2024-03-28T19:07:44+03:30
http://ijmsi.ir/browse.php?mag_id=9&slc_lang=en&sid=1
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
Linear Functions Preserving Multivariate and Directional Majorization
A.
Armandnejad
H. R.
Afshin
Let V and W be two real vector spaces and let ;sim be a relation on both V and W. A linear function T : V → W is said to be a linear preserver (respectively strong linear preserver) of ;sim if Tx ;sim Ty whenever x ;sim y (respectively Tx ;sim Ty if and only if x ;sim y). In this paper we characterize all linear functions T : M_{n,m} → M_{n,k} which preserve or strongly preserve multivariate and directional majorization.
Doubly Stochastic matrices
Directional majorization
Multivariate majorization
Linear preserver.
2010
5
01
1
5
http://ijmsi.ir/article-1-105-en.pdf
10.7508/ijmsi.2010.01.001
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
Clifford Wavelets and Clifford-valued MRAs
A.
Askari Hemmat
Z.
Rahbani
In this paper using the Clifford algebra over R4 and its matrix representation, we construct Clifford scaling functions and Clifford wavelets. Then we compute related mask functions and filters, which arise in many applications such as quantum mechanics.
Clifford Wavelets
Clifford algebra
Multiresolution Analysis
Wavelets.
2010
5
01
7
18
http://ijmsi.ir/article-1-106-en.pdf
10.7508/ijmsi.2010.01.002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
The Dual of a Strongly Prime Ideal
Reza
Jahani-Nezhad
Let R be a commutative integral domain with quotient field K and let P be a nonzero strongly prime ideal of R. We give several characterizations of such ideals. It is shown that (P : P) is a valuation domain with the unique maximal ideal P. We also study when P^{;minus1} is a ring. In fact, it is proved that P^{;minus1} = (P : P) if and only if P is not invertible. Furthermore, if P is invertible, then R = (P : P) and P is a principal ideal of R.
Strongly prime ideal
Divided ideal
Valuation domain.
2010
5
01
19
26
http://ijmsi.ir/article-1-107-en.pdf
10.7508/ijmsi.2010.01.003
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
On the Smoothness of Functors
A.
Bajravani
A.
Rastegar
In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.
Abelian Category
First Order Deformations
Multicategory
Tangent Category
Topologizing Subcategory.
2010
5
01
27
39
http://ijmsi.ir/article-1-110-en.pdf
10.7508/ijmsi.2010.01.004
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
On Generalization of Cebysev Type Inequalities
Mehmat Zeki
Sarikaya
Aziz
Saglam
Huseyin
Yildirim
In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.
Hölder\'s integral inequality
Cebysev type inequality
L_{p} spaces.
2010
5
01
41
48
http://ijmsi.ir/article-1-108-en.pdf
10.7508/ijmsi.2010.01.005
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
C*-Algebra numerical range of quadratic elements
M. T.
Heydari
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the C*-algebra numerical range.
C*-algebra
Numerical range
Quadratic element
Faithful representation.
2010
5
01
49
53
http://ijmsi.ir/article-1-111-en.pdf
10.7508/ijmsi.2010.01.006
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
10.61186/ijmsi
2010
5
1
Quantum Error-Correction Codes on Abelian Groups
Massoud
Amini
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
Quantum error correction
Qunatum Fourier transform
Quantum channel.
2010
5
01
55
67
http://ijmsi.ir/article-1-104-en.pdf
10.7508/ijmsi.2010.01.007