), (7; 3; 71) and (9; 1; 23). This note, in turn, addresses an open problemproposed by Sroysang in [10].DOI : http://dx.doi.org/10.22342/jims.22.2.422.177-182
On Strongly Associative (Semi)Hypergroups Morteza Jafarpour; Fatemeh Jantani; Violeta Leoreanu
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.424.43-54

Abstract

In this paper we introduce the notion of a strongly associative hyperoperation that we call SASS and obtain new class of semihypergroups....
First Eigenvalues of Geometric Operator under The Ricci-Bourguignon Flow Shahroud Azami
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.434.51-60

Abstract

Let $(M,g(t))$ be a compact Riemannian manifold  and  the metric $g(t)$ evolve by the Ricci-Bourguignon flow. We find the formula variation of the eigenvalues of  geometric operator $-\Delta_{\phi}+cR$ under  the Ricci-Bourguignon flow, where  $\Delta_{\phi}$  is the Witten-Laplacian operator and $R$ is the scalar curvature. In the final  we show that some quantities dependent to the eigenvalues of  the geometric operator are  nondecreasing along the Ricci-Bourguignon flow on  closed manifolds  with nonnegative curvature.
Bipolar Neutrosophic Graph Structures Muhammad Akram; Muzzamal Sitara
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.442.55-80

Abstract

In this research study, we introduce the concept of bipolar single-valued neutrosophic graph structures.We discuss certain notions of bipolar single-valued neutrosophic graph structures with examples.We present some methods of construction of bipolar single-valued neutrosophic graph structures.We also investigate some of their prosperities.
Certain Bipolar Neutrosophic Competition Graphs Muhammad Akram
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.455.1-25

Abstract

Different competitions of the real world have been designed by the bipolar neutrosophiccompetitions graphs. In this paper, we first introduce the concept of p-competition bipo-lar neutrosophic graphs. We then define generalization of bipolar neutrosophic competitiongraphs called m-step bipolar neutrosophic competition graphs. Further, we present somerelated bipolar neutrosophic graphs, including m-step bipolar neutrosophic neighbourhoodgraphs, bipolar neutrosophic economic competition graphs and m-step bipolar neutrosophiceconomic competition graphs. Finally, we describe an application of m-step bipolar neutro-sophic competition graphs.

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