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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
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 14 Documents
 1   2 
Search results for , issue "Volume 21 Number 1 (April 2015)" : 14 Documents clear
TWO ASPECTS OF A GENERALIZED FIBONACCI SEQUENCE Tuwankotta, Johan Matheus
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.173.1-17

Abstract

In this paper we study the so-called generalized Fibonacci sequence: $x_{n+2} = \alpha x_{n+1} + \beta x_n, n\in \mathbb{N}$.  We derive an open domain around the origin of the parameter space where the sequence converges to $0$.  The limiting behavior on the boundary of this domain are: convergence to a nontrivial limit, $k$-periodic ($k\in \mathbb{N}$), or quasi-periodic.  We use the ratio of two consecutive terms of the sequence to construct a rational approximation for algebraic numbers of the form: $\sqrt{r}, r\in \mathbb{Q}$.  Using a similar idea, we extend this to higher dimension to construct a rational approximation for  $\sqrt[3]{ a + b\sqrt{c}} +  \sqrt[3]{ a - b\sqrt{c}} + d$.DOI : http://dx.doi.org/10.22342/jims.21.1.173.1-17
A SHORT NOTE ON BANDS OF GROUPS Davvaz, Bijan
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.151.19-23

Abstract

In this paper we give necessary and sufficient  conditions on a semigroup S that it be semilattice of groups, a normal band  of groups, and a matrix of groups.DOI : http://dx.doi.org/10.22342/jims.21.1.151.19-23
NUMERICAL ENTROPY PRODUCTION OF THE ONE-AND-A-HALF-DIMENSIONAL SHALLOW WATER EQUATIONS WITH TOPOGRAPHY Mungkasi, Sudi
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.198.35-43

Abstract

Numerical entropy production can be used as a smoothness indicator of solutions to conservation laws. By definition the entropy production is non-positive. However some authors, using a finite volume method framework, showed that positive overshoots of the numerical entropy production were possible for conservation laws (no source terms involved). Note that the one-and-a-half-dimensional shallow water equations without source terms are conservation laws. A report has been published regarding the behaviour of the numerical entropy production of the one-and-a-half-dimensional shallow water equations without source terms. The main result of that report was that positive overshoots of the numerical entropy production were avoided by use of a modified entropy flux which satisfies a discrete numerical entropy inequality. In the present article we consider an extension problem of the previous report. We take the one-and-a-half-dimensional shallow water equations involving topography. The topography is a source term in the considered system of equations. Our results confirm that a modified entropy flux which satisfies a discrete numerical entropy inequality is indeed required to have no positive overshoots of the entropy production.DOI : http://dx.doi.org/10.22342/jims.21.1.198.35-43
ON FREE IDEALS IN FREE ALGEBRAS OVER A COMMUTATIVE RING Wardati, Khurul; Wijayanti, Indah Emilia; Wahyuni, Sri
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.170.59-69

Abstract

Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ideal if it is a free R-submodule with the basis contained in the basis of A. The denition of free ideal and basic ideal in the free R-algebra are equivalent. The free ideal notion plays an important role in the proof of some special properties of a basic ideal that can characterize the free R-algebra. For example, a free R-algebra A is basically semisimple if and only if it is a direct sum of minimal basic ideals in A: In this work, we study the properties of basically semisimple free R-algebras.DOI : http://dx.doi.org/10.22342/jims.21.1.170.59-69
FUZZY TRANSLATIONS OF FUZZY H-IDEALS IN $BCK/BCI$-ALGEBRAS Senapati, Tapan
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.200.45-58

Abstract

In this paper, the concepts of fuzzy translation to fuzzy H-ideals in BCK/BCI-algebras are introduced. The notion of fuzzy extensions and fuzzy mul-tiplications of fuzzy H-ideals with several related properties are investigated. Also,the relationships between fuzzy translations, fuzzy extensions and fuzzy multiplica-tions of fuzzy H-ideals are investigated.DOI : http://dx.doi.org/10.22342/jims.21.1.200.45-58
ON JOINTLY PRIME RADICALS OF (R,S)-MODULES Yuwaningsih, Dian Ariesta; Wijayanti, Indah Emilia
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.199.25-34

Abstract

Let $M$ be an $(R,S)$-module. In this paper a generalization of the m-system set of modules to $(R,S)$-modules is given. Then for an $(R,S)$-submodule $N$ of $M$, we define $\sqrt[(R,S)]{N}$ as the set of $a\in M$ such that every m-system containing $a$ meets $N$. It is shown that $\sqrt[(R,S)]{N}$ is the intersection of all jointly prime $(R,S)$-submodules of $M$ containing $N$. We define jointly prime radicals of an $(R,S)$-module $M$ as $rad_{(R,S)}(M)=\sqrt[(R,S)]{0}$. Then we present some properties of jointly prime radicals of an $(R,S)$-module.DOI : http://dx.doi.org/10.22342/jims.21.1.199.25-34
CORRIGENDUM TO NEW INEQUALITIES ON HOMOGENEOUS FUNCTIONS, J. INDONES. MATH. SOC. 15 (2009), NO. 1, 49-59 Lokesha, L; Nagaraja, K M; Simsak, Y
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.201.71-72

Abstract

This is corrigendum to New Inequalities on Hoomogeneous FunctionsDOI : http://dx.doi.org/10.22342/jims.21.1.201.71-72
A SHORT NOTE ON BANDS OF GROUPS Bijan Davvaz
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.151.19-23

Abstract

In this paper we give necessary and sufficient  conditions on a semigroup S that it be semilattice of groups, a normal band  of groups, and a matrix of groups.DOI : http://dx.doi.org/10.22342/jims.21.1.151.19-23
ON FREE IDEALS IN FREE ALGEBRAS OVER A COMMUTATIVE RING Khurul Wardati; Indah Emilia Wijayanti; Sri Wahyuni
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.170.59-69

Abstract

Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ideal if it is a free R-submodule with the basis contained in the basis of A. The denition of free ideal and basic ideal in the free R-algebra are equivalent. The free ideal notion plays an important role in the proof of some special properties of a basic ideal that can characterize the free R-algebra. For example, a free R-algebra A is basically semisimple if and only if it is a direct sum of minimal basic ideals in A: In this work, we study the properties of basically semisimple free R-algebras.DOI : http://dx.doi.org/10.22342/jims.21.1.170.59-69
TWO ASPECTS OF A GENERALIZED FIBONACCI SEQUENCE Johan Matheus Tuwankotta
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.173.1-17

Abstract

In this paper we study the so-called generalized Fibonacci sequence: $x_{n+2} = \alpha x_{n+1} + \beta x_n, n\in \mathbb{N}$.  We derive an open domain around the origin of the parameter space where the sequence converges to $0$.  The limiting behavior on the boundary of this domain are: convergence to a nontrivial limit, $k$-periodic ($k\in \mathbb{N}$), or quasi-periodic.  We use the ratio of two consecutive terms of the sequence to construct a rational approximation for algebraic numbers of the form: $\sqrt{r}, r\in \mathbb{Q}$.  Using a similar idea, we extend this to higher dimension to construct a rational approximation for  $\sqrt[3]{ a + b\sqrt{c}} +  \sqrt[3]{ a - b\sqrt{c}} + d$.DOI : http://dx.doi.org/10.22342/jims.21.1.173.1-17

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