ORIGINAL_ARTICLE
Generalized numerical ranges of matrix polynomials
In this paper, we introduce the notions of C-numerical range and C-spectrum of matrix polynomials. Some algebraic and geometrical properties are investigated. We also study the relationship between the C-numerical range of a matrix polynomial and the joint C-numerical range of its coefficients.
http://bims.iranjournals.ir/article_443_674a1b7f8ad80f809ad9ae7135dde7f9.pdf
2013-10-01T11:23:20
2019-01-21T11:23:20
789
803
matrix polynomial
C-numerical range
Joint C-numerical range
C-spectrum
G.
Aghamollaei
aghamollaei@uk.ac.ir
true
1
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman, Iran
LEAD_AUTHOR
N.
Avizeh
avizeh_narjes@yahoo.com
true
2
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman, Iran
AUTHOR
Y.
Jahanshahi
yaser_j1986@yahoo.com
true
3
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman, Iran
Shahid Bahonar University of Kerman, Kerman, Iran
AUTHOR
ORIGINAL_ARTICLE
A new proof for the Banach-Zarecki theorem: A light
on integrability and continuity
To demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the Banach-Zareckitheorem is presented on the basis of the Radon-Nikodym theoremwhich emphasizes on measure-type properties of the Lebesgueintegral. The Banach-Zarecki theorem says that a real-valuedfunction $F$ 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 $F$.
http://bims.iranjournals.ir/article_444_c68c238e1dfeb0e5bc9a083db174fee9.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
805
819
Banach-Zarecki theorem
Radon-Nikodym theorem
Lusin's condition
A.
Mahdipour Shirayeh
ali.mahdipour@gmail.com
true
1
Postdoctoral Researcher, Brock University, Canada
Postdoctoral Researcher, Brock University, Canada
Postdoctoral Researcher, Brock University, Canada
LEAD_AUTHOR
H.
Eshraghi
eshraghi@iust.ac.ir
true
2
Assistant Professor, Iran University of Science and Technology
Assistant Professor, Iran University of Science and Technology
Assistant Professor, Iran University of Science and Technology
AUTHOR
ORIGINAL_ARTICLE
On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations
Employing a three critical points theorem, we prove the existence ofmultiple solutions for a class of Neumann two-point boundary valueSturm-Liouville type equations. Using a local minimum theorem fordifferentiable functionals the existence of at least one non-trivialsolution is also ensured.
http://bims.iranjournals.ir/article_445_696e71ccb7bc3450096d4b5d2c3603ef.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
821
840
Sturm-Liouville type System
Multiplicity results
Critical point theory
S.
Heidarkhani
s.heidarkhani@razi.ac.ir
true
1
Razi university of Kermanshah
Razi university of Kermanshah
Razi university of Kermanshah
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some combinatorial aspects of finite Hamiltonian groups
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.
http://bims.iranjournals.ir/article_446_709d30bd2ac8176682140ee62d6a4254.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
841
854
Hamiltonian groups
Abelian groups
automorphisms
subgroups
subgroup coverings
M.
Tarnauceanu
tarnauc@uaic.ro
true
1
Faculty of Mathematics, "Al. I. Cuza" University
Faculty of Mathematics, "Al. I. Cuza" University
Faculty of Mathematics, "Al. I. Cuza" University
LEAD_AUTHOR
ORIGINAL_ARTICLE
Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations
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.
http://bims.iranjournals.ir/article_447_4872092001e98d09eefc38bf2ce9a651.pdf
2013-10-01T11:23:20
2019-01-21T11:23:20
855
864
Local boundary conditions
Inverse problem
Fundamental solution
Dirac's delta function
M.
Jahanshahi
jahanshahi@azaruniv.edu
true
1
Azarbaijan university of Tarbiat Moallem
Azarbaijan university of Tarbiat Moallem
Azarbaijan university of Tarbiat Moallem
LEAD_AUTHOR
M.
Sajjadmanesh
s.sajjadmanesh@azaruniv.edu
true
2
Azarbaijan university of Tarbiat Moallem
Azarbaijan university of Tarbiat Moallem
Azarbaijan university of Tarbiat Moallem
AUTHOR
ORIGINAL_ARTICLE
Linear preservers of g-row and g-column majorization on
M_{n,m}
Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization 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) g-row or g-column majorization will be characterized.
http://bims.iranjournals.ir/article_448_1a08baec65b24a4816d12f8601a75dd7.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
865
880
Linear preserver
g-row stochastic matrices
rgw-majorization
lgw-majorization
A.
Armandnejad
armandnejad@gmail.com
true
1
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
LEAD_AUTHOR
Z.
Mohammadi
z.mohammadi@stu.vru.ac.ir
true
2
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
AUTHOR
F.
Akbarzadeh
f.akbarzadeh@stu.vru.ac.ir
true
3
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
AUTHOR
ORIGINAL_ARTICLE
Tutte polynomials of wheels via generating functions
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.
http://bims.iranjournals.ir/article_449_8f1dce2d9821f65d9680e61e1825f866.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
881
891
Tutte polynomial
wheel
fan
generating function
C.
Brennan
charlotte.brennan@wits.ac.za
true
1
University of the Witwatersrand
University of the Witwatersrand
University of the Witwatersrand
AUTHOR
T.
Mansour
toufik@math.haifa.ac.il
true
2
University of Haifa
University of Haifa
University of Haifa
AUTHOR
E.
Mphako-Banda
eunice.mphako-banda@wits.ac.za
true
3
University of Witwatersrand
University of Witwatersrand
University of Witwatersrand
LEAD_AUTHOR
ORIGINAL_ARTICLE
A degree bound for the Graver basis of non-saturated lattices
Let $L$ be a lattice in $ZZ^n$ of dimension $m$. We prove that there exist integer constants $D$ and $M$ which are basis-independent such that the total degree of any Graver element of $L$ is not greater than $m(n-m+1)MD$. The case $M=1$ occurs precisely when $L$ is saturated, and in this case the bound is a reformulation of a well-known bound given by several authors. As a corollary, we show that the Castelnuovo-Mumford regularity of the corresponding lattice ideal $I_L$ is not greater than $rac{1}{2}m(n-1)(n-m+1)MD$.
http://bims.iranjournals.ir/article_450_c921d0b4177605ebd0c5e86cc49f45eb.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
893
901
Non-saturated lattices
Graver bases
lattice ideals
H.
Sabzrou
hossein@ipm.ir
true
1
Assistant Professor of University of Tehran
Assistant Professor of University of Tehran
Assistant Professor of University of Tehran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Applications of Epi-Retractable and Co-Epi-Retractable Modules
A module M is called epi-retractable if every submodule of M is a homomorphic image of M. Dually, a module M is called co-epi-retractable if it contains a copy of each of its factor modules. In special case, a ring R is called co-pli (resp. co-pri) if RR (resp. RR) is co-epi-retractable. It is proved that if R is a left principal right duo ring, then every left ideal of R is an epi-retractable R-module. A co-pli strongly prime ring R is a simple ring. A left self-injective co-pli 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 co-pri ring. Moreover, if R is a left perfect ring such that every projective R-module is co-epi-retractable, then R is a quasi-Frobenius ring.
http://bims.iranjournals.ir/article_451_a85b04c9d7350c032000bab9ef5951af.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
903
917
MSC(2010): Primary: 16D10, 16S50
Secondary: 16D40, 16E60
H.
Mostafanasab
h.mostafanasab@gmail.com
true
1
Isfahan university of Technology
Isfahan university of Technology
Isfahan university of Technology
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Generalization of prime submodules
Let R be a commutative ring with identity and M be a unitary R-module. 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) − m-prime submodules coincide (n,m 2).
http://bims.iranjournals.ir/article_452_42eb5d8e97c6430058365474fa12dd8f.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
919
939
(n − 1, n) − prime submodule
Local ring
multiplication module
M.
Ebrahimpour
mahdieh_ebrahimpour@yahoo.com
true
1
Shahid Bahonar University Of Kerman
Shahid Bahonar University Of Kerman
Shahid Bahonar University Of Kerman
AUTHOR
R.
Nekooei
rnekooei@mail.uk.ac.ir
true
2
Shahid Bahonar University of Kerman
Shahid Bahonar University of Kerman
Shahid Bahonar University of Kerman
LEAD_AUTHOR
ORIGINAL_ARTICLE
POS-groups with some cyclic Sylow
subgroups
A finite group G is said to be a POS-group 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 POS-groups with some cyclic Sylow subgroups.
http://bims.iranjournals.ir/article_453_d4b01d3e0d15bc7e4701de7239c02219.pdf
2013-10-01T11:23:20
2019-01-21T11:23:20
941
957
perfect order subset
POS-group
Frobenius group
R.
Shen
shenrulin@hotmail.com
true
1
Department of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province, 445000, P. R. China
Department of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province, 445000, P. R. China
Department of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province, 445000, P. R. China
AUTHOR
W. J.
Shi
wjshi@suda.edu.cn
true
2
LEAD_AUTHOR
J.
Shi
shi@suda.edu.cn
true
3
LMAM & School of Mathematical Sciences, Peking University,
Beijing, 100871, P. R. China
LMAM & School of Mathematical Sciences, Peking University,
Beijing, 100871, P. R. China
LMAM & School of Mathematical Sciences, Peking University,
Beijing, 100871, P. R. China
AUTHOR
ORIGINAL_ARTICLE
Biflatness of certain semigroup algebras
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).
http://bims.iranjournals.ir/article_454_f4fa201bf0a879cd7aca81e3b061050e.pdf
2013-10-01T11:23:20
2019-01-21T11:23:20
959
969
Biflatness
biprojectivity
semigroup algebras
inverse semigroup
M.
Essmaili
m.essmaili@tmu.ac.ir
true
1
Kharazmi university (Tarbiat Moallem )
Kharazmi university (Tarbiat Moallem )
Kharazmi university (Tarbiat Moallem )
LEAD_AUTHOR
A.
Medghalchi
medghal2000@yahoo.com
true
2
Kharazmi University (Tarbiat Moallem)
Kharazmi University (Tarbiat Moallem)
Kharazmi University (Tarbiat Moallem)
AUTHOR
ORIGINAL_ARTICLE
G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules
Some necessary and sufficient conditions are given for the existence of a G-positive (G-repositive) 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 G-positive (G-repositive) solutions are also derived. Some of the findings of this paper extend some known results in the literature.
http://bims.iranjournals.ir/article_455_cdee254edff96f8755573457f8b11ff8.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
971
992
Hilbert C^{∗}-module
generalized inverse
Operator equation
G.
Song
sgjshu@yahoo.com.cn
true
1
University of Weifang, P. R. China
University of Weifang, P. R. China
University of Weifang, P. R. China
LEAD_AUTHOR
ORIGINAL_ARTICLE
Geodesic metric spaces and generalized nonexpansive multivalued mappings
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.
http://bims.iranjournals.ir/article_456_9a60fdb5fa9a311ab14cfc56137c9f3b.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
993
1008
fixed point
generalized nonexpansive mapping
CAT(0) space
geodesic metric space
asymptotic center
A.
Abkar
aliabkar99@gmail.com
true
1
Imam Khomeini International University
Imam Khomeini International University
Imam Khomeini International University
AUTHOR
M.
Eslamian
mhmdeslamian@gmail.com
true
2
Imam Khomeini International University
Imam Khomeini International University
Imam Khomeini International University
LEAD_AUTHOR
ORIGINAL_ARTICLE
Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds
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.
http://bims.iranjournals.ir/article_457_30835d587e52fae1944d0dcc1ecbd3ab.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
1009
1029
indefinite Kaehler Manifolds
GCR-lightlike submanifold
totally umbilical
lightlike submanifold
R.
Nagaich
nagaichrakesh@yahoo.co.in
true
1
Department of Mathematics, Punjabi University,
Patiala 147 002. India
Department of Mathematics, Punjabi University,
Patiala 147 002. India
Department of Mathematics, Punjabi University,
Patiala 147 002. India
AUTHOR
R.
Kumar
dr_rk37c@yahoo.co.in
true
2
University College of Engineering
Punjabi University, Patiala, India
University College of Engineering
Punjabi University, Patiala, India
University College of Engineering
Punjabi University, Patiala, India
LEAD_AUTHOR
S.
Kumar
sp7maths@gmail.com
true
3
Department of Applied Sciences, Chitkara University, India
Department of Applied Sciences, Chitkara University, India
Department of Applied Sciences, Chitkara University, India
AUTHOR
ORIGINAL_ARTICLE
Limit distribution of the degrees in scaled attachment random recursive trees
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.
http://bims.iranjournals.ir/article_458_63e25d39e913e72ed5c4039ad4b7b99d.pdf
2013-10-01T11:23:20
2019-01-21T11:23:20
1031
1036
trees
Recursive trees
Lyapunov's Theorem
M.
Javanian
javanian_m@yahoo.com
true
1
Department of Statistics, Zanjan University, Zanjan, Iran
Department of Statistics, Zanjan University, Zanjan, Iran
Department of Statistics, Zanjan University, Zanjan, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly
The non-split 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 Fischer-Clifford 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 $5^2{:}2A_5$.
http://bims.iranjournals.ir/article_459_58273f9efd05d9a6da2fc3790b5110c6.pdf
2013-10-15T11:23:20
2019-01-21T11:23:20
1037
1052
Group extensions
Lyons group
character table
Clifford theory Fischer-Clifford matrices
J.
Moori
jamshid.moori@nwu.ac.za
true
1
University of North-West, Mafikeng, South Africa
University of North-West, Mafikeng, South Africa
University of North-West, Mafikeng, South Africa
AUTHOR
T.
Seretlo
thekiso.seretlo@nwu.ac.za
true
2
University of North-West, Mafikeng, South Africa
University of North-West, Mafikeng, South Africa
University of North-West, Mafikeng, South Africa
LEAD_AUTHOR