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Latest
Issue
Volume
10, No.
4,
December
2017
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Articles |
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On Cones
Associated
With
Schauder
Frames
In this
paper, we de
ne cone CF
associated
with
Schauder
frame F =
({xn}; {fn})
in Banach
spaces. A
necessary
and su cient
condition
for a cone
CF to be
normal has
been given.
Also, we
have
obtained a
su cient
condition
for the cone
CF to be
minihedral
and show
that the
converse is
not true in
general.
Moreover, we
have given
some
necessary
and su cient
conditions
for the cone
CF to be
generating
and has a
bounded
base.
Finally, a
characterization
of
normalized
Schauder
frames of
type P , al+
and w0 and a
su cient
condition
for the cone
CF1
associated
with
normalized
shrinking
Schauder
frame F1 =
{(enxn; enfn)}
has been
given.
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Shah Jahan
Varinder Kumar
JJMS,
2017, 10(4),265-280
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Holomorphic Functions of Several Complex Variables
The
aim
of
this
paper
is
to
give
some
results
on
the
generalization
of
theorem
the
Guelfond.
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Chahrazed
Harrat
Bachir
Djebbar
JJMS,
2017, 10(4),281-295
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Computing Intersections, Dual and Divisorial Closure of Ideals in A Class of Rings
Let D be an integral domain, X an indeterminate over D and let n be
a positive integer. The set fa0 + a1Xn + a2X3 + anXn j ai 2 Dg is a subrings of D[X] denoted by D+XnD[X]. This class of subrings is studied in [1] for n = 2.
In this article we nd explicit formulas to compute nite intersections, dual and divisorial closure of monomial ideals of D + XnD[X].
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S. U. Rehman
N. Siddique
JJMS,
2017, 10(4),297-306
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A New Characterization of PSL(3; q)
In this paper, we will show that the simple group PSL(3; q) can be
uniquely characterized by order and one conjugacy class length, where q is a prime power. A main consequence of our result is the validity of Thompson's conjecture under a weak condition for the group under consideration.
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Alireza
Khalili
Asboei
JJMS, 2017,
10(4),307-317
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Quasi-Zariski Topology on the Quasi-Primary Spectrum of A Module
Let R be a commutative ring with a nonzero identity and M be a
unitary R-module. A submodule Q of M is called quasi-primary if Q ≠ M and, whenever r 2 R, x 2 M, and rx 2 Q, we have r 2 p(Q : M) or x 2 radQ. A submodule N of M satis es the primeful property if and only if M=N is a primeful R-module. We let q:Spec(M) denote the set of all quasi-primary submodules of M satisfying the primeful property. The aim of this paper is to introduce and study a topology on q:Spec(M) which is called quasi-Zariski topology of M. We investigate, in particular, the interplay between the properties of this space and the algebraic properties of the module under consideration. Modules whose quasi-Zariski topology is, respectively T0, T1 or irreducible, are studied, and several characterizations of such modules are given. Finally, we obtain conditions under which q:Spec(M) is a spectral space.
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Mahdi Samiei
Hosein
Fazaeli
Moghimi
JJMS, 2017,
10(4),319-345
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