2013
39
5
5
264
Generalized numerical ranges of matrix polynomials
2
2
In this paper, we introduce the notions of Cnumerical range and Cspectrum of matrix polynomials. Some algebraic and geometrical properties are investigated. We also study the relationship between the Cnumerical range of a matrix polynomial and the joint Cnumerical range of its coefficients.
3

789
803


G.
Aghamollaei
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman,
Iran
aghamollaei@uk.ac.ir


N.
Avizeh
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman,
Iran
avizeh_narjes@yahoo.com


Y.
Jahanshahi
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman,
Iran
yaser_j1986@yahoo.com
matrix polynomial
Cnumerical range
Joint Cnumerical range
Cspectrum
A new proof for the BanachZarecki theorem: A light
on integrability and continuity
2
2
To demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the BanachZareckitheorem is presented on the basis of the RadonNikodym theoremwhich emphasizes on measuretype properties of the Lebesgueintegral. The BanachZarecki theorem says that a realvaluedfunction $F$ is absolutely continuous on a finite closed intervalif and only if it is continuous and of bounded variation when itsatisfies Lusin's condition. In the present proof indeed a moregeneral result is obtained for the Jordan decomposition of $F$.
3

805
819


A.
Mahdipour Shirayeh
Postdoctoral Researcher, Brock University, Canada
Postdoctoral Researcher, Brock University,
Canada
ali.mahdipour@gmail.com


H.
Eshraghi
Assistant Professor, Iran University of Science and Technology
Assistant Professor, Iran University of Science
Iran
eshraghi@iust.ac.ir
BanachZarecki theorem
RadonNikodym theorem
Lusin's condition
On a class of systems of n Neumann twopoint boundary value SturmLiouville type equations
2
2
Employing a three critical points theorem, we prove the existence ofmultiple solutions for a class of Neumann twopoint boundary valueSturmLiouville type equations. Using a local minimum theorem fordifferentiable functionals the existence of at least one nontrivialsolution is also ensured.
3

821
840


S.
Heidarkhani
Razi university of Kermanshah
Razi university of Kermanshah
Iran
s.heidarkhani@razi.ac.ir
SturmLiouville type System
Multiplicity results
Critical point theory
Some combinatorial aspects of finite Hamiltonian groups
2
2
In this paper we provide explicit formulas for the number of elements/subgroups/cyclic subgroups of a given order and for the total number of subgroups/cyclic subgroups in a finite Hamiltonian group. The coverings with three proper subgroups and the principal series of such a group are also counted. Finally, we give a complete description of the lattice of characteristic subgroups of a finite Hamiltonian group.
3

841
854


M.
Tarnauceanu
Faculty of Mathematics, "Al. I. Cuza" University
Faculty of Mathematics, "Al. I. Cuza"
Romania
tarnauc@uaic.ro
Hamiltonian groups
Abelian groups
automorphisms
subgroups
subgroup coverings
Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations
2
2
In this paper, two inverse problems of Stephen kind with local (Dirichlet) boundary conditions are investigated. In the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. For the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and boundary conditions of main problem, analytic solution of unknown function of main inverse problem is calculated.
3

855
864


M.
Jahanshahi
Azarbaijan university of Tarbiat Moallem
Azarbaijan university of Tarbiat Moallem
Iran
jahanshahi@azaruniv.edu


M.
Sajjadmanesh
Azarbaijan university of Tarbiat Moallem
Azarbaijan university of Tarbiat Moallem
Iran
s.sajjadmanesh@azaruniv.edu
Local boundary conditions
Inverse problem
Fundamental solution
Dirac's delta function
Linear preservers of grow and gcolumn majorization on
M_{n,m}
2
2
Let A and B be n × m matrices. The matrix B is said to be grow majorized (respectively gcolumn majorized) by A, if every row (respectively column) of B, is gmajorized by the corresponding row (respectively column) of A. In this paper all kinds of gmajorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m > Mn,m preserving (or strongly preserving) grow or gcolumn majorization will be characterized.
3

865
880


A.
Armandnejad
ValieAsr University of Rafsanjan
ValieAsr University of Rafsanjan
Iran
armandnejad@gmail.com


Z.
Mohammadi
ValieAsr University of Rafsanjan
ValieAsr University of Rafsanjan
Iran
z.mohammadi@stu.vru.ac.ir


F.
Akbarzadeh
ValieAsr University of Rafsanjan
ValieAsr University of Rafsanjan
Iran
f.akbarzadeh@stu.vru.ac.ir
Linear preserver
grow stochastic matrices
rgwmajorization
lgwmajorization
Tutte polynomials of wheels via generating functions
2
2
We find an explicit expression of the Tutte polynomial of an $n$fan. We also find a formula of the Tutte polynomial of an $n$wheel in terms of the Tutte polynomial of $n$fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$wheel and then prove the explicit formula for the Tutte polynomial of an $n$wheel.
3

881
891


C.
Brennan
University of the Witwatersrand
University of the Witwatersrand
South Africa
charlotte.brennan@wits.ac.za


T.
Mansour
University of Haifa
University of Haifa
Not listed here
toufik@math.haifa.ac.il


E.
MphakoBanda
University of Witwatersrand
University of Witwatersrand
South Africa
eunice.mphakobanda@wits.ac.za
Tutte polynomial
wheel
fan
generating function
A degree bound for the Graver basis of nonsaturated lattices
2
2
Let $L$ be a lattice in $ZZ^n$ of dimension $m$. We prove that there exist integer constants $D$ and $M$ which are basisindependent such that the total degree of any Graver element of $L$ is not greater than $m(nm+1)MD$. The case $M=1$ occurs precisely when $L$ is saturated, and in this case the bound is a reformulation of a wellknown bound given by several authors. As a corollary, we show that the CastelnuovoMumford regularity of the corresponding lattice ideal $I_L$ is not greater than $rac{1}{2}m(n1)(nm+1)MD$.
3

893
901


H.
Sabzrou
Assistant Professor of University of Tehran
Assistant Professor of University of Tehran
Iran
hossein@ipm.ir
Nonsaturated lattices
Graver bases
lattice ideals
Applications of EpiRetractable and CoEpiRetractable Modules
2
2
A module M is called epiretractable if every submodule of M is a homomorphic image of M. Dually, a module M is called coepiretractable if it contains a copy of each of its factor modules. In special case, a ring R is called copli (resp. copri) if RR (resp. RR) is coepiretractable. It is proved that if R is a left principal right duo ring, then every left ideal of R is an epiretractable Rmodule. A copli strongly prime ring R is a simple ring. A left selfinjective copli ring R is left Noetherian if and only if R is a left perfect ring. It is shown that a cogenerator ring R is a pli ring if and only if it is a copri ring. Moreover, if R is a left perfect ring such that every projective Rmodule is coepiretractable, then R is a quasiFrobenius ring.
3

903
917


H.
Mostafanasab
Isfahan university of Technology
Isfahan university of Technology
Iran
h.mostafanasab@gmail.com
MSC(2010): Primary: 16D10, 16S50
Secondary: 16D40, 16E60
On Generalization of prime submodules
2
2
Let R be a commutative ring with identity and M be a unitary Rmodule. Let : S(M) −! S(M) [ {;} be a function, where S(M) is the set of submodules ofM. Suppose n 2 is a positive integer. A proper submodule P of M is called(n − 1, n) − prime, if whenever a1, . . . , an−1 2 R and x 2 M and a1 . . . an−1x 2P(P), then there exists i 2 {1, . . . , n − 1} such that a1 . . . ai−1ai+1 . . . an−1x 2 Por a1 . . . an−1 2 (P : M). In this paper we study (n − 1, n) − prime submodules(n 2). A number of results concerning (n−1, n)−prime submodules are given.Modules with the property that for some , every proper submodule is (n−1, n)−prime, are characterized and we show that under some assumptions (n−1, n)primesubmodules and (n − 1, n) − mprime submodules coincide (n,m 2).
3

919
939


M.
Ebrahimpour
Shahid Bahonar University Of Kerman
Shahid Bahonar University Of Kerman
Iran
mahdieh_ebrahimpour@yahoo.com


R.
Nekooei
Shahid Bahonar University of Kerman
Shahid Bahonar University of Kerman
Iran
rnekooei@mail.uk.ac.ir
(n − 1, n) − prime submodule
Local ring
multiplication module
POSgroups with some cyclic Sylow
subgroups
2
2
A finite group G is said to be a POSgroup if for each x in G the cardinality of the set {y in G  o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POSgroups with some cyclic Sylow subgroups.
3

941
957


R.
Shen
Department of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province, 445000, P. R. China
Department of Mathematics, Hubei University
China, R. O. C.
shenrulin@hotmail.com


W. J.
Shi
China (P. R. C.)
wjshi@suda.edu.cn


J.
Shi
LMAM & School of Mathematical Sciences, Peking University,
Beijing, 100871, P. R. China
LMAM & School of Mathematical Sciences, Peking
China, R. O. C.
shi@suda.edu.cn
perfect order subset
POSgroup
Frobenius group
Biflatness of certain semigroup algebras
2
2
In the present paper, we consider biflatness of certain classes of semigroupalgebras. Indeed, we give a necessary condition for a band semigroup algebra to bebiflat and show that this condition is not sufficient. Also, for a certain class of inversesemigroups S, we show that the biflatness of ell^{1}(S)^{primeprime} is equivalent to the biprojectivity of ell^{1}(S).
3

959
969


M.
Essmaili
Kharazmi university (Tarbiat Moallem )
Kharazmi university (Tarbiat Moallem )
Iran
m.essmaili@tmu.ac.ir


A.
Medghalchi
Kharazmi University (Tarbiat Moallem)
Kharazmi University (Tarbiat Moallem)
Iran
medghal2000@yahoo.com
Biflatness
biprojectivity
semigroup algebras
inverse semigroup
Gpositive and Grepositive solutions to some adjointable operator equations over Hilbert C^{∗}modules
2
2
Some necessary and sufficient conditions are given for the existence of a Gpositive (Grepositive) solution to adjointable operator equations $AX=C,AXA^{left( astright) }=C$ and $AXB=C$ over Hilbert $C^{ast}$modules, respectively. Moreover, the expressions of these general Gpositive (Grepositive) solutions are also derived. Some of the findings of this paper extend some known results in the literature.
3

971
992


G.
Song
University of Weifang, P. R. China
University of Weifang, P. R. China
China, R. O. C.
sgjshu@yahoo.com.cn
Hilbert C^{∗}module
generalized inverse
Operator equation
Geodesic metric spaces and generalized nonexpansive multivalued mappings
2
2
In this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in CAT(0) spaces as well as in UCED Banach spaces. Moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex subset is nonempty and singleton. The results obtained in this paper extend and improve some recent results.
3

993
1008


A.
Abkar
Imam Khomeini International University
Imam Khomeini International University
Iran
aliabkar99@gmail.com


M.
Eslamian
Imam Khomeini International University
Imam Khomeini International University
Iran
mhmdeslamian@gmail.com
fixed point
generalized nonexpansive mapping
CAT(0) space
geodesic metric space
asymptotic center
Ricci tensor for $GCR$lightlike submanifolds of indefinite Kaehler manifolds
2
2
We obtain the expression of Ricci tensor for a $GCR$lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $GCR$lightlike submanifold of anindefinite complex space form. Moreover, we have proved that everyproper totally umbilical $GCR$lightlike submanifold of anindefinite Kaehler manifold is a totally geodesic $GCR$lightlikesubmanifold.
3

1009
1029


R.
Nagaich
Department of Mathematics, Punjabi University,
Patiala 147 002. India
Department of Mathematics, Punjabi University,
India
nagaichrakesh@yahoo.co.in


R.
Kumar
University College of Engineering
Punjabi University, Patiala, India
University College of Engineering
Punjabi
India
dr_rk37c@yahoo.co.in


S.
Kumar
Department of Applied Sciences, Chitkara University, India
Department of Applied Sciences, Chitkara
India
sp7maths@gmail.com
indefinite Kaehler Manifolds
GCRlightlike submanifold
totally umbilical lightlike submanifold
Limit distribution of the degrees in scaled attachment random recursive trees
2
2
We study the limiting distribution of the degree of a given node in a scaled attachment random recursive tree, a generalized random recursive tree, which is introduced by Devroye et. al (2011). In a scaled attachment random recursive tree, every node $i$ is attached to the node labeled $lfloor iX_i floor$ where $X_0$, $ldots$ , $X_n$ is a sequence of i.i.d. random variables, with support in [0, 1) and distribution function $F$. By imposing a condition on $F$, we show that the degree of a given node is asymptotically normal.
3

1031
1036


M.
Javanian
Department of Statistics, Zanjan University, Zanjan, Iran
Department of Statistics, Zanjan University,
Iran
javanian_m@yahoo.com
trees
Recursive trees
Lyapunov's Theorem
On the FischerClifford matrices of a maximal subgroup of the Lyons group Ly
2
2
The nonsplit extension group $overline{G} = 5^3{^.}L(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in Ly. The group $overline{G}$ in turn has L(3,5) and $5^2{:}2.A_5$ as inertia factors. The group $5^2{:}2.A_5$ is of order 3 000 and is of index 124 in L(3,5). The aim of this paper is to compute the FischerClifford matrices of $overline{G}$, which together with associated partial character tables of the inertia factor groups, are used to compute a full character table of $overline{G}$. A partial projective character table corresponding to $5^2{:}2A_5$ is required, hence we have to compute the Schur multiplier and projective character table of $5^2{:}2A_5$.
3

1037
1052


J.
Moori
University of NorthWest, Mafikeng, South Africa
University of NorthWest, Mafikeng, South
South Africa
jamshid.moori@nwu.ac.za


T.
Seretlo
University of NorthWest, Mafikeng, South Africa
University of NorthWest, Mafikeng, South
South Africa
thekiso.seretlo@nwu.ac.za
Group extensions
Lyons group
character table
Clifford theory FischerClifford matrices