2015
41
1
1
0
Iterative algorithm for the generalized $(P,Q)$reflexive solution of a quaternion matrix equation with $j$conjugate of the unknowns
2
2
In the present paper, we propose an iterative algorithm for solving the generalized $(P,Q)$reflexive solution of the quaternion matrix equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} {underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$. By this iterative algorithm, the solvability of the problem can be determined automatically. When the matrix equation is consistent over a generalized $(P,Q)$reflexive matrix $X$, a generalized $(P,Q)$reflexive solution can be obtained within finite iteration steps in the absence of roundoff errors, and the least Frobenius norm generalized $(P,Q)$reflexive solution can be obtained by choosing an appropriate initial iterative matrix. Furthermore, the optimal approximate generalized $(P,Q)$reflexive solution to a given matrix $X_{0}$ can be derived by finding the least Frobenius norm generalized $(P,Q)$reflexive solution of a new corresponding quaternion matrix equation. Finally, two numerical examples are given to illustrate the efficiency of the proposed methods.
1

1
22


N.
Li
Shandong University of Finance and Economics
Shandong University of Finance and Economics
China (P. R. C.)
lnsdfi@163.com
Quaternion matrix equation
generalized $(P
Q)$reflexive solution
iterative method
optimal approximate solution
On ideals of ideals in $C(X)$
2
2
In this article, we have characterized ideals in $C(X)$ in which every ideal is also an ideal (a $z$ideal) of $C(X)$. Motivated by this characterization, we observe that $C_infty(X)$ is a regular ring if and only if every open locally compact $sigma$compact subset of $X$ is finite. Concerning prime ideals, it is shown that the sum of every two prime (semiprime) ideals of each ideal in $C(X)$ is prime (semiprime) if and only if $X$ is an $F$space. Concerning maximal ideals of an ideal, we generalize the notion of separability to ideals and we have proved the coincidence of separability of an ideal with dense separability of a subspace of $beta X$. Finally, we have shown that the Goldie dimension of an ideal $I$ in $C(X)$ coincide with the cellularity of $XsetminusDelta (I)$.
1

23
41


F.
Azarpanah


Iran
azarpanah@ipm.ir


A. R.
Olfati
Chamran University, Ahvaz,
Chamran University, Ahvaz,
Iran
olfati.alireza@gmail.com
Dense separable
cellularity
$sigma$compact
$F$space
Goldie dimension
The continuity of linear and sublinear correspondences defined on cones
2
2
In this paper, we investigate the continuity of linear and sublinear correspondences defined on cones in normed spaces. We also generalize some known results for sublinear correspondences.
1

43
55


M.
Aghajani
K.N. Toosi University of Technology
K.N. Toosi University of Technology
Iran
aghajani_m@dena.kntu.ac.ir


K.
Nourouzi
K.N. Toosi University of Technology
K.N. Toosi University of Technology
Iran
nourouzi@kntu.ac.ir


D.
ÓRegan
National University of Ireland
National University of Ireland
Ireland
"donal donal.oregan@nuigalway.ie
Linear correspondence
sublinear correspondence
cone
Some properties of a class of polyhedral semigroups based upon the subword reversing method
2
2
In this paper a certain class of polyhedral semigroups which has a presentation $<a, b mid a^{2n}=b^{2n}=(ab)^{n}>$ is examined. The completeness of the presentation and solvability of word problem of this class of semigroups is determined. Moreover the combinatorial distance between two words is determined.
1

57
63


M.
Minisker
Mustafa Kemal University Department of Mathematics
Mustafa Kemal University Department of Mathematics
Turkey
melisminisker@hotmail.com
Polyhedral semigroup
complete
presentation
subword reversing
Detection of a nontrivial element in the stable homotopy groups of spheres
2
2
Let $p$ be a prime with $pgeq 7$ and $q=2(p1)$. In this paper we prove the existence of a nontrivial product of filtration $s+4$ in the stable homotopy groups of spheres. This nontrivial product is shown to be represented up to a nonzero scalar by the product element $widetilde{gamma}_{s}b_{n1}g_{0}in {Ext}_{mathcal{A}}^{s+4,(p^n+sp^2+sp+s)q+s3}(mathbb{Z}/p,mathbb{Z}/p)$ in the Adams spectral sequence where $ngeq 2$ and $3leq sleq p1$.
1

65
85


H.
Yu
South China Normal University
South China Normal University
China (P. R. C.)
yuhb@scnu.edu.cn


Y.
Kou
South China Normal University
South China Normal University
China (P. R. C.)
kouyanlei@tom.com


H.
Zhao
South China Normal University
South China Normal University
China (P. R. C.)
zhaohao120@hotmail.com
Stable homotopy groups of sphere
Adams spectral sequence
May spectral sequence
The inﬂuence of Sembedded subgroups on the structure of ﬁnite groups
2
2
Let H be a subgroup of a group G. H is said to be Sembedded in G if G has a normal T such that HT is an Spermutable subgroup of G and H ∩ T ≤ H sG, where H denotes the subgroup generated by all those subgroups of H which are Spermutable in G. In this paper, we investigate the inﬂuence of minimal Sembedded subgroups on the structure of ﬁnite groups.
We determine the structure the ﬁnite groups with some minimal Sembedded subgroups. We also give some new characterizations of pnilpotency of ﬁnite groups in terms of Sembedding property. As applications, some previous known results are generalized.
1

87
100


J
Li
Chongqing University of Arts and Sciences, P R China
Chongqing University of Arts and Sciences,
China (P. R. C.)
leejinbao25@163.com


W.
Shi
Chongqing University of Arts and Sciences
Chongqing University of Arts and Sciences
China (P. R. C.)
shiwujie@outlook.com


D.
Yu
Chongqing University of Arts and Sciences
Chongqing University of Arts and Sciences
China (P. R. C.)
yudapeng0@sina.com
finite groups
Sembedded subgroups
the generalized Fitting subgroups
soluble groups
pnilpotent groups
On the eigenvalues of normal edgetransitive Cayley graphs
2
2
A graph $Gamma$ is said to be vertextransitive or edge transitive if the automorphism group of $Gamma$ acts transitively on $V(Gamma)$ or $E(Gamma)$, respectively. Let $Gamma=Cay(G,S)$ be a Cayley graph on $G$ relative to $S$. Then, $Gamma$ is said to be normal edgetransitive, if $N_{Aut(Gamma)}(G)$ acts transitively on edges. In this paper, the eigenvalues of normal edgetransitive Cayley graphs of the groups $D_{2n}$ and $T_{4n}$ are given.
1

101
107


M.
Ghorbani
Shahid Rajaee Teacher Training University
Shahid Rajaee Teacher Training University
Iran
ghorbani30@gmail.com
Eigenvalues
Cayley graphs
normal graph
Strictly KählerBerwald manifolds with constant holomorphic sectional curvature
2
2
In this paper, the authors prove that a strictly KählerBerwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
1

109
120


X.
Chen
School of Mathematical sciences, Xiamen university
School of Mathematical sciences, Xiamen university
China (P. R. C.)
xxchen@xmu.edu.cn


R.
Yan
School of Mathemtical sciences, Xiamen university
School of Mathemtical sciences, Xiamen university
China (P. R. C.)
yanrm@xmu.edu.cn
complex Finsler manifold
holomorphic sectional curvature
KaehlerBerwald manifold
Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces
2
2
We give some sufficient conditions under which the tuple of the adjoint of weighted composition operators $(C_{omega_1,varphi_1}^* , C_{omega_2,varphi_2}^*)$ on the Hilbert space $mathcal{H}$ of analytic functions is supercyclic.
1

121
139


Y. X.
Liang
Tianjin Normal University
Tianjin Normal University
China (P. R. C.)
liangyx1986@126.com


Z. H.
Zhou
Department of Mathematics, Tianjin University
Department of Mathematics, Tianjin University
China (P. R. C.)
zehuazhoumath@aliyun.com
Supercyclic
adjoint
weighted composition operators
Hilbert space
Optimal asset control of the diffusion model under consideration of the time value of ruin
2
2
In this paper, we consider the optimal asset control of a financial company which can control its liquid reserves by paying dividends and by issuing new equity. We assume that the liquid surplus of the company in the absence of control is modeled by the diffusion model. It is a hot topic to maximize the expected present value of dividends payout minus equity issuance until the time of bankruptcy. We study this problem under consideration of the time value of ruin. By constructing two categories of suboptimal models, one with classical model without equity issuance, and the other which never goes bankrupt by equity issuance, the optimal problem is addressed. At the end, some numerical examples and interesting economic interpretations are presented.
1

141
158


H.
Dai
Guangxi University
Guangxi University
China (P. R. C.)
mathdsh@gmail.com


C.
Tang
Guangxi University of Finance and Economics
Guangxi University of Finance and Economics
China, R. O. C.
tangcangxin@gmail.com
Optimal dividend control
optimal financing control
time value of ruin
The category of monoid actions in Cpo
2
2
In this paper, some categorical properties of the category ${bf Cpo}_{{bf Act}text{}S}$ of all {cpo $S$acts}, cpo's equipped with actions of a monoid $S$ on them, and strict continuous actionpreserving maps between them is considered. In particular, we describe products and coproducts in this category, and consider monomorphisms and epimorphisms. Also, we show that the forgetful functor from ${bf Cpo}_{{bf Act}text{}S}$ to the category of cpo's has both a left and a right adjoint.
1

159
175


M.
Mahmoudi
Professor of Mathematics of Shahid Beheshti University
Professor of Mathematics of Shahid Beheshti
Iran
mmahmoudi@sbu.ac.ir


H.
MoghbeliDamaneh
PhD student at the Department of Mathematics of Shahid Beheshti University
PhD student at the Department of Mathematics
Iran
h_moghbeli@sbu.ac.ir
Directed complete partially ordered set
product
coproduct
cartesian closed
Almost multiplicative linear functionals and approximate spectrum
2
2
We define a new type of spectrum, called δapproximate spectrum, of an element a in a complex unital Banach algebra A and show that the δapproximate spectrum σ_δ (a) of a is compact. The relation between the δapproximate spectrum and the usual spectrum is investigated. Also an analogue of the classical GleasonKahaneZelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is a linear functional with ϕ(a)∈σ_δ (a) for all a∈A, then ϕ is εalmost multiplicative. Finally, we use these ideas to provide a sufficient condition for a δalmost multiplicative functional to be multiplicative.
1

177
187


E.
Anjidani
Department of Mathematics, University of Neyshabur
Department of Mathematics, University of
Iran
anjidani@neyshabur.ac.ir
almost multiplicative linear functional
Ransford spectrum
pseudospectrum
condition spectrum
GleasonKahaneZelazko theorem
On the oriented perfect path double cover conjecture
2
2
An oriented perfect path double cover (OPPDC) of a graph $G$ is a collection of directed paths in the symmetric orientation $G_s$ of $G$ such that each arc of $G_s$ lies in exactly one of the paths and each vertex of $G$ appears just once as a beginning and just once as an end of a path. Maxov{'a} and Ne{v{s}}et{v{r}}il (Discrete Math. 276 (2004) 287294) conjectured that every graph except two complete graphs $K_3$ and $K_5$ has an OPPDC and they claimed that the minimum degree of the minimal counterexample to this conjecture is at least four. In the proof of their claim, when a graph is smaller than the minimal counterexample, they missed to consider the special cases $K_3$ and $K_5$. In this paper, among some other results, we present the complete proof for this fact. Moreover, we prove that the minimal counterexample to this conjecture is $2$connected and $3$edgeconnected.
1

189
200


B.
Bagheri Gh.
Isfahan University of Technology
Isfahan University of Technology
Iran
b.bagheri@math.iut.ac.ir


B.
Omoomi
Iran
bomoomi@yahoo.com
Keywords: Oriented perfect
path double cover
Oriented cycle double cover
The symmetric twostep Pstable nonlinear predictorcorrector methods for the numerical solution of second order initial value problems
2
2
In this paper, we propose a modification of the second order method introduced in [Q. Li and X. Y. Wu, A twostep explicit $P$stable method for solving second order initial value problems, textit{Appl. Math. Comput.} {138} (2003), no. 23, 435442] for the numerical solution of IVPs for second order ODEs. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.
1

201
215


A.
Shokri
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
Faculty of Mathematical Science, University
Iran
shokri@maragheh.ac.ir
Hybrid methods
Pstable
offstep points
predictorcorrector
On graded classical prime and graded prime submodules
2
2
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 introduce several results concerning graded classical prime submodules. For example, we give a characterization of graded classical prime submodules. Also, the relations between graded classical prime and graded prime submodules of $M$ are studied.
1

217
225


K.
AlZoubi
Jordan University of Science and Technology
Jordan University of Science and Technology
Jordan
kfzoubi@just.edu.jo


M.
Jaradat
Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan
Jordan University of Science and Technology,
Jordan
majaradat12@sci.just.edu.jo


R.
AbuDawwas
Yarmouk
University, Irbid , Jordan
Yarmouk
University, Irbid , Jordan
Jordan
rrashid@yu.edu.jo
Graded submodules
graded prime submodule
graded classical prime submodule
Bounded approximate connesamenability of dual Banach algebras
2
2
We study the notion of bounded approximate Connesamenability for dual Banach algebras and characterize this type of algebras in terms of approximate diagonals. We show that bounded approximate Connesamenability of dual Banach algebras forces them to be unital. For a separable dual Banach algebra, we prove that bounded approximate Connesamenability implies sequential approximate Connesamenability.
1

227
238


A.
Mahmoodi
Islamic Azad University, Central Tehran Branch
Islamic Azad University, Central Tehran Branch
Iran
a_mahmoodi@iauctb.ac.ir
Bounded approximate Connesamenability
sequential approximate Connesamenability
multiplierbounded approximate identity
$LG$topology
2
2
In this paper, we introduce a new model of point free topology for pointset topology. We study the basic concepts in this structure and will find that it is naturally close to pointset topology.
1

239
258


A.
R. Aliabad
Chamran University, Ahvaz,
Chamran University, Ahvaz,
Iran
aliabady_r@scu.ac.ir


A.
Sheykhmiri
Shahid Chamran University of Ahvaz
Shahid Chamran University of Ahvaz
Iran
sheykhmiri.alireza@gmail.com
frame
$LGT$space
open element
compact element
separation axioms
Weighted composition operators on measurable differential form spaces
2
2
In this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.
1

259
267


M. R.
Jabbarzadeh
faculty of mathematical sciences, university of tabriz
faculty of mathematical sciences, university
Iran
mrjabbar11@yahoo.com


F.
Talebi
Tabriz University (Ph. D student)
Tabriz University (Ph. D student)
Iran
talebi@tabrizu.ac.ir
Riemann surfaces
differential forms
(weighted) composition operators
adjoint operator
Multiple solutions for a perturbed Navier boundary value problem involving the $p$biharmonic
2
2
The aim of this article is to establish the existence of at least three solutions for a perturbed $p$biharmonic equation depending on two real parameters. The approach is based on variational methods.
1

269
280


L.
Ding
Hubei University of Arts and Science
Hubei University of Arts and Science
China (P. R. C.)
kyant@sina.com
three solutions
Three critical points theorem
$p$biharmonic equations
Critical point theory
On meromorphic solutions of certain type of difference equations
2
2
We mainly discuss the existence of meromorphic (entire) solutions of certain type of nonlinear difference equation of the form: $f(z)^m+P(z)f(z+c)^n=Q(z)$, which is a supplement of previous results in [K. Liu, L. Z. Yang and X. L. Liu, Existence of entire solutions of nonlinear difference equations, Czechoslovak Math. J. 61 (2011), no. 2, 565576, and X. G. Qi, Value distribution and uniqueness of difference polynomials and entire solutions of difference equations, Ann. Polon. Math.
1

281
289


X.
Qi
University of Jinan, School of Mathematics
University of Jinan, School of Mathematics
China, R. O. C.
xiaogqi@mail.sdu.edu.cn


Y.
Liu
Department of Mathematics, University of Jinan
Department of Mathematics, University of
China (P. R. C.)
xiaoqi@gmail.com


L.
Yang
Department of
Mathematics,Shandong University
Department of
Mathematics,Shandong University
China (P. R. C.)
44922143@qq.com
Difference equation
Meromorphic functions
order