Bulletin of the Iranian Mathematical Society
text
article
2015
eng
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
http://bims.iranjournals.ir/article_602_ab8ee796929d989020f1f0a5378c1aeb.pdf
Iterative algorithm for the generalized $(P,Q)$reflexive solution of a quaternion matrix equation with $j$conjugate of the unknowns
N.
Li
Shandong University of Finance and Economics
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
1
22
http://bims.iranjournals.ir/article_587_d3b1d745724dc512671e8aab4273eea4.pdf
On ideals of ideals in $C(X)$
F.
Azarpanah

author
A. R.
Olfati
Chamran University, Ahvaz,
author
text
article
2015
eng
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 $XsetminusDelta (I)$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
23
41
http://bims.iranjournals.ir/article_588_8b401757cc747587b6c015c12346320e.pdf
The continuity of linear and sublinear correspondences defined on cones
M.
Aghajani
K.N. Toosi University of Technology
author
K.
Nourouzi
K.N. Toosi University of Technology
author
D.
ÓRegan
National University of Ireland
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
43
55
http://bims.iranjournals.ir/article_593_c6ba89a04e2a91caadf240efa0328257.pdf
Some properties of a class of polyhedral semigroups based upon the subword reversing method
M.
Minisker
Mustafa Kemal University Department of Mathematics
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
57
63
http://bims.iranjournals.ir/article_589_e3fbd66b4893953e73be77cbbe9ce05c.pdf
Detection of a nontrivial element in the stable homotopy groups of spheres
H.
Yu
South China Normal University
author
Y.
Kou
South China Normal University
author
H.
Zhao
South China Normal University
author
text
article
2015
eng
Let $p$ be a prime with $p\geq 7$ 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 $n\geq 2$ and $3\leq s\leq p1$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
65
85
http://bims.iranjournals.ir/article_590_85ba0e058a40f200e803319d8a76cec7.pdf
The inﬂuence of Sembedded subgroups on the structure of ﬁnite groups
J
Li
Chongqing University of Arts and Sciences, P R China
author
W.
Shi
Chongqing University of Arts and Sciences
author
D.
Yu
Chongqing University of Arts and Sciences
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
87
100
http://bims.iranjournals.ir/article_603_1e5a0147e3dd5c95ac6a68807f37a3d4.pdf
On the eigenvalues of normal edgetransitive Cayley graphs
M.
Ghorbani
Shahid Rajaee Teacher Training University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
101
107
http://bims.iranjournals.ir/article_592_ae5f0b2ad69282e3e8f70f5873d4a9cd.pdf
Strictly KählerBerwald manifolds with constant holomorphic sectional curvature
X.
Chen
School of Mathematical sciences, Xiamen university
author
R.
Yan
School of Mathemtical sciences, Xiamen university
author
text
article
2015
eng
In this paper, the authors prove that a strictly KählerBerwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
109
120
http://bims.iranjournals.ir/article_591_b9a0e0046a139b2001f811bdf8f8a8a6.pdf
Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces
Y. X.
Liang
Tianjin Normal University
author
Z. H.
Zhou
Department of Mathematics, Tianjin University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
121
139
http://bims.iranjournals.ir/article_600_6d1c998b395dc1565dd2c846c6c74e92.pdf
Optimal asset control of the diffusion model under consideration of the time value of ruin
H.
Dai
Guangxi University
author
C.
Tang
Guangxi University of Finance and Economics
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
141
158
http://bims.iranjournals.ir/article_594_47a7d6a93e62f77f04be6701ab83e08a.pdf
The category of monoid actions in Cpo
M.
Mahmoudi
Professor of Mathematics of Shahid Beheshti University
author
H.
MoghbeliDamaneh
PhD student at the Department of Mathematics of Shahid Beheshti University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
159
175
http://bims.iranjournals.ir/article_595_990da986cde9498bd05410f7b514ebda.pdf
Almost multiplicative linear functionals and approximate spectrum
E.
Anjidani
Department of Mathematics, University of Neyshabur
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
177
187
http://bims.iranjournals.ir/article_596_bec59d33577ac7d73d2c66407e9eec46.pdf
On the oriented perfect path double cover conjecture
B.
Bagheri Gh.
Isfahan University of Technology
author
B.
Omoomi
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
189
200
http://bims.iranjournals.ir/article_597_a931117b555271ee48028056b0d0101b.pdf
The symmetric twostep Pstable nonlinear predictorcorrector methods for the numerical solution of second order initial value problems
A.
Shokri
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
201
215
http://bims.iranjournals.ir/article_601_887ac07814abac5ed77af1832d56e7c7.pdf
On graded classical prime and graded prime submodules
K.
AlZoubi
Jordan University of Science and Technology
author
M.
Jaradat
Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan
author
R.
AbuDawwas
Yarmouk
University, Irbid , Jordan
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
217
225
http://bims.iranjournals.ir/article_598_4dd3ba6468b930d4ee8608ff457e8457.pdf
Bounded approximate connesamenability of dual Banach algebras
A.
Mahmoodi
Islamic Azad University, Central Tehran Branch
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
227
238
http://bims.iranjournals.ir/article_599_13d35cba7517469d79fb3466b2a1511d.pdf
$LG$topology
A.
R. Aliabad
Chamran University, Ahvaz,
author
A.
Sheykhmiri
Shahid Chamran University of Ahvaz
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
239
258
http://bims.iranjournals.ir/article_604_4e088485fa8366a329cfd854b0a5001d.pdf
Weighted composition operators on measurable differential form spaces
M. R.
Jabbarzadeh
faculty of mathematical sciences, university of tabriz
author
F.
Talebi
Tabriz University (Ph. D student)
author
text
article
2015
eng
In this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
259
267
http://bims.iranjournals.ir/article_605_532b70f6a67cbcb1e36afb525cf3e202.pdf
Multiple solutions for a perturbed Navier boundary value problem involving the $p$biharmonic
L.
Ding
Hubei University of Arts and Science
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
269
280
http://bims.iranjournals.ir/article_606_eab15c0fadca6127377284f5fa080088.pdf
On meromorphic solutions of certain type of difference equations
X.
Qi
University of Jinan, School of Mathematics
author
Y.
Liu
Department of Mathematics, University of Jinan
author
L.
Yang
Department of
Mathematics,Shandong University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017060X
41
v.
1
no.
2015
281
289
http://bims.iranjournals.ir/article_607_13646b482767ce8701ff3d6ab7c2b254.pdf