The (p,q,r)-generations of the alternating group A_11
Ayoub
Basheer
University of Limpopo
author
Malebogo
Motalane
University of Limpopo.
author
Thekiso
Seretlo
School of Mathematical and Computer
Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga
0727, South Africa
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
165
186
https://www.kjm-math.org/article_123059_118cddb09270ac12afbf0585c55b700a.pdf
dx.doi.org/10.22034/kjm.2020.205718.1600
The correspondence of Fusion frames and frames In Hilbert $C^*$-modules and finite Gabor Fusion frames
Rajab Ali
Kamyabi-Gol
Ferdowsi University of Mashhad
author
Mozhgan
Mohammadpour
Department of Pure Mathematics, Faculty of Mathematical sciences, Ferdowsi University of Mashhad, Iran
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
187
200
https://www.kjm-math.org/article_123060_549a8420805639b552b28a7afb2b87be.pdf
dx.doi.org/10.22034/kjm.2020.169670.1308
Some properties of geodesic $(\alpha,E)$-preinvex functions on Riemannian manifolds
Absos
Shaikh
University of Burdwan
author
Chandan
Mondal
University of Burdwan
author
Ravi
Agarwal
Department of Mathematics, Texas A&amp;M University, Texas
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
201
210
https://www.kjm-math.org/article_123061_bcd8001b7bb15ca48ab4e91b0bb14fd8.pdf
dx.doi.org/10.22034/kjm.2020.220226.1717
Multi-dimensional wavelets on Sobolev spaces
Fatemeh
Esmaeelzadeh
Islamic Azad University, Bojnourd Branch
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
211
218
https://www.kjm-math.org/article_130075_9a177af8e6f9787ecd973580817508db.pdf
dx.doi.org/10.22034/kjm.2021.202782.1576
Primeness of simple modules over path algebras and Leavitt path algebras
Risnawita
Risnawita
Institut Teknologi Bandung
author
Irawati
Irawati
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,
Jalan Ganesa 10 Bandung 40132, Indonesia.
author
Intan
Alamsyah
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,
Jalan Ganesa 10 Bandung 40132, Indonesia.
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
219
231
https://www.kjm-math.org/article_130076_103bbc02d81ad766f14dd138a47f29a8.pdf
dx.doi.org/10.22034/kjm.2021.203331.1578
Modulation invariant spaces on locally compact abelian groups
Mahdi
Mortazavizadeh
Ferdowsi university of Mashhad
author
Reihaneh
Raisi Tousi
Ferdowsi University of Mashhad
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
232
240
https://www.kjm-math.org/article_130362_5c9fdf9f889b12fc3a991c2cf05a3f85.pdf
dx.doi.org/10.22034/kjm.2020.230232.1827
Permanence and stability of multi-species nonautonomous Lotka--Volterra competitive systems with delays and feedback controls on time scales
Mahammad
Khuddush
Department of Applied Mathematics,
Andhra University,
Visakhapatnam,india-530003
author
Kapula
Rajendra Prasad
Department of Applied Mathematics,
Andhra University.
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
241
256
https://www.kjm-math.org/article_130788_8326a9d9ee8d7740b350002a6be69d1d.pdf
dx.doi.org/10.22034/kjm.2021.220759.1725
On the discrete group analysis for the exact solutions of some classes of the nonlinear Abel and Burgers equations
Parviz
Darania
Department of Mathematics, Urmia university&lrm; P.O.Box 165&lrm; &lrm;Urmia-Iran
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
257
265
https://www.kjm-math.org/article_130841_f5850a8d48e351b2b4da5292cbdc65f7.pdf
dx.doi.org/10.22034/kjm.2021.224570.1751
Isbell convexity in fuzzy quasi-metric spaces
Hope
Sabao
University of the Witwatersrand
author
Olivier
Otafudu
North-West University, Potchefstroom Campus
Potchefstroom 2520
SOUTH AFRICA
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
266
278
https://www.kjm-math.org/article_130888_6f5365296ff0339d167552c78991de5b.pdf
dx.doi.org/10.22034/kjm.2021.227905.1801
Iterative regularization method for an abstract inverse Goursat problem
Mohamed Sief Eddine
Meziani
Ecole Normale Supérieure de l'Enseignement Technologique, Azzaba, Skikda, Algeria.
Applied Mathematics Laboratory, University Badji Mokhtar Annaba.
author
Nadjib
Boussetila
Department of Mathematics, 8 Mai 1945 Guelma University, P.O.Box 401, Guelma 24000, Algeria
author
Faouzia
Rebbani
Ecole Supérieure de Technologies Industrielles, Annaba, Algeria.
Applied Mathematics Laboratory, University Badji Mokhtar Annaba.
author
Abderafik
Benrabah
University 8 Mai 1945 Guelma, Algeria.
Applied Mathematics Laboratory, University Badji Mokhtar Annaba.
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
279
297
https://www.kjm-math.org/article_131345_efc2a63e428e10c33fdf6d2576031143.pdf
dx.doi.org/10.22034/kjm.2020.237076.1900
Metallic structures on the tangent bundle of P-Sasakian manifolds
Shahroud
Azami
Department of pure Mathematics, Imam Khomeini international university,
Qazvin, Iran
author
text
article
2021
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
298
309
https://www.kjm-math.org/article_131346_760d97377a981f96bd4684d6050012d0.pdf
dx.doi.org/10.22034/kjm.2021.242375.1950
Almost Kenmotsu manifolds admitting certain vector fields
Dibakar
Dey
Department of Pure Mathematics, University of Calcutta, India.
author
Pradip
Majhi
Department of Pure Mathematics, University of Calcutta,
35, Ballygaunge Circular Road,
Kolkata 700019,
West Bengal, India
author
text
article
2021
eng
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 $h'$.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
2423-4788
7
v.
2
no.
2021
310
320
https://www.kjm-math.org/article_131347_bdd8045bc7b7de265443a172ec53739b.pdf
dx.doi.org/10.22034/kjm.2020.235131.1873