2024-03-29T10:00:37+03:30
http://ijmsi.ir/browse.php?mag_id=33&slc_lang=en&sid=1
33-1138
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
On Beck\'s Coloring for Measurable Functions
A.
Assari
amirassari@jsu.ac.ir
M.
Rahimi
m10.rahimi@gmail.com
We study Beck-like coloring of measurable functions on a measure space $Omega$ taking values in a measurable semigroup $Delta$. To any
measure space $Omega$ and any measurable semigroup $Delta$ we assign a graph (called a zero-divisor graph) whose vertices are labelled by
the classes of measurable functions defined on $Omega$ and having values in $Delta$, with two vertices $f$ and $g$ adjacent if $f.g=0$ a.e.. We show that, if $Omega$ is atomic, then not only the Beckchr('39')s conjecture holds but also the domination number coincide to the clique number and chromatic number as well. We also determine some other graph properties of such a graph.
Zero divisor graph
Domination number
Measurable function
Clique number
Coloring.
2021
10
01
1
10
http://ijmsi.ir/article-1-1138-en.pdf
10.52547/ijmsi.16.2.1
33-1167
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces
A.
Rawshdeh
a_rawashdeh85@yahoo.com
A.
Tallafha
a.tallafha@ju.edu.jo
Tallafha, A. and Alhihi S. in [15], asked the following question. If f is a contraction from a complete semi-linear uniform space (X,Γ) to it self, is f has a unique fixed point.
In this paper, we shall answer this question negatively and we shall show that convex metric space and M-space are equivalent except uniqueness. Also we shall characterize convex metric spaces and use this characterization to give some application using semi-linear uniform spaces.
Uniform spaces
Semi-linear uniform spaces
Contractions
metric spaces
types of metric spaces.
2021
10
01
11
23
http://ijmsi.ir/article-1-1167-en.pdf
10.52547/ijmsi.16.2.11
33-1152
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
Erratum " Some result on simple hyper K- algebras ", Iranian Journal of Mathematical Sciences and Informatics Vol. 3, No. 2 (2008), pp. 29-48
S.
Madadi- Dargahi
s.madadi@shahed.ac.ir
M. A.
Nasr-Azadani
nasr@shahed.ac.ir
In this manuscript we show that the Theorem 3.28cite{C} is not correct in generally and modify it.
Simple hyper K- algebras
Positive implicative hyper K-ideal.
2021
10
01
25
29
http://ijmsi.ir/article-1-1152-en.pdf
10.52547/ijmsi.16.2.25
33-1208
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
Topological Rings and Modules Via Operations
H.
Ibrahim
hariwan_math@yahoo.com
A.
Khalaf
aliasbkhalaf@gmail.com
The structure of an $alpha_{(beta, beta)}$-topological ring is richer in comparison with the structure of an $alpha_{(beta, beta)}$-topological group. The theory of $alpha_{(beta, beta)}$-topological rings has many common features with the theory of $alpha_{(beta, beta)}$-topological groups. Formally, the theory of $alpha_{(beta, beta)}$-topological abelian groups is included in the theory of $alpha_{(beta, beta)}$-topological rings.
The purpose of this paper is to introduce and study the concepts of $alpha_{(beta, beta)}$-topological rings and $alpha_{(beta, gamma)}$-topological $R$-modules. we show how they may be introduced by specifying the neighborhoods of zero, and present some basic constructions. We provide fundamental concepts and basic results on $alpha_{(beta, beta)}$-topological rings and $alpha_{(beta, gamma)}$-topological $R$-modules.
Operations
$alpha_{beta}$-Open set
Rins
$alpha_{(beta
beta)}$-Topological rings
$alpha_{(beta
gamma)}$-Topological $R$-modules
2021
10
01
31
48
http://ijmsi.ir/article-1-1208-en.pdf
10.52547/ijmsi.16.2.31
33-1224
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
Second Hankel Determinant for a Certain Subclass of 𝝀-Pseudo-Starlike Bi-Univalent Functions
A. K.
Wanas
abbas.kareem.w@qu.edu.iq
A. M.
Majeed
abbas.alshareefi@yahoo.com
In this paper, we discuss the upper bounds for the second Hankel determinant 𝐻2(2) of a new subclass of 𝜆-pseudo-starlike bi-univalent functions defined in the open unit disk 𝑈.
Analytic functions
Bi-univalent functions
𝜆- Pseudo-starlike functions
Upper bounds
Second Hankel determinant.
2021
10
01
49
59
http://ijmsi.ir/article-1-1224-en.pdf
10.52547/ijmsi.16.2.49
33-1240
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
Some Convergence Theorems of the pul-Stieltjes Integral
G. B.
Flores
greigbates.flores@gmail.com
J.
Benitez
jbenitez@gmail.com
The PUL integral is an integration process, similar to the Kurzweil-Henstock integral, which
uses the notion of partition of unity. Boonpogkrong discussed the Kurzweil-Henstock
integral on manifolds. The PUL-Stieltjes integral, established by Flores and Benitez, is an
extension of the PUL Integral. In this paper, we present some Convergence Theorems for the
PUL-Stieltjes integral. Notions on the equi-integrability of this integral are also presented in
the paper.
PUL-Stieltjes Integral
Uniform Convergence
Equi-integrability.
2021
10
01
61
72
http://ijmsi.ir/article-1-1240-en.pdf
10.52547/ijmsi.16.2.61
33-1751
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
The Number of Subgroups of a Given Type in Certain Finite Groups
H. B.
Shelash
ameen.hayder81@gmail.com
A. R.
Ashrafi
ashrafi@kashanu.ac.ir
The number of subgroups, normal subgroups and characteristic subgroups of a finite group $G$ are denoted by $Sub(G)$, $NSub(G)$ and $CSub(G)$, respectively. The main goal of this paper is to present a matrix model for computing these positive integers for dicyclic groups, semi-dihedral groups, and three sequences $U_{6n}$, $V_{8n}$ and $H(n)$ of groups that can be presented as follows:
begin{eqnarray*}
U_{6n} &=& langle a, b mid a^{2n} = b^{3} = e, bab = arangle,
V_{8n} &=& langle a, b mid a^{2n} = b^{4} = e, aba = b^{-1}, ab^{-1}a = brangle,
H(n)&=&langle a,b,c mid a^{2^{n-2}}=b^{2}=c^{2}=e, [x,y]=[y,z]=e, x^{z}=xy rangle.
end{eqnarray*}
For each group, a matrix model containing all information is given.
Subgroup
Normal subgroup
Characteristic subgroup.
2021
10
01
73
87
http://ijmsi.ir/article-1-1751-en.pdf
10.52547/ijmsi.16.2.73
33-1288
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
On the Representation and the Uniform Polynomial Approximation of Polyanalytic Functions of Gevrey Type on the Unit Disk
S.
Kabbaj
samirkabbaj59@gmail.com
H.
Zoubeir
hzoubeir2014@gmail.com
In this paper we deÖne Gevrey polyanalytic classes of order N on the unit disk D and we characterize these classes by a speciÖc expansion into Nanalytic polynomials on suitable neighborhoods of D. As an application of our main theorem, we perform for the Gevrey polyanalytic classes of order N on the unit disk D, an analogue to E. M. Dyníkinís theorem. We derive also, for these classes, their characteristic degree of the best uniform approximation on D by Nanalytic polynomials. Keywords: Polyanalytic functions, Gevrey classes, Degree of polynomial approximation. 2000 Mathematics subject classiÖcation: 30D60, 26E05, 41A10. 1. Introduction The polyanalytic functions of order 2, the so-called bianalytic functions, originates from mechanics where they played a fundamental role in solving the problems of the planar theory of elasticity. Their usefulness in mechanics was illustrated by the pioneering works of Kolosso§, Muskhelishvili and their followers (([15])-([17]), [24], [25], [27]). By the systematic use of complex variable techniques these authors have greatly simpliÖed and extended the mathematicalmethods of the elasticity theory. The class of polyanalytic functions of order Corresponding Author 1analytic polynomials on suitable neighborhoods of D. As an application of our main theorem, we perform for the Gevrey polyanalytic classes of order N on the unit disk D, an analogue to E. M. Dyníkinís theorem. We derive also, for these classes, their characteristic degree of the best uniform approximation on D by Nanalytic polynomials. Keywords: Polyanalytic functions, Gevrey classes, Degree of polynomial approximation. 2000 Mathematics subject classiÖcation: 30D60, 26E05, 41A10. 1. Introduction The polyanalytic functions of order 2, the so-called bianalytic functions, originates from mechanics where they played a fundamental role in solving the problems of the planar theory of elasticity. Their usefulness in mechanics was illustrated by the pioneering works of Kolosso§, Muskhelishvili and their followers (([15])-([17]), [24], [25], [27]). By the systematic use of complex variable techniques these authors have greatly simpliÖed and extended the mathematicalmethods of the elasticity theory. The class of polyanalytic functions of order Corresponding Author 1analytic
polynomials.
Polyanalytic functions
Gevrey classes
Degree of polynomial approximation.
2021
10
01
89
115
http://ijmsi.ir/article-1-1288-en.pdf
10.52547/ijmsi.16.2.89
33-1291
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
On the Graded Primal Avoidance Theorem
Kh.
Al-Zoubi
kfzoubi@just.edu.jo
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded
commutative ring and $M$ a graded $R$-module. In this paper, we
generalize the graded primary avoidance theorem for modules to the graded primal avoidance theorem for
modules. we also introduce the concept of graded $P_{L}$-compactly
packed modules and give a number of its properties.
Graded primal submodules
Graded primal avoidance
Graded $P_{L}$-compactly packed modules
2021
10
01
117
124
http://ijmsi.ir/article-1-1291-en.pdf
10.52547/ijmsi.16.2.117
33-1292
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
WENO-Z Schemes with Legendre Basis for non-Linear Degenerate Parabolic Equations
R.
Abedian
rabedian@ut.ac.ir
This paper provides a fourth-order scheme for approximating solutions of non-linear degenerate parabolic equations that their solutions may contain discontinuity. In the reconstruction step, a fourth-order weighted essentially non-oscillatory (WENO) reconstruction in Legendre basis, written as a convex combination of interpolants based on different stencils, is constructed. In the one-dimensional case, the new fourth-order reconstruction is based on a four-point stencil. The most important subject is that one of these interpolation polynomials is taken as a quadratic polynomial, and the linear weights of the symmetric and convex combination are set as to get fourth-order accuracy in smooth areas. Following the methodology of the traditional WENO-Z reconstruction, the non-oscillatory weights is calculated by the linear weights. The accuracy, robustness, and high-resolution properties of the new procedure are shown by extensive numerical examples.
WENO schemes
Legendre orthogonal polynomials
multidimensional non-linear degenerate parabolic equations
porous medium equation.
2021
10
01
125
143
http://ijmsi.ir/article-1-1292-en.pdf
10.52547/ijmsi.16.2.125
33-1295
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
Ordered Γ-Semigroups and Fuzzy Γ-ideals
A.
Mahboob
khanahsan56@gmail.com
B.
Davvaz
davvaz@yazd.ac.ir
N. M.
Khan
nm_khan123@yahoo.co.in
We prove that every fuzzy generalized bi-Γ-ideal and every fuzzy interior Γ-ideal in a right weakly regular ordered Γ-semigroup is a fuzzy Γ-ideal. We also show that every fuzzy generalized bi-Γ-ideal in a duo right weakly regular ordered Γ-semigroup is a fuzzy interior Γ-ideal. Then, by using fuzzy Γ-ideals, fuzzy bi-Γ-ideals, fuzzy generalized bi-Γ-ideals and fuzzy interior Γ-ideals, left simple, right simple and simple ordered Γ-semigroups have been characterized. Finally we characterize right weakly regular ordered Γ-semigroup by its fuzzy Γ-ideals, fuzzy bi-Γ-ideals, fuzzy generalized bi-Γ-ideals and fuzzy interior Γ-ideals.
Ordered Γ-semigroup
right weakly regular ordered Γ-semigroup
Fuzzy set
Fuzzy Γ-ideals.
2021
10
01
145
162
http://ijmsi.ir/article-1-1295-en.pdf
10.52547/ijmsi.16.2.129
33-1296
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
On Nonlinear Random Approximation of 3-variable Cauchy Functional Equation
Y.
Je Cho
yjcho@gnu.ac.kr
Sh.-m.
Shin-min
smkang@gnu.ac.kr
T. M.
Rassias
trassias@math.ntua.gr
R.
Saadati
rsaadati@eml.cc
In the $RC^*$-algebras and Lie $RC^*$-algebras, we approximate the homomorphisms and derivations
for the 3-variable Cauchy functional equation, by the fixed point method.
Approximation
Functional equations
$RC^*$-algebras
Random space
2021
10
01
163
177
http://ijmsi.ir/article-1-1296-en.pdf
10.52547/ijmsi.16.2.147
33-1301
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
N-subalgebras of BCK=BCI-Algebras which are Induced from Hyperfuzzy Structures
H.
Bordbar
Bordbar.amirh@gmail.com
M. R.
Bordbar
mbordbar@qom.ac.ir
R. A.
Borzooei
Borzooei@sbu.ac.ir
Y. B.
Jun
Skywine@gmail.com
In the paper [J. Ghosh and T.K. Samanta, Hyperfuzzy sets and hyperfuzzy group, Int. J.
Advanced Sci Tech. 41 (2012), 27{37], Ghosh and Samanta introduced the concept of hyperfuzzy sets as
a generalization of fuzzy sets and interval-valued fuzzy sets, and applied it to group theory. The aim of
this manuscript is to study N-structures in BCK/BCI-algebras induced from hyperfuzzy structures.
hyperfuzzy set
hyperfuzzy structure
hyperfuzzy subalgebra
N-subalgebra
induced N- function.
2021
10
01
179
195
http://ijmsi.ir/article-1-1301-en.pdf
10.52547/ijmsi.16.2.163
33-1313
2024-03-29
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2021
16
2
A Geometric Numerical Integration of Lie-Poisson System for Ideal Compressible Isentropic Fluid
E.
Nobary
e.nobari@mazust.ac.ir
S. M.
Hosseini
hossei_m@modares.ac.ir
In this paper we apply a geometric integrator to the problem of
Lie-Poisson system for ideal compressible isentropic fluids (ICIF)
numerically. Our work is based on the decomposition of the phase
space, as the semidirect product of two infinite dimensional Lie
groups. We have shown that the solution of (ICIF) stays in
coadjoint orbit and this result extends a similar result
for matrix group discussed in [6] (Hairer, et al). By using the coadjoint action of the Lie
group on the dual of its Lie algebra to advance the numerical flow,
we (as in Engo, et al. [2]) devise methods that automatically stay on the
coadjoint orbit. The paper concludes with a concrete example.
Ideal compressible isentropic fluid
Lie-Poisson system
Semidirect product
Geometric integration
Coadjoint orbit.
2021
10
01
197
208
http://ijmsi.ir/article-1-1313-en.pdf
10.52547/ijmsi.16.2.181