ORIGINAL_ARTICLE
The (p,q,r)-generations of the alternating group A_11
A finite group G is called (l,m, n)-generated}, if it is a quotient group of the triangle group T(l,m, n) = <x, y, z|x^l = y^m = z^n = xyz = 1>. In [23], Moori posed the question of finding all the (p,q,r) triples, where p, q and r are prime numbers, such that a non-abelian finite simple group G is a (p,q,r)-generated. In this paper we establish all the (p,q,r)-generations of the alternating group A_11.$ GAP [14] and the Atlas of finite group representations[28] are used in our computations.
https://www.kjm-math.org/article_123059_118cddb09270ac12afbf0585c55b700a.pdf
2021-07-01
165
186
10.22034/kjm.2020.205718.1600
Conjugacy classes
generation
simple groups
structure constants
alternating groups
Ayoub
Basheer
ayoubbasheer@gmail.com
1
University of Limpopo
AUTHOR
Malebogo
Motalane
john.motalane@ul.ac.za
2
University of Limpopo.
LEAD_AUTHOR
Thekiso
Seretlo
thekiso.seretlo@ul.ac.za
3
School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga 0727, South Africa
AUTHOR
ORIGINAL_ARTICLE
The correspondence of Fusion frames and frames In Hilbert $C^*$-modules and finite Gabor Fusion frames
In this paper, we show that fusion frames in the finite dimensional Hilbert space $H$ correspond to frames in the Hilbert $C^*$-module $\mathcal{B}\left(\mathbb{C}^n\right)$. Moreover, we show that every tight fusion frame and Reisz fusion basis in $\mathbb{C}^n$ correspond to a tight frame and Reisz basis in the Hilbert $C^*$-module $\mathcal{B}\left(\mathbb{C}^n\right)$ respectively. Then, we use this fact to characterize the dual of Reisz fusion basis. Finally, we introduce Gabor fusion frames as a new notion.
https://www.kjm-math.org/article_123060_549a8420805639b552b28a7afb2b87be.pdf
2021-07-01
187
200
10.22034/kjm.2020.169670.1308
fusion frame
frames in Hilbert $C^*$-modules
fusion Riesz basis
time frequency representation
Gabor fusion frame
Rajab Ali
Kamyabi-Gol
kamyabi@um.ac.ir
1
Ferdowsi University of Mashhad
LEAD_AUTHOR
Mozhgan
Mohammadpour
mozhganmohammadpour@gmail.com
2
Department of Pure Mathematics, Faculty of Mathematical sciences, Ferdowsi University of Mashhad, Iran
AUTHOR
ORIGINAL_ARTICLE
Some properties of geodesic $(\alpha,E)$-preinvex functions on Riemannian manifolds
In this article, we have introduced the concept of \textit{geodesic $(\alpha,E)$-invex set} and by using this concept the notion of \textit{geodesic $(\alpha,E)$-preinvex functions} and \textit{geodesic $(\alpha,E)$-invex functions} are developed on a Riemannian manifold. Moreover, several properties and results are deduced within aforesaid functions. An example is also constructed to illustrate the definition of geodesic $(\alpha,E)$-invex set. We have also established an important relation between geodesic $(\alpha,E)$-preinvex function and geodesic $(\alpha,E)$-invex function in a complete Riemannian manifold.
https://www.kjm-math.org/article_123061_bcd8001b7bb15ca48ab4e91b0bb14fd8.pdf
2021-07-01
201
210
10.22034/kjm.2020.220226.1717
Invex sets
Invex functions
Geodesic Preinvex functions
Absos
Shaikh
aask2003@yahoo.co.in
1
University of Burdwan
LEAD_AUTHOR
Chandan
Mondal
chan.alge@gmail.com
2
University of Burdwan
AUTHOR
Ravi
Agarwal
ravi.agarwal@tamuk.edu
3
Department of Mathematics, Texas A&amp;M University, Texas
AUTHOR
ORIGINAL_ARTICLE
Multi-dimensional wavelets on Sobolev spaces
In this paper, for admissible and integrable function $\psi$ in $L^2(\mathbb{R}^n)$, the multi-dimensional continuous wavelet transform on Sobolev spaces is defined. The inversion formula for this transform on Sobolev spaces is established and as a result it is concluded that there is an isometry of Sobolev spaces $H_s(\mathbb{R}^n)$ into $H_{0,s}(\mathbb{R}^n \times \mathbb{R}^+_0\times S^{n-1})$, for arbitrary real $s$. Also, among other things, it is shown that the range of this transform is a reproducing kernel Hilbert space and the reproducing kernel is found.
https://www.kjm-math.org/article_130075_9a177af8e6f9787ecd973580817508db.pdf
2021-07-01
211
218
10.22034/kjm.2021.202782.1576
Sobolev space
similitude group
multidimensional wavelet
reproducing kernel
Fatemeh
Esmaeelzadeh
faride.esmaeelzadeh@yahoo.com
1
Islamic Azad University, Bojnourd Branch
LEAD_AUTHOR
ORIGINAL_ARTICLE
Primeness of simple modules over path algebras and Leavitt path algebras
Let K be a field and E be a directed graph, called quiver in thefollowing, and let A = KE be the path algebra that corresponds to E withcoefficients in K. An A-module M is a c-prime module in the sense that rm = 0for one m in M and r in A implies that either r annihilates all M or m = 0. Inthis paper, we prove that for any acyclic graph E, an A-module M is c-primeif and only if it is simple. The primeness of simple modules over Leavitt pathalgebras is also discussed. We prove that some classes of simple modules overLeavitt path algebras, are not c-prime modules.
https://www.kjm-math.org/article_130076_103bbc02d81ad766f14dd138a47f29a8.pdf
2021-07-01
219
231
10.22034/kjm.2021.203331.1578
Prime Modules
Path Algebras
Leavitt Path Algebras
Risnawita
Risnawita
risnawit4@s.itb.ac.id
1
Institut Teknologi Bandung
LEAD_AUTHOR
Irawati
Irawati
irawati@math.itb.ac.id
2
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung 40132, Indonesia.
AUTHOR
Intan
Alamsyah
ntan@math.itb.ac.id
3
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung 40132, Indonesia.
AUTHOR
ORIGINAL_ARTICLE
Modulation invariant spaces on locally compact abelian groups
We define and investigate modulation invariant spaces on a locally compact abelian group $G$ with respect to a closed subgroup of the dual group $\widehat{G}$. Using a range function approach, we establish a characterization of modulation invariant spaces. Finally, we define a metric on the collection of all modulation invariant spaces and study some topological properties of the metric space.
https://www.kjm-math.org/article_130362_5c9fdf9f889b12fc3a991c2cf05a3f85.pdf
2021-07-01
232
240
10.22034/kjm.2020.230232.1827
locally compact abelian group
modulation invariant space
range function
modulation metric
Mahdi
Mortazavizadeh
mortazavizadeh@um.ac.ir
1
Ferdowsi university of Mashhad
AUTHOR
Reihaneh
Raisi Tousi
raisi@um.ac.ir
2
Ferdowsi University of Mashhad
LEAD_AUTHOR
ORIGINAL_ARTICLE
Permanence and stability of multi-species nonautonomous Lotka--Volterra competitive systems with delays and feedback controls on time scales
In this paper, we consider a multi-species Lotka-Volterra type competitive system with delays and feedback controls on time scales. A general criteria on the permanence is established and then by constructing suitable Lyapunov functionals, sufficient conditions are derived for the existence anduniform asymptotic stability of unique positive almost periodic solution of the system.
https://www.kjm-math.org/article_130788_8326a9d9ee8d7740b350002a6be69d1d.pdf
2021-07-01
241
256
10.22034/kjm.2021.220759.1725
Lotka-Volterra competitive system
Feedback Control
permanence
almost periodic solution
uniform asymptotic stability
Mahammad
Khuddush
khuddush89@gmail.com
1
Department of Applied Mathematics, Andhra University, Visakhapatnam,india-530003
LEAD_AUTHOR
Kapula
Rajendra Prasad
krajendra92@rediffmail.com
2
Department of Applied Mathematics, Andhra University.
AUTHOR
ORIGINAL_ARTICLE
On the discrete group analysis for the exact solutions of some classes of the nonlinear Abel and Burgers equations
This article presents an account of the fundamentals of the discretegroup approach for analysis and integration of practicaldifferential equations. In this paper, by means of appropriatetransformations, the nonlinear Burgers equation is transformed intothe other class of the second-order differential equation of theEmden-Fowler type and this Emden-Fowler equation reduces to thenonlinear Abel equations. This approach shows that, under thistransformations of discrete group, the solution of referenceequation can be transformed into the solution of the transformedequation. Under such a conditions, we approach to the determine somesolutions for the Abel, Burgers, Emden-Fowler and heat equations.
https://www.kjm-math.org/article_130841_f5850a8d48e351b2b4da5292cbdc65f7.pdf
2021-07-01
257
265
10.22034/kjm.2021.224570.1751
Discrete group method
Abel equations
Burgers equations
Hopf-Cole transformation
Parviz
Darania
p.darania@urmia.ac.ir
1
Department of Mathematics, Urmia university&lrm; P.O.Box 165&lrm; &lrm;Urmia-Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Isbell convexity in fuzzy quasi-metric spaces
We introduce the concept of Isbell convexity in fuzzy quasi-metric spaces, which we call fuzzy Isbell convexity. This idea extends Isbell convexity (or q-hyperconvexity) in quasi-metric spaces to fuzzy quasi metric spaces. We show that fuzzy Isbell convexity is preserved by certain $F$-bounded subsets and the space of non-negative function pairs of the fuzzy quasi-metric space.
https://www.kjm-math.org/article_130888_6f5365296ff0339d167552c78991de5b.pdf
2021-07-01
266
278
10.22034/kjm.2021.227905.1801
Quasi-metric
fuzzy quasi-metric
fuzzy admissible subset
F-bounded subset
Isbell convexity
Hope
Sabao
hope.sabao@wits.ac.za
1
University of the Witwatersrand
LEAD_AUTHOR
Olivier
Otafudu
olmaolela@gmail.com
2
North-West University, Potchefstroom Campus Potchefstroom 2520 SOUTH AFRICA
AUTHOR
ORIGINAL_ARTICLE
Iterative regularization method for an abstract inverse Goursat problem
In this paper we deal with a problem of identification of an unknown source in the abstract inverse Goursat problem with two-time variables. We show that the considered problem is ill-posed according to the Hadamard sense. That is, the solution does not depend continuously on the data. In order to overcome the instability of the solution, we propose a regularization method via an iterative procedure, with the help of an extra measurement at an internal point. Some convergence results are established under a priori bound assumptions on the exact solution. Finally, numerical tests are presented to illustrate the accuracy and efficiency of the proposed regularization method.
https://www.kjm-math.org/article_131345_efc2a63e428e10c33fdf6d2576031143.pdf
2021-07-01
279
297
10.22034/kjm.2020.237076.1900
ill-posed problems
Goursat problem
Iterative regularization
Mohamed Sief Eddine
Meziani
mmsemath@gmail.com
1
Ecole Normale Supérieure de l'Enseignement Technologique, Azzaba, Skikda, Algeria. Applied Mathematics Laboratory, University Badji Mokhtar Annaba.
AUTHOR
Nadjib
Boussetila
n.boussetila@gmail.com
2
Department of Mathematics, 8 Mai 1945 Guelma University, P.O.Box 401, Guelma 24000, Algeria
LEAD_AUTHOR
Faouzia
Rebbani
f.rebbani@epst-annaba.dz
3
Ecole Supérieure de Technologies Industrielles, Annaba, Algeria. Applied Mathematics Laboratory, University Badji Mokhtar Annaba.
AUTHOR
Abderafik
Benrabah
babderafik@yahoo.fr
4
University 8 Mai 1945 Guelma, Algeria. Applied Mathematics Laboratory, University Badji Mokhtar Annaba.
AUTHOR
ORIGINAL_ARTICLE
Metallic structures on the tangent bundle of P-Sasakian manifolds
In this article, we introduce some metallic structures on the tangent bundle of a P-Sasakian manifold by complete lift, horizontal lift and vertical lift of a P-Sasakian structure $ (\ phi, \ eta,\ xi ) $ on tangent bundle. Then we investigate the integrability and parallelity of these metallic structures.
https://www.kjm-math.org/article_131346_760d97377a981f96bd4684d6050012d0.pdf
2021-07-01
298
309
10.22034/kjm.2021.242375.1950
P-Sasakian manifold
complete lift
metallic structure
integrability
Shahroud
Azami
azami@sci.ikiu.ac.ir
1
Department of pure Mathematics, Imam Khomeini international university, Qazvin, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Almost Kenmotsu manifolds admitting certain vector fields
The object of the present paper is to characterize almost Kenmotsu manifolds admitting holomorphically planar conformal vector (in short, HPCV) fields. It is shown that an almost Kenmotsu manifold $M^{2n+1}$ admitting a non-zero HPCV field $V$ such that $V$ is pointwise collinear with the Reeb vector field $\xi$ is locally a warped product of an almost Kaehler manifold and an open interval. Further, if an almost Kenmotsu manifold with constant $\xi$-sectional curvature admits a non-zero HPCV field $V$, then $M^{2n+1}$ is locally a warped product of an almost Kaehler manifold and an open interval. Moreover, a $(k,\mu)'$-almost Kenmotsu manifold admitting a HPCV field $V$ such that $\phi V \neq 0$ is either locally isometric to $\mathbb{H}^{n+1}(-4)$ $\times$ $\mathbb{R}^n$ or $V$ is an eigenvector of $h'$.
https://www.kjm-math.org/article_131347_bdd8045bc7b7de265443a172ec53739b.pdf
2021-07-01
310
320
10.22034/kjm.2020.235131.1873
Almost Kenmotsu manifold
Holomorphically Planar conformal vector field
Almost Kaehler manifold
Totally umbilical submanifolds
Dibakar
Dey
deydibakar3@gmail.com
1
Department of Pure Mathematics, University of Calcutta, India.
LEAD_AUTHOR
Pradip
Majhi
mpradipmajhi@gmail.com
2
Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, West Bengal, India
AUTHOR