2013
39
3
3
206
HyersUlamRassias stability of a composite
functional equation in various normed spaces
2
2
In this paper, we prove the generalized HyersUlam(or HyersUlamRassias ) stability of the following composite functional equation f(f(x)f(y))=f(x+y)+f(xy)f(x)f(y) in various normed spaces.
3

383
403


H.
Azadi Kenary
Yasouj University
Yasouj University
Iran
azadi@mail.yu.ac.ir
Generalized HyersUlam stability
random normed space
nonArchimedean normed spaces
fixed point method
A note on superspecial and maximal curves
2
2
In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.Using this we generalize and give some simple proofs for some wellknown superspecial curves.
3

405
413


A.
Kazemifard
Shahrekord University
Shahrekord University
Iran
kazemifard.ahmad@stu.sku.ac.ir


A.
Naghipour
Shahrekord University
Shahrekord University
Iran
naghipour@stu.ac.ir


S.
Tafazolian
Institute for Advanced Studies in Basic Sciences
Institute for Advanced Studies in Basic Sciences
Iran
tafazolian@gmail.com
Cartier operator
Supersingular curves
finite fields
maximal curves
Contact CRWarped product submanifolds in Kenmotsu space forms
2
2
Abstract: In the present paper, we give a necessary and sufficient condition for contact CRwarped product to be contact CRproduct in Kenmotsu space forms.
3

415
429


M.
Atceken
Gaziosmanpasa University, Faculty of Arts and Sciences, Department of Mathematics, 60250 Tokat/TURKEY
Gaziosmanpasa University, Faculty of Arts
Turkey
mehmet.atceken@gop.edu.tr
Kenmotsu space form
Contact CRwarped product
Contact CRproduct
On the convergence of threestep random iterative procesess with errors
of nonself asymptotically nonexpansive random
mappings
2
2
begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}
3

431
453


R.
Rashwan
Department of Mathematics, University of Assiut, P.O.Box 71516, Assiut, Egypt
Department of Mathematics, University of
Egypt
rr_rashwan54@yahoo.com


D.
AlBaqeri
Department of
Mathematics, University
of Assiut, P.O.Box 71516, Assiut, Egypt
Department of
Mathematics, University
of
Yemen
baqeri$_$27@yahoo.com
Asymptotically nonexpansive nonself random mapping
Weak and strong convergence
Common random fixed points
Completely continuous
Opial's condition
Localization operators on homogeneous spaces
2
2
Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localization operator is in Schatten $p$class and also it is a compact operator for $ 1leq p leqinfty$.
3

455
467


R.
Kamyabi Gol
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
kamyabi@ferdowsi.um.ac.ir


F.
Esmaeelzadeh
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
esmaeelzadeh@alumni.um.ac.ir


R.
Raisi Tousi
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
raisi@ferdowsi.um.ac.ir
Homogenous space
square integrable representation
n localization operator
Schatten $p$class operator
On pairwise weakly Lindelof bitopological spaces
2
2
In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.
3

469
485


A.
Kilicman
University Putra Malaysia
University Putra Malaysia
Malaysia
akilic@upm.edu.my


Z.
Salleh
University Malaysia Terengganu
University Malaysia Terengganu
Malaysia
zabidin@umt.edu.my
bitopological space
ijweakly Lindelof
pairwise weakly Lindelof
ijweakly Lindelof relative
ijregular open and ijregular closed
On nilpotent and solvable polygroups
2
2
Applications of hypergroups have mainly appeared in special subclasses. One of the important subclasses is the class of polygroups. In this paper, we study the notions of nilpotent and solvable polygroups by using the notion of heart of polygroups. In particular, we give a necessary and sufficient condition between nilpotent (solvable) polygroups and fundamental groups.
3

487
499


H.
Aghabozorgi
Department of Mathematics, Yazd University, Yazd, Iran
Department of Mathematics, Yazd University,
Iran
h_aghabozorgi1@yahoo.com


M.
Jafarpour
Department of Mathematics, ValieAsr University, Rafsanjan, Iran
Department of Mathematics, ValieAsr University,
Iran
m.j@mail.vru.ac.ir


B.
Davvaz
Yazd University
Yazd University
Iran
davvaz@yazduni.ac.ir
(semi)hypergroup
polygroup
derived polygroup
nilpotent
Maximum sum element orders of all proper subgroups of
PGL(2, q)
2
2
In this paper we show that if q is a power of a prime p , then the projective special linear group PSL(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group PGL(2, q) for q odd and even respectively
3

501
505


S.
Jafarian Amri
Zanjan University
Zanjan University
Iran
sm_jafarian@znu.ac.ir
linear groups
maximal subgroups
element order
phiAmenable and phibiflat Banach algebras
2
2
In this paper we study the concept of phbiatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph biat, then A is phamenable. In the case where ph is an isomorphism on A we showthat the ph amenability of A implies its phbiatness.
3

507
515


Z.
Ghorbani
Depertment of MathematicsUniversity of Isfahan
Depertment of MathematicsUniversity of Isfahan
Iran
ghorbani@sci.ui.ac.ir


M.
Lashkarizadeh Bami
Department of Mathematics, University of Isfahan
Department of Mathematics, University of
Iran
lashkari@sci.ui.ac.ir
Banach algebra
phbiat
phamenable
On solubility of groups with finitely many centralizers
2
2
For any group G, let C(G) denote the set of centralizers of G.We say that a group G has n centralizers (G is a Cngroup) if C(G) = n.In this note, we prove that every ﬁnite Cngroup with n ≤ 21 is soluble andthis estimate is sharp. Moreover, we prove that every ﬁnite Cngroup withG < 30n+1519 is nonnilpotent soluble. This result gives a partial answer to aconjecture raised by A. Ashraﬁ in 2000
3

517
521


M.
Zarrin
University of Kurdistan
University of Kurdistan
Iran
zarrin78@gmail.com
centralizer
ncentralizer group
soluble group
Completely coretractable rings
2
2
A module $M$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $M$ into $M$. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a finite product of local right and left perfect rings.
3

523
528


J.
Zemlicka
Department of Algebra
Faculty of Mathematics and Physics, Charles University in Prague,
Department of Algebra
Faculty of Mathematics
Czech Republic
zemlicka@karlin.mff.cuni.cz
coretractable module
retractable module
Kash ring
Asymptotic properties of the sample mean in adaptive sequential sampling with multiple selection criteria
2
2
We extend the method of adaptive twostage sequential sampling toinclude designs where there is more than one criteria is used indeciding on the allocation of additional sampling effort. Thesecriteria, or conditions, can be a measure of the targetpopulation, or a measure of some related population. We developMurthy estimator for the design that is unbiased estimators forthe population mean, and propose another, more efficient,estimator. We investigate asymptotic properties of this estimator.We use a simulation study to investigate design properties of themulticriteria adaptive sequential sampling scheme and also someestimator properties under the design.
3

529
557


A.
Parvardeh
Academic Professor
Academic Professor
Iran
a.parvardeh@sci.ui.ac.ir


B.
Panahbehagh
Isfahan University of Technology
Isfahan University of Technology
Iran
bardia_p@math.iut.ac.ir


M.
Salehi
Qatar University
Qatar University
Qatar
salehi@qu.edu.qa


J.
Brown
University of Canterbury
University of Canterbury
New Zealand
j.brown@math.canterbury.ac.nz


D.
Smith
U.S. Geological Survey
U.S. Geological Survey
United States of America
drsmith@usgs.gov
Stratified sampling
Adaptive twostage sequential sampling
Asymptotic properties in finite population
Consistency
Rare population
Biflatness and biprojectivity of Lau product of Banach algebras
2
2
Amonge other things we give sufficient and necessary conditions for the Lau product of Banachalgebras to be biflat or biprojective.
3

559
568


A.
Khoddami
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
khoddamialireza@yahoo.com


H.
Ebrahimi Vishki
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
vishki@ferdowsi.um.ac.ir
bimodule map
$theta$Lau product
Tensor product
biflat
biprojective
Some results on the polynomial numerical hulls of matrices
2
2
In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.
3

569
578


H.
Afshin
Department of Mathematics, ValieAsr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, ValieAsr University
Iran
hamidrezaafshin@yahoo.com


M.
Mehrjoofard
Department of Mathematics, ValieAsr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, ValieAsr University
Iran
aahaay@gmail.com


A.
Salemi
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
Department of Mathematics, Shahid Bahonar
Iran
salemi@uk.ac.ir
polynomial numerical hull
joint numerical range
normal matrices
Rings in which elements are the sum of an
idempotent and a regular element
2
2
Let R be an associative ring with unity. An element a in R is said to be rclean if a = e+r, where e is an idempotent and r is a regular (von Neumann) element in R. If every element of R is rclean, then R is called an rclean ring. In this paper, we prove that the concepts of clean ring and rclean ring are equivalent for abelian rings. Further we prove that if 0 and 1 are the only idempotents in R, then an rclean ring is an exchange ring. Also we show that the center of an rclean ring is not necessary rclean, but if 0 and 1 are the only idempotents in R, then the center of an rclean ring is rclean. Finally we give some properties and examples of rclean rings
3

579
588


N.
Ashrafi
Semnan University
Semnan University
Iran
ashrafi49@yahoo.com


E.
Nasibi
Semnan University
Semnan University
Iran
ebrahimnasibi@yahoo.com
clean ring
exchange ring
rclean ring
von Neumann regular ring