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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 625 Documents
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The Probability That an Ordered Pair of Elements is an Engel Pair S.M. Jafarian Amiri; Hojjat Rostami
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 phi-2-Absorbing phi‎-2-Absorbing Primary Hyperideals of A Multiplicative Hyperring Mahdi Anbarloei
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.699.35-43

Abstract

‎Let $R$ be a multiplicative hyperring‎. ‎In this paper‎, ‎we extend the concept of 2-absorbing hyperideals and 2-absorbing primary hyperideals to the context ‎$‎\varphi‎$‎-2-absorbing hyperideals and ‎$‎\varphi‎$‎-2-absorbing primary hyperideals. Let ‎$‎E(R)‎$‎ be the set of hyperideals of ‎$‎R‎$‎‎ and ‎$\varphi : E(R) \longrightarrow E(R) \cup \{\phi\}‎$‎ be a function. A nonzero proper hyperideal ‎$‎I‎$‎ of ‎$‎R‎$‎ is called a ‎$\varphi‎$‎- 2-absorbing hyperideal if for all ‎$x, y, z \in R, xoyoz \subseteq I- \varphi(I)‎$‎ implies‎$xoy \subseteq I‎$‎ or ‎$‎yoz \subseteq I‎$‎ or ‎$‎xoz \subseteq I‎$‎. Also, a nonzero proper hyperideal ‎$‎I‎$‎ of ‎$‎R‎$‎ is called a ‎$\varphi‎$‎- 2-absorbing primary hyperideal if for all ‎$x, y, z \in R, \ xoyoz \subseteq I- \varphi(I)‎$‎ implies‎$xoy \subseteq I‎$‎ or ‎$‎yoz \subseteq r(I)‎$‎ or ‎$‎xoz \subseteq r(I)‎$‎. A number of results concerning them are given.
Fixed point Theorems for Non-self mappings with nonlinear contractive condition in strictly convex FCM-spaces Mohammad H.M. Rashid
Journal of the Indonesian Mathematical Society Volume 26 Number 1 (March 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.1.731.1-21

Abstract

In this paper we define convex, strict convex and normal structures for sets in fuzzy cone metric spaces. Also, existence and uniqueness of a fixed point for non-self mappings with nonlinear contractive condition will be proved, using the notion of strictly convex structure. Moreover, we give some examples illustrate our results.
On Ideals of Bi-Algebras S. S Ahn; J. M Ko; Arsham Borumand Saeid
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.735.24-34

Abstract

In this paper, we discuss normal subalgebras in BI-algebras and obtain the quotient BI-algebra which is useful for the study of structures of BI-algebras. Moreover, we obtain several conditions for obtaining BI-algebras on the non-negative real numbers by using an analytic methods.
Character Table Groups and Extracted Simple and Cyclic Polygroups Sara Sekhavatizadeh; Mohammad Mehdi Zahedi; Ali Iranmanesh
Journal of the Indonesian Mathematical Society Volume 26 Number 1 (March 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.1.742.22-36

Abstract

Let G be a finite group and \hat{G} be the set of all irreducible complex characters of G. In this paper, we consider <\hat{G}, *> as a polygroup, where for each chi_i ,chi_j in \hat{G} the product \chi _{i} * \chi_{j} is the set of those irreducible constituents which appear in the element-wise product \chi_{i} \chi_{j}. We call that \hat{G} simple if it has no proper normal subpolygroup and show that if \hat{G} is a single power cyclic polygroup, then \hat{G} is a simple polygroup and hence \hat{S}_{n} and \hat{A}_{n} are simple polygroups. Also, we prove that if G is a non-abelian simple group, then \hat{G} is a single power cyclic polygroup. Moreover, we classify \hat{D}_{2n} for all n. Also, we prove that \hat{T}_{4n} and \hat{U}_{6n} are cyclic polygroups with finite period.
Metric Dimension of Graph Join P2 and Pt Loeky Haryanto; Nurdin Nurdin; Hasmawati Hasmawati
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.747.75-84

Abstract

The following metric dimension of join two paths $P_2 + P_t$ is determined as follows. For every $k = 1, 2, 3, ...$ and $t = 2 + 5k$ or $t = 3 + 5k$, the dimension of $P_2 + P_t$ is $2 + 2k$ whereas for $t = 4 + 5k, t = 5(k+1)$ or $t = 1 + 5(k+1)$, the dimension is $3 + 2k$. In case $t \geq 7$, the dimension is determined by a chosen (maximal) ordered basis for $P_2 + P_t$ in which the integers 1, 2 are the two consecutive vertices of $P_2$ and the next integers $3, 4, ..., t + 2$ are the $t$ consecutive vertices of $P_t$. If $t \geq 10$, the ordered binary string contains repeated substrings of length 5. For $t < 7$, the dimension is easily found using a computer search, or even just using hand computations.
Fractional Ostrowski Type Inequalities for Functions Whose Mixed Derivatives are Prequasiinvex and alpha-Prequasiinvex Functions Badreddine Meftah; Meriem Merad; Abdourazek Souahi
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.
SG_C-Projective, Injective and Flat modules Parimala M; Udhayakumar Ramalingam
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.
On Beta-Prime Submodules Thawatchai Khumprapussorn
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.
MODELLING THE EFFECTS OF HCV PLUS-STRAND RNA INFLUX INTO A CELL DURING HCV REPLICATION Nafiu Hussaini
Journal of the Indonesian Mathematical Society Volume 26 Number 1 (March 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.1.764.37-54

Abstract

This paper presents a sub-genomic Hepatitis C Virus (HCV) replication model which incorporates the rate of influx of HCV plus-strand RNA into Huh-7 cell and monitored its effects. The schematic diagram of HCV replication has been simplified. The model exhibits three equilibrium, namely: trivial equilibrium, healthy equilibrium and endemic equilibrium. Stability analysis of the model shows that the healthy equilibrium is globally asymptotically stable under certain condition. It is shown that increase in the rate of influx, increases the steady state level of total plus strand RNA, synthesized plus strand RNA, replicated plus strand RNA and NS5B in the system. Sensitivity and uncertainty analyses of the model (using the \textit{basic replication number} (${\mathcal R}_0$) as the response function) show that the top three PRCC-ranked parameters are the rate of influx, $k_0$ of HCV plus-strand RNA, the rate of production of translation complex ($T_c$) and the rate of degradation, $\mu_{p}^{cyt}$, of plus-strand RNA $R_{P}^{cyt}$. Furthermore, the distribution of $\mathcal{R}_0$ is between $[0.9999,\, 1.0008]$ with a mean of $\mathcal{R}_{0}=1.0003$.}}

Page 44 of 63 | Total Record : 625

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