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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 16 Documents
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Search results for , issue "Volume 25 Number 2 (July 2019)" : 16 Documents clear
On The Geometric Continued Fractions in Positive Characteristic Driss, Sana; Kthiri, Hassen
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.525.139-145

Abstract

In this paper we study another form in the field of formal power series over a finite field. If the continued fraction of a formal power seriesin $\mathbb{F}_q((X^{-1}))$ begins with sufficiently largegeometric blocks, then $f$ is transcendental.
Fractional Ostrowski Type Inequalities for Functions Whose Mixed Derivatives are Prequasiinvex and alpha-Prequasiinvex Functions Meftah, Badreddine; Merad, Meriem; Souahi, Abdourazek
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.751.92-107

Abstract

In this paper, the authors introduce two new classes of generalized convexfunctions of two independent variables, and establish a new integralidentity, from which they derive some new fractional Ostrowski's integralinequalities for functions whose second derivatives are in these new classesof functions.
Differential Invariants of Two Affine Curve Families Sağıroğlu, Yasemin; Aydemir, Demet; Gözütok, Uğur
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.489.85-91

Abstract

This paper examines the affine differential invariants of two curves. The equivalence of two curves is obtained by using these invariants according to the affine group. In addition, obtained differential invariants will be shown to be the minimal system of the generators.
SG_C-Projective, Injective and Flat modules M, Parimala; Ramalingam, Udhayakumar
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.754.108-120

Abstract

In this paper we introduce the concepts of $SG_C$-projective, injective and flat modules, where $C$ is a semidualizing module and we discuss some connections among $SG_C$-projective, injective and flat modules.
The Probability That an Ordered Pair of Elements is an Engel Pair Amiri, S.M. Jafarian; Rostami, Hojjat
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.693.121-127

Abstract

Let G be a nite group. We denote by ep(G) the probability that[x;n y] = 1 for two randomly chosen elements x and y of G and some posi-tive integer n. For x 2 G we denote by EG(x) the subset fy 2 G : [y;n x] =1 for some integer ng. G is called an E-group if EG(x) is a subgroup of G for allx 2 G. Among other results, we prove that if G is an non-abelian E-group withep(G) 16 , then G is not simple and minimal non-solvable.
On Beta-Prime Submodules Khumprapussorn, Thawatchai
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.759.128-138

Abstract

We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital left modules over a commutative ring with nonzero identity. Some properties of these concepts are investigated. We use the notion of the product of two submodules to characterize $\beta$-prime submodules of a multiplication module. Characterization of $\beta$-prime and weakly $\beta$-prime submodules of arbitary modules are also given.
Complementary Ramsey Numbers Munemasa, Akihiro; Shinohara, Masashi
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.827.146-153

Abstract

In this paper, we consider a variant of Ramsey numbers which we call complementary Ramsey numbers $\bR(m,t,s)$. We first establish their connections to pairs of Ramsey $(s,t)$-graphs. Using the classification of Ramsey $(s,t)$-graphs for small $s,t$, we determine the complementary Ramsey numbers $\bR(m,t,s)$ for $(s,t)=(4,4)$ and $(3,6)$.
On spherical indicatrices of curves in Galilean 4-space G₄ Yılmaz, Süha; Unluturk, Yasin
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.473.154-170

Abstract

In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.
On spherical indicatrices of curves in Galilean 4-space G₄ Süha Yılmaz; Yasin Unluturk
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.473.154-170

Abstract

In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.
Differential Invariants of Two Affine Curve Families Yasemin Sağıroğlu; Demet Aydemir; Uğur Gözütok
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.489.85-91

Abstract

This paper examines the affine differential invariants of two curves. The equivalence of two curves is obtained by using these invariants according to the affine group. In addition, obtained differential invariants will be shown to be the minimal system of the generators.

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