ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Graded r-Ideals
1
8
EN
R.
Abu-dawwas
Department of Mathematics, Yarmouk University, Jordan.
rrashid@yu.edu.jo
M.
Bataineh
Department of Mathematics and Statistics, Jordan University of Science and Technology, Jordan.
msbataineh@just.edu.jo
Let $G$ be a group with identity $e$ and $R$ be a commutative $G$-graded ring with nonzero unity $1$. In this article, we introduce the concept
of graded $r$-ideals. A proper graded ideal $P$ of a graded ring $R$ is said to be graded $r$-ideal if whenever $a, bin h(R)$ such that $abin P$ and $Ann(a)={0}$, then $bin P$. We study and investigate the behavior of graded $r$-ideals to introduce several results. We introduced several characterizations for graded $r$-ideals; we proved that $P$ is a graded $r$-ideal of $R$ if and only if $aP=aRbigcap P$
for all $ain h(R)$ with $Ann(a)={0}$. Also, $P$ is a graded $r$-ideal of $R$ if and only if $P=(P:a)$ for all $ain h(R)$ with $Ann(a)={0}$. Moreover,
$P$ is a graded $r$-ideal of $R$ if and only if whenever $A, B$ are graded ideals of $R$ such that $ABsubseteq P$ and $Abigcap r(h(R))neqphi$, then $Bsubseteq P$. In this article, we introduce the concept of $huz$-rings. A graded ring $R$ is said to be $huz$-ring if every homogeneous element of $R$ is either a zero divisor or a unit. In fact, we proved that $R$ is a $huz$-ring if and only if every graded ideal of $R$ is a graded $r$-ideal. Moreover, assuming that $R$ is a graded domain, we proved that ${0}$ is the only graded $r$-ideal of $R$.
Graded prime ideals, Graded r-ideals.
http://ijmsi.ir/article-1-984-en.html
http://ijmsi.ir/article-1-984-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Hereditarily Homogeneous Generalized Topological Spaces
9
18
EN
S.
P.
Department of Mathematics, University of Calicut, Kerala, India.
sinimecheri@gmail.com
In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.
$mu$-Open, $mu$-Closed, Generalized topology, Homogeneous, Hereditarily homogeneous GTS, Highly transitive permutation groups, Bihomogeneous
http://ijmsi.ir/article-1-964-en.html
http://ijmsi.ir/article-1-964-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Common Fixed Point Theorems for Weakly Compatible Mappings by (CLR) Property on Partial Metric Space
19
32
EN
F.
Nikbakhtsarvestani
Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada.
Nikbakhf@myumanitoba.ca
S. M.
Vaezpour
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran
vaez@aut.ac.ir
M.
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
masadi@iauz.ac.ir
The purpose of this paper is to obtain the common fixed point results for two pair of weakly compatible mapping by using common (CLR) property in partial metric space. Also we extend the very recent results which are presented in [17, Muhammad Sarwar, Mian Bahadur Zada and Inci M. Erhan, Common Fixed Point Theorems of Integral type on Metric Spaces and application to system of functional equations, Fixed point theory and applications, 2015, 2015:217] with proofing a new version of the continuity of partial
metric.
Fixed point, Partial metric space, (CLR)-Property.
http://ijmsi.ir/article-1-970-en.html
http://ijmsi.ir/article-1-970-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Solving A Fractional Program with Second Order Cone Constraint
33
42
EN
A.
Sadeghi
Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Iran.
: a-sadeghi@phdstu.scu.ac.ir
M.
Saraj
Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Iran.
msaraj@scu.ac.ir
N.
Mahdavi Amiri
Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran.
nezaam@sharif.edu
We consider a fractional program with both linear and quadratic equation in numerator and denominator having second order cone (SOC) constraints. With a suitable change of variable, we transform the problem into a second order cone programming (SOCP) problem.
For the quadratic fractional case, using a relaxation, the problem is reduced to a semi-definite optimization (SDO) program. The problem is solved with SDO relaxation and the obtained results are compared with the interior point method (IPM), a sequential quadratic programming (SQP) approach, an active set strategy and a genetic algorithm. It is observed that the SDO relaxation method is much more accurate and faster than the other methods. Finally,a few numerical examples are worked through to demonstrate the applicability of the procedure.
Fractional Programming, Second Order Cone, SDP Relaxation.
http://ijmsi.ir/article-1-1314-en.html
http://ijmsi.ir/article-1-1314-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Approximation by $(p,q)$-Lupac{s} Stancu Operators
43
60
EN
A.
Khan
Department of Mathematics, Aligarh Muslim University, Aligarh–202002, India.
asifjnu07@gmail.com
V.
Sharma
Department of Mathematics, Aligarh Muslim University, Aligarh–202002, India.
vinita.sha23@gmail.com
In this paper, $(p,q)$-Lupas Bernstein Stancu operators are constructed. Statistical as well as other approximation properties of $(p,q)$-Lupac{s} Stancu operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.
$(p,q)$-Integers, Lupac{s} $(p,q)$-Bernstein Stancu operators, Statistical approximation, Korovkin's type approximation.
http://ijmsi.ir/article-1-1012-en.html
http://ijmsi.ir/article-1-1012-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
On a Metric on Translation Invariant Spaces
61
67
EN
M.
Mortazavizadeh
Department of Mathematics, Ferdowsi University of Mashhad , P. O. Box 1159-91775, Mashhad, Islamic Republic of Iran.
mortazavizadeh@mail.um.ac.ir
R.
Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad , P. O. Box 1159-91775, Mashhad, Islamic Republic of Iran.
raisi@um.ac.ir
R. A.
Kamyabi Gol
Department of Mathematics, Ferdowsi University of Mashhad , P. O. Box 1159-91775, Mashhad, Islamic Republic of Iran, Centre of Ex cellence in Analysis on Algebraic Structures (CEAAS).
kamyabi@um.ac.ir
In this paper we de ne a metric on the collection of all translation
invarinat spaces on a locally compact abelian group and we study some properties
of the metric space.
Locally compact abelian group, Translation invariant space, , Translation metric.
http://ijmsi.ir/article-1-994-en.html
http://ijmsi.ir/article-1-994-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
69
77
EN
R.
Hosseini
Department of Mathematics, Azarbaijan Shahid Madani University, 35 Km Tabriz-Maraghe Road, Tabriz, Iran.
hosseini-k@azaruniv.edu
M.
Jahanshahi
Department of Mathematics, Azarbaijan Shahid Madani University, 35 Km Tabriz-Maraghe Road, Tabriz, Iran.
Jahanshahi@azaruniv.edu
A.A.
Pashavand
Institute of Mathematics and Mechanics of NAS of Azarbijan, Baku, Azarbijan.
apashavand@yahoo.com
N.
Aliev
Institute of Mathematics and Mechanics of NAS of Azarbijan, Baku, Azarbijan.
nihan@aliev.info
In this paper, we consider some boundary value problems (BVP) for fractional order partial differential equations (FPDE) with non-local boundary conditions. The solutions of these problems are presented as series solutions analytically via modified Mittag-Leffler functions. These functions have been modified by authors such that their derivatives are invariant with respect to fractional derivative. The peresented solutions for these problems are as infinite series. Convergence of series solutions and uniqueness of them are stablished by general theory of mathematical analysis and theory of ODEs.
Mittag-Lefller function, Fractional partial differential equation, Non local boundary condition.
http://ijmsi.ir/article-1-1040-en.html
http://ijmsi.ir/article-1-1040-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Labeling Subgraph Embeddings and Cordiality of Graphs
79
92
EN
Zh.-B.
Gao
College of Science, Harbin Engineering University, Harbin, 150001, P. R. China.
gaozhenbin@aliyun.com
R.-Y.
Han
College of Science, Harbin Engineering University, Harbin, 150001, P. R. China.
3213358692@qq.com
S.-M.
Lee
1403, North First Avenue, Upland, CA 91786,USA.
sinminlee@gmail.com
H.-N.
Ren
College of Science, Harbin Engineering University, Harbin, 150001, P. R. China.
1114912080@qq.com
G.-Ch.
Lau
Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (Segamat Campus), 85000 Johor, Malaysia.
geeclau@yahoo.com
Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, a vertex labeling $f : V(G)rightarrow mathbb{Z}_2$ induces an edge labeling $ f^{+} : E(G)rightarrow mathbb{Z}_2$ defined by $f^{+}(xy) = f(x) + f(y)$, for each edge $ xyin E(G)$. For each $i in mathbb{Z}_2$, let $ v_{f}(i)=|{u in V(G) : f(u) = i}|$ and $e_{f^+}(i)=|{xyin E(G) : f^{+}(xy) = i}|$. A vertex labeling $f$ of a graph $G$ is said to be friendly if $| v_{f}(1)-v_{f}(0) | leq 1$. The friendly index set of the graph $G$, denoted by $FI(G)$, is defined as ${|e_{f^+}(1) - e_{f^+}(0)|$ : the vertex labeling $f$ is friendly$}$. The full friendly index set of the graph $G$, denoted by $FFI(G)$, is defined as ${e_{f^+}(1) - e_{f^+}(0)$ : the vertex labeling $f$ is friendly$}$. A graph $G$ is cordial if $-1, 0$ or $1in FFI(G)$. In this paper, by introducing labeling subgraph embeddings method, we determine the cordiality of a family of cubic graphs which are double-edge blow-up of $P_2times P_n, nge 2$. Consequently, we completely determined friendly index and full product cordial index sets of this family of graphs.
Vertex labeling, Full friendly index set, Cordiality, $P_2$-embeddings, $C_4$-embeddings.
http://ijmsi.ir/article-1-925-en.html
http://ijmsi.ir/article-1-925-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure
93
104
EN
F.
Firuzi
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
ffiruzi@gmail.com
Y.
Alipour Fakhri
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
y_alipour@pnu.ac.ir
E.
Peyghan
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
epeyghan@gmail.com
We consider the unit tangent sphere bundle of Riemannian manifold ( M, g ) with g-natural metric
G̃ and we equip it to an almost contact B-metric structure. Considering this structure, we show that there is
a direct correlation between the Riemannian curvature tensor of ( M, g ) and local symmetry property of G̃.
More precisely, we prove that the flatness of metric g is necessary and sufficient for the g-natural metric G̃ to
be locally symmetric.
Almost contact structure, B-metrics, g-natural metrics, Local symmetry, Sphere bundle.
http://ijmsi.ir/article-1-1014-en.html
http://ijmsi.ir/article-1-1014-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
On Complementary Distance Signless Laplacian Spectral Radius and Energy of Graphs
105
125
EN
H. S.
Ramane
Department of Mathematics, Karnatak University, Dahrwad- 580003, India.
hsramane@yahoo.com
G. A.
Gudodagi
Department of Mathematics, KLE Societys, G. I. Bagewadi Arts, Science and Commerce College, Nipani 591237, Karnataka, India.
gouri.gudodagi@gmail.com
V. V.
Manjalapur
Department of Mathematics, KLE Societys, Basavaprabhu Kore Arts, Science and Commerce College, Chikodi 591201, Karnataka, India.
vinu.m001@gmail.com
A.
Alhevaz
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box: 316-3619995161, Shahrood, Iran.
a.alhevaz@shahroodut.ac.ir
Let $D$ be a diameter and $d_G(v_i, v_j)$ be the distance between the vertices $v_i$ and $v_j$ of a connected graph $G$. The complementary distance signless Laplacian matrix of a graph $G$ is $CDL^+(G)=[c_{ij}]$ in which $c_{ij}=1+D-d_G(v_i, v_j)$ if $ineq j$ and $c_{ii}=sum_{j=1}^{n}(1+D-d_G(v_i, v_j))$. The complementary transmission $CT_G(v)$ of a vertex $v$ is defined as $CT_G(v)=sum_{u in V(G)}[1+D-d_G(u, v)]$. Let $CT(G)=diag[CT_G(v_1), CT_G(v_2), ldots, CT_G(v_n)]$. The complementary distance signless Laplacian matrix of $G$ is $CDL^+(G)=CT(G)+CD(G)$.
If $rho_1, rho_2, ldots, rho_n$ are the eigenvalues of $CDL^+(G)$ then the complementary distance signless Laplacian energy of $G$ is defined as $E_{CDL^+}(G)=sum_{i=1}^{n}left| rho_i-frac{1}{n}sum_{j=1}^{n}CT_G(v_j)right|$.
noindent
In this paper we obtain the bounds for the largest eigenvalue of $CDL^+(G)$. Further we determine Nordhaus-Gaddum type results for the largest eigenvalue. In the sequel we establish the bounds for the complementary distance signless Laplacian energy.}
Complementary distance matrix, Complementary distance signless Laplacian eigenvalues, Complementary distance signless Laplacian energy, Diameter.
http://ijmsi.ir/article-1-1017-en.html
http://ijmsi.ir/article-1-1017-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Bounds on $m_r(2,29)$
127
138
EN
R.
Daskalov
Department of Mathematics, Technical University of Gabrovo, Bulgaria.
daskalovrn@gmail.com
E.
Metodieva
Department of Mathematics, Technical University of Gabrovo, Bulgaria.
metodieva56@gmail.com
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of them, are collinear. The maximum size of an $(n, r)$-arc in PG(2, q) is denoted by $m_r(2,q)$. In this paper thirteen new $(n, r)$-arc in PG(2,,29) and a table with the best known lower and upper bounds on $m_r(2,29)$ are presented. The results are obtained by non-exhaustive local computer search.
Finite projective plane, $(n,r)$-Arc in a projective plane, $(l,t)$-Blocking set in a projective plane, Maximum size of an $(n,r)$-arc
http://ijmsi.ir/article-1-1020-en.html
http://ijmsi.ir/article-1-1020-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Copresented Dimension of Modules
139
151
EN
M.
Amini
Department of Mathematics, Payame Noor University, Tehran, Iran.
mamini1356@yahoo.com
F.
Hassani
Department of Mathematics, Payame Noor University, Tehran, Iran.
Hassani@pnu.ac.ir
In this paper, a new homological dimension of modules, copresented dimension, is defined. We study some basic properties of this homological dimension. Some ring extensions are considered, too. For instance, we prove that if $Sgeq R$ is a finite normalizing extension and $S_R$ is a projective module, then for each right $S$-module $M_S$, the copresented dimension of $M_S$ does not exceed the copresented dimension of $Hom_{R}(S,M)$.
Coherent ring, Copresented, Dimension, Projective module.
http://ijmsi.ir/article-1-1036-en.html
http://ijmsi.ir/article-1-1036-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
A Bound for the Nilpotency Class of a Lie Algebra
153
156
EN
H.
Safa
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.
hesam.safa@gmail.com
In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge-
bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 1)c, where
b c denotes the integral part and d is the minimal number of generators of L.
Minimal number of generators, Nilpotency class, Nilpotent Lie algebra.
http://ijmsi.ir/article-1-1037-en.html
http://ijmsi.ir/article-1-1037-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Arithmetic Teichmuller Theory
157
171
EN
A.
Rastegar
Department of Mathematics, Sharif University of Technology, Tehran, Iran.
rastegar1352@gmail.com
By Grothedieck's Anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over number fields encode all arithmetic information of these curves. The goal of this paper is to develope and arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing the arithmetic information coming from all curves of the same topological type defined over number fields. We also introduce Hecke-Teichmuller Lie algebra which plays the role of Hecke algebra in the anabelian framework.
Anabelian geometry, Grothendieck conjectures, Huperbolic curves, Outer automorphism, Galois representation.
http://ijmsi.ir/article-1-992-en.html
http://ijmsi.ir/article-1-992-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs
173
184
EN
J.
Kok
Center for Studies in Discrete Mathematics, Vidya Academy of Science & Technology,Thrissur, India.
kokkiek2@tshwane.gov.za
K. A.
Germina
Department of Mathematics,School of Physical Sciences, Central University of Kerala, Kasargod, India.
srgerminaka@gmail.com
In the main this paper introduces the concept of chromatic harmonic polynomials denoted, $H^chi(G,x)$ and chromatic harmonic indices denoted, $H^chi(G)$ of a graph $G$. The new concept is then applied to finding explicit formula for the minimum (maximum) chromatic harmonic polynomials and the minimum (maximum) chromatic harmonic index of certain graphs. It is also applied to split graphs and certain derivative split graphs.
Chromatic harmonic index, Chromatic harmonic polynomial, Split graph, Derivative split graph
http://ijmsi.ir/article-1-1007-en.html
http://ijmsi.ir/article-1-1007-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
14
2
2019
10
1
ABSTRACTS IN PERSIAN Vol.14, No.2
185
200
EN
The Name of Authors
In This Volume
All Affilliations
fatemeh.bardestani@gmail.com
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 14, No. 2
http://ijmsi.ir/article-1-1918-en.html
http://ijmsi.ir/article-1-1918-en.pdf